STAGE-1-Test Paper-5 Physics

Time : 1.00 Hr Max. Marks : 81 GENERAL INSTRUCTIONS 1. There are 22 questions in this paper. 2. For each question in Section I , you will be awarded 3 Marks if you give the correct answer and zero Mark if no answer is given. In all other cases, minus one (–1) Mark will be awarded. 3. For each question in Section II , you will be awarded 3 Marks if you give the correct answer and zero Mark if no answer is given. In all other cases, minus one (–1) Mark will be awarded. 4. For each question in Section III, you will be awarded 4 Marks if you give the correct answer and zero Mark if no answer is given. In all other cases, minus one (–1) Mark will be awarded. 5. For each question in Section IV, you will be awarded 6 Marks if ALL the answers are correctly given. No negative Mark will be awarded for an incorrect answer. SECTION - I Straight Objective Type This section contains 9 multiple choice questions numbered 1 to 9. Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. 1. In the options given below, let E denote the rest mass energy of a nucleus and n a neutron. The correct option is : (A) E 236U > E 137 I + E 97 Y + 2E(n) (B) E 236U < E 137 I + E 97 Y + 2E(n) (C) E 236U < E 140Ba + 94Kr + 2E(n) (D) E  236U = E 140Ba + E  94Kr + 2E(n 2. The largest wavelength in the ultraviolet region of the hydrogen spectrum is 122 nm. The smallest wavelength in the infrared region of the hydrogen spectrum (to the nearest integer) is (A) 802 nm (B) 823 nm (C) 1882 nm (D) 1648 nm 3. A circuit is connected as shown in the figure with the switch S open. When the switch is closed, the total amount of charge that flows from Y to X is (A) 0 (B) 54 C (C) 27 C (D) 81 C 9 V 4. A ray of light traveling in water is incident on its surface open to air. The angle of incidence is , which is less than the critical angle. Then there will be : (A) only a reflected ray and no refracted ray (B) only a refracted ray and no reflected ray (C) a reflected ray and a refracted ray and the angle between them would be less than 180º – 2 (D) a reflected ray and a refracted ray and the angle between them would be greater than 180º – 2. 5. A long hollow conducting cylinder is kept coaxial inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral. (A) A potential difference appears between the two cylinders when a charge density is given to the inner cylinder (B) A potential difference appears between the two cylinders when a charge density is given to the outer cylinder (C) No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders (D) No potential difference appears between the two cylinders when same charge density is given to both the cylinders 6. Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the sphere is then, (A) negative and distributed uniformly over the surface of the sphere (B) negative and appears only at the point on the sphere closest to the point charge (C) negative and distributed non-uniformly over the entire surface of the sphere (D) zero 7. In an experiment to determine the focal length (f) of a concave mirror by the u – v method, a student places the object pin A on the principal axis at a distance x from the pole P. The student looks at the pin and its inverted image from a distance keeping his/her eye in line with PA. When the student shifts his/her eye towards left, the image appears to the right of the object pin. Then, (A) x < f (B) f < x < 2f (C) x = 2f (D) x > 2f 8. Two particles of mass m each are tied at the ends of a light string of length 2a. The F whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance ‘a’ from the centre P (as shown in the figure). Now, the mid-point of the string is pulled vertically upwards with a small but con- m P m stant force F. As a result, the particles move towards each other on the surface. The magnitude of acceleration, when the separation between them becomes 2x, is a a (A) F x (C) (B) (D) F a2  x2 2m a 2m x 9. A resistance of 2  is connected across one gap of a metre-bridge (the length of the wire is 100 cm) and an unknown resistance, greater than 2 , is connected across the other gap. When these resistances are interchanged, the balance point shifts by 20 cm. Neglecting any corrections, the unknown resistance is (A) 3  (B) 4  (C) 5  (D) 6  SECTION - II Assertion and Reason Type This section contains 4 questions numbered 10 to 13. Each question contains Statement-1 (Assertion) and Statement-2 (Reason). Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. 10. Statement - 1 : A block of mass m starts moving on a rough horizontal surface with a velocity v. It stops due to friction between the block and the surface after moving through a certain distance. The surface is now tilted to an angle of 30º with the horizontal and the same block is made to go up on the surface with the same initial velocity v. The decrease in the mechanical energy in the second situation is smaller than that in the first situation. Statement - 2 : The coefficient of friction between the block and the surface decreases with the increase in the angle of inclination. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True. 11. Statement - 1 : In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. Statement - 2 : In a elastic collision, the linear momentum of the system is conserved (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True. 12. Statement - 1 : The formula connecting u, v and f for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature. Statement - 2 : Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True. 13. Statement-1 : If the accelerating potential in an X-ray tube is increased, the wavelengths of the characteris- tic X-rays do not change. Statement-2 : When an electron beam strikes the target in an X-ray tube, part of the kinetic energy is converted into X-ray energy. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True. SECTION - III Linked Comprehension Type This section contains 2 paragraphs C14-16 and C17-19. Based upon each paragraph, 3 multiple choice questions have to be answered. Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. C14-16 : Paragraph for Question Nos. 14 to 16 Two discs A and B are mounted coaxial on a vertical axle. The discs have moments of inertia  and 2 respectively about the common axis. Disc A is imparted an initial angular velocity 2 using the entire poten- tial energy of a spring compressed by a distance x . Disc B is imparted an angular velocity  by a spring having the same spring constant and compressed by a distance x2. Both the discs rotate in the clockwise direction. 14. The ratio x1/x2 is - (A) 2 (B) 1 2 (C) (D) 15. When disc B is brought in contact with disc A, they acquire a common angular velocity  in time t. The average frictional torque on one disc by the other during this period is - (A) 2 3t (B) 9 2t (C) 9 4t (D) 3 2t 16. The loss of kinetic energy during the above process is - 2 (A) 2 2 (B) 3 2 (C) 4 2 (D) 6 17. C17-19 : Paragraph for Question Nos. 17 to 19 A fixed thermally conducting cylinder has a radius R and height L0. The cylinder is open at its bottom and has a small hole at its top. A piston of mass M is held at a distance L from the top surface, as shown in the figure. The atmospheric pressure is P0. 2R L L0 Piston The piston is now pulled out slowly and held at a distance 2L from the top. The pressure in the cylinder between its top and the piston will then be (A) P0 (B) P0 2 (C) P0  2 Mg R2 (D) P0  2 Mg R2 18. While the piston is at a distance 2L from the top, the hole at the top is sealed. The piston is then released, to a position where it can stay in equilibrium. In this condition, the distance of the piston from the top is  2P0 R2   P0 R2  Mg  (A)  2 (2L) (B)  (2L)  R P0  Mg   R P0       P0 R2  Mg   P0 R2  (C)   R2 P0 (2L)  (D)   (2L) 2 P0  Mg  19. The piston is taken completely out of the cylinder. The hole at the top is sealed. A water tank is brought below the cylinder and put in a position so that the water surface in the tank is at the same level as the top of the cylinder as shown in the figure. The density of the water is . In equilibrium, the height H of the water column in the cylinder satisfies (A)  g (L – H)2 + P (L – H) + L P = 0 (B)  g (L – H)2 – P (L – H) – L P = 0 (C)  g (L – H)2 + P (L – H) – L P = 0 (D)  g (L – H)2 – P (L – H) + L P = 0 SECTION - IV Matrix-Match Type This section contains 3 questions numbered 20 to 22. Each question has four statements (A, B, C and D) given in Column-I and four statements (p,q,r and s) in Column-II. Any given statement in Column-I can have correct matching with ONE OR MORE statement(s) in Column-II. The answers to these questions have to be appropriately marked as illustrated in the following example. If the correct matches are A-p, A-r, B- p, B-s, C-r, C-s and D-q then the answer should be written as : A  p,r ; B p, s ; C  r, s ; D  q. 20. Some laws / processes are given in Column-Ι. Match these with the physical phenomena given in Column-ΙΙ. Column Ι (A) Transition between two atomic energy levels (p) Column ΙΙ Characteristic X-rays (B) Electron emission from a material (q) Photoelectric effect (C) Mosley’s law (r) Hydrogen spectrum (D) Change of photon energy into kinetic energy of electrons (s) -decay 21. Column  gives certain situations in which a straight metallic wire of resistance R is used and Column  gives some resulting effect. Match the statements in Column  with the statements in Column  Column Ι (A) A charge capacitor is connected to the ends of the wire (p) Column ΙΙ A constant current flows through the wire (B) The wire is moved perpendicular to its length with a constant velocity in a uniform magnetic field perpendicular to the plane of motion. (q) Thermal energy is generated in the wire (C) The wire is placed in a constant electric field that has a direction along the length (r) A constant potential difference develops between the ends of the wire. of the wire. (D) A battery of constant emf is connected to the ends of the wire. (s) Charges of constant magnitude appear at the ends of the wire. 22. Some physical quantities are given in Column Ι and some possible SI units in which these quantities may be expressed are given in Column ΙΙ. Match the physical quantities in Column Ι with the units in Column ΙΙ. Column Ι Column ΙΙ (A) GMeMs (p) (volt) (coulomb) (metre) G - universal gravitational constant, Me - mass of the earth, Ms - mass of the Sun 3RT (B) (B) (C) (C) (D) (D) M R - universal gas constant, T - absolute temperature, M - molar mass F2 q2B2 F - force, q - charge, B - magnetic field GMe Re G - universal gravitational constant, Me - mass of the earth Re - radius of the earth (q) (kilogram) (metre)3 (second)–2 (r) (metre)2 (second)–2 (s) (farad) (volt)2 (kg)–1 PAPER - 2 Time : 1.00 Hr Max. Marks : 81 GENERAL INSTRUCTIONS 1. There are 22 questions in this paper. 2. For each question in Section I , you will be awarded 3 Marks if you give the correct answer and zero Mark if no answer is given. In all other cases, minus one (–1) Mark will be awarded. 3. For each question in Section II , you will be awarded 3 Marks if you give the correct answer and zero Mark if no answer is given. In all other cases, minus one (–1) Mark will be awarded. 4. For each question in Section III, you will be awarded 4 Marks if you give the correct answer and zero Mark if no answer is given. In all other cases, minus one (–1) Mark will be awarded. 5. For each question in Section IV, you will be awarded 6 Marks if ALL the answers are correctly given. No negative Mark will be awarded for an incorrect answer. SECTION - I Straight Objective Type This section contains 9 multiple choice questions numbered 1 to 9. Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. (A) ring (B) solid sphere (C) hollow sphere (D) disc 2. A spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume as shown in the figure. The electric field inside the emptied space is (A) zero everywhere (B) non-zero and uniform (C) non-uniform (D) zero only at its center 3. A student performs an experiment to determine the Young’s modulus of a wire, exactly 2 m long, by Searle’s method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of ±0.05 mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an uncertainty of ±0.01 mm. Take g = 9.8 m/s2 (exact). The Young’s modulus obtained from the reading is (A) (2.0 ± 0.3) × 1011 N/m2 (B) (2.0 ± 0.2) × 1011 N/m2 (C) (2.0 ± 0.1) × 1011 N/m2 (D) (2.0 ± 0.05) × 1011 N/m2 4. A magnetic field → B  B0 j exists in the region a < x < 2a and B0 →  B ˆj , in the region 2a < x < 3a, where B is a positive con- stant. A positive point charge moving with a velocity →  v ˆi , where 0 x v0 is a positive constant, enters the magnetic field at x = a. The trajectory of the charge in this region can be like, -B0 z z (A) 0 x (B) 0 x z z (C) 0 x (D) 0 x 5. In the experiment to determine the speed of sound using a resonance column, (A) prongs of the tuning fork are kept in a vertical plane (B) prongs of the tuning fork are kept in a horizontal plane (C) in one of the two resonances observed, the length of the resonating air column is close to the wavelength of sound in air (D) in one of the two resonances observed, the length of the resonating air column is close to half of the wavelength of sound in air. 6. Electrons with de-Broglie wavelength  fall on the target in an X-ray tube. The cut-off wavelength of the emitted X-rays is - (A)  2mc 2 = h (B)  2h = mc (C)  2m2 c 2 3 = h2 (D)  =  7. A particle moves in the X-Y plane under the influence of a force such that its linear momentum is → p(t)  Aˆi cos(kt)  ˆj sin(kt), where A and k are constants. The angle between the force and the momen- tum is - (A) 0º (B) 30º (C) 45º (D) 90º  0, 0, a   0, 0,  a  8. Positive and negative point charges of equal magnitude are kept at  2  and  2  , respectively.     The work done by the electric field when another positive point charge is moved from (–a, 0, 0) to (0, a, 0) is (A) positive (B) negative (C) zero (D) depends on the path connecting the initial and final positions. 9. Water is filled up to a height h in a beaker of radius R as shown in the figure. The density of water is , the surface tension of water is T and the atmospheric pressure is P0. Consider a vertical section ABCD of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude (A) 2P0 Rh  R2  gh  2R T (B) 2P0 Rh  Rgh2  2R T D (C) P0 R2  R gh2  2RT (D) P0 R2  R  gh2  2RT SECTION - II Assertion and Reason Type This section contains 4 questions numbered 10 to 13. Each question contains Statement-1 (Assertion) and Statement-2 (Reason). Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. 10. Statement-1 : The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume. Statement - 2 : The molecules of a gas collide with each other and the velocities of the molecules change due to the collision. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True. 11. Statement-1 : A vertical iron rod has a coil of wire wound over it at the bottom end. An alternating current flows in the coil. The rod goes through a conducting ring as shown in the figure. The ring can float at a certain height above the coil. Statement-2 : In the above situation, a current is induced in the ring which interacts with the horizontal component of the magnetic field to produce an average force in the upward direction (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True. 12. Statement-1 : A cloth covers a table. Some dishes are kept on it. The cloth can be pulled out without dislodging the dishes from the table. Statement-2 : For every action there is an equal and opposite reaction. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True. 13. Statement-1 : If there is no external torque on a body about its centre of mass, then the velocity of the center of mass remains constant. Statement-2 : The linear momentum of an isolated system remains constant. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True. SECTION - III Linked Comprehension Type The section contains 2 paragraphs C14 - 16 and C17 - 19. Based upon each paragraph, 3 multiple choice questions have to be answered. Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. C14-16 : Paragraph for Question Nos. 14 to 16 Two trains A and B are moving with speeds 20 m/s and 30 m/s respectively in the same direction on the same straight track, with B ahead of A. The engines are at the front ends. The engine of train A blows a long whistle. Assume that the sound of the whistle is composed of components varying in frequency from f1 = 800 Hz to f2 = 1120 Hz, as shown in the figure. The spread in the fre- quency (highest frequency – lowest frequency) is thus 320 Hz. The speed of sound in still air is 340 m/s. 14. The speed of sound of the whistle is (A) 340 m/s for passengers in A and 310 m/s for passengers in B (B) 360 m/s for passengers in A and 310 m/s for passengers in B (C) 310 m/s for passengers in A and 360 m/s for passengers in B (D) 340 m/s for passengers in both the trains f1 f2 frequency 15. The distribution of the sound intensity of the whistle as observed by the passengers in train A is best represented by (A) (B) (C) (D) 16. The spread of frequency as observed by the passengers in train B is (A) 310 Hz (B) 330 Hz (C) 350 Hz (D) 290 Hz C17-19 : Paragraph for Question Nos. 17 to 19 The figure shows surface XY separating two transparent media, medium–1 and medium–2. The lines ab and cd represent wavefronts of a light wave travelling in medium–1 and incident on XY. The lines ef and gh represent wavefronts of the light wave in medium–2 after refraction. b d medium-1 X h Y medium-2 e g 17. Light travels as a (A) parallel beam in each medium (B) convergent beam in each medium (C) divergent beam in each medium (D) divergent beam in one medium and convergent beam in the other medium 18. The phases of the light wave at c,d,e and f are fc, fd, fe and ff respectively. It is given that fc = ff : (A) fc cannot be equal to fd (B) fd can be equal to fe (C) (fd – ff) is equal to (fc – fe) (D) (fd – fc) is not equal to (ff – fe) 19. Speed of light is (A) the same in medium–1 and medium–2 (B) larger in medium–1 than in medium–2 (C) larger in medium–2 than in medium–1 (D) different at b and d SECTION - IV Matrix-Match Type This section contains 3 questions numbered 20 to 22. Each question has four statements (A, B, C and D) given in Column-I and four statements (p,q,r and s) in Column-II. Any given statement in Column-I can have correct matching with ONE OR MORE statement(s) in Column-II. The answers to these questions have to be appropriately marked as illustrated in the following example. If the correct matches are A-p, A-r, B- p, B-s, C-r, C-s and D-q then the answer should be written as : A  p,r ; B p, s ; C  r, s ; D  q. 20. Column Ι describes some situations in which a small object moves. Column ΙΙ describes some characteristics of these motions. Match the situations in Column Ι with the characteristics in Column ΙΙ. Column Ι Column ΙΙ (A) The object moves on the x–axis under a conservative (p) The object executes a simple force in such a way that its "speed" and "position" harmonic motion. satisfy v = c1 are positive constants. , where c1 and c2 (B) The object moves on the x–axis in such a way that (q) The object does not change its is velocity and its displacement from the origin satisfy direction, v = –kx, where k is a positive constant. (C) The object is attached to one end of a massless spring (r) The kinetic energy of the of a given spring constant. The other end of the spring is object keeps on decreasing. attached to the ceiling of an elevator. Initially everything is at rest. The elevator starts going upwards with a constant acceleration a. The motion of the object is observed from the elevator during the period it maintains this acceleration. (D) The object is projected from the earth's surface vertically (s) The object can change its upwards with a speed 2 , where Me is the mass direction only once. of the earth and Re is the radius of the earth. Neglect forces from objects than the earth. 21. Two wires each carrying a steady current  are shown in four configurations in Column . Some of the resulting effects are describes in Column . Match the statements in Column  with the statements in Column  Column Ι Column ΙΙ (A) Point P is situated midway (p) The magnetic fields (B) at P due to the between the wires. P currents in the wires are in the same direction. (B) Point P is situated at the mid–point of the line (q) The magnetic field B) at P due to the joining the centres of the circular wires, currents in the wires are in opposite which have same radii. directions. (C) Point P is situated at the mid–point of the line (r) There is no magnetic field at P. joining the centers of the circular wires, which have same radii. (D) Point P is situated at the common center (s) The wires repel each other. of the wires. 22. Column Ι gives some devices and Column ΙΙ gives some processes on which the functioning of these devices depend. Match the devices in Column Ι with the processes in Column ΙΙ . Column Ι Column ΙΙ (A) Bimetallic strip (p) Radiation from a hot body (B) Steam engine (q) Energy conversion (C) Incandescent lamp (r) Melting (D) Electric fuse (s) Thermal expansion of solids A nswers PAPER - 1 1. (A) 2. (B) 3. (C) 4. (C) 5. (A) 6. (D) 7. (B) 8. (B) 9. (A) 10. (C) 11. (B) 12. (C) 13. (B) 14. (C) 15. (A) 16. (B) 17. (A) 18. (D) 19. (C) 20. (A)  (p), (r); (B)  (q), (s); (C)  (p); (D)  (q) 21. (A)  (q); (B)  (r) (s) ; (C)  (s); (D)  (p), (q), (r) 22. (A)  (p),(q); (B)  (r), (s); (C)  (r), (s); (D)  (r), (s) PAPER - 2 1. (D) 2. (B) 3. (B) 4. (A) 5. (A) 6. (A) 7. (D) 8. (C) 9. (B) 10. (B) 11. (A) 12. (B) 13. (D) 14. (B) 15. (A) 16. (A) 17. (A) 18. (C) 19. (B) 20. (A)  (p); (B)  (q), (r); (C)  (p); (D)  (q), (r) 21. (A)  (q), (r); (B)  (p); (C)  (q), (r); (D)  (q) 22. (A)  (s); (B)  (q); (C)  (p), (q); (D)  (q), (r) STAGE SOLUTIONS TO TEST PAPERS (PHYSICS) 2 1. Since energy is released in a fission process, the rest mass energy must decrease. 2. The series in uv region is Lyman series. Longest wavelength corresponds to minimum energy which occurs in transition from n = 2 to n = 1. 1/ R  122 = 1  1 12 22 ....(1) The smallest wavelength in the infrared region corresponds to maximum energy of Paschen series  = 1/ R ....(2) 1  1 32  from (1) and (2)  = 823.5 nm. 3. When switch is opened, the circuit is as shown in figure 1 since the capacitors are in series plates b and c will have equal and opposite charges  q + qc = 0 when switch is closed, the circuit is as shown in figure 2 In steady state, the current in the resistances is 1 amp. Potential difference across 3F = potential difference across 3 = 3 volt. Similarly p.d. across 6 F is 6 volt  charge on plate b = – 9 C and charge on plate c = + 36 C  charge on plates b and c = +36 – 9 = +27 C. The change in charges on plates b and c goes through wire from Y to X. 4. There will be partial reflection and refraction as shown in figure. Angle between the reflected ray and the refracted ray = 180 – ( + ) which is less than 180 – 2 (because  > )  air refracted ray   Reflected ray 5. When inner cylinder is charged (outer cylinder may or may not be charged) an electric field will be present in the gap between the cylinders which will produce a potential difference. 6. Sphere is electrically neutral therefore net charge will be zero. 7. Since object and image move in opposite directions, the positioning should be as shown in figure. Object lies between focus and centre of curvature f < x < 2f T cos 8. F = 2T sin  a = m F cos  F x a = 2m sin = 2m 9. 2(100 – y) = xy Also (100 – y) – y = 20 on solving y = 40 cm, x = 3  10. In horizontal plane kinetic energy of the block is completely converted into heat due to friction but in the case of inclined plane some part of this kinetic energy is also converted into gravitational potential energy. So decrease in the mechanical energy in second situation is smaller than that in the first situation. So state- ment-1 is correct. Coefficient of Friction does not depends on normal reaction In  case normal reaction changes with inclination but not coefficient of friction so this statement is wrong. 11. According to Newton’s Law → → v2  v1 e = → → u1  u2 For elastic collision coefficient of restitution e = 1 so → → v2  v1 = → → u1  u2 Statement - 1 is correct Linear momentum is conserved in both elastic & non elastic collision but it’s not the explanation of statement -1 so it is not the correct explanation of the statement A. 12. Laws of reflection are valid for all surfaces. So statement (2) is incorrect. 13. Both statements are correct but statement (2) is not correct explanation of statement (1). Energy of characteristic x-ray depends on the difference in energy levels. 14. 1    (2)2  1 kx2   1  2  2  1 kx 2  x1 = 2 2 1 2 2 2 x 15. Apply conservation of angular momentum 4 ( × 2) + (2 × ) = ( + 2) ’  ’ = 3 2 For Disc A  t =  × (2 – ’)   = 3t 16. Initial Kinetic Energy k1 = 1 ×  × (2)2 + 2 1 1 1 ×2 × 2 2 Final Kinetic Energy k2 = 2 ×  × ’2 + 2 × 2 ’2 2 Loss of Kinetic Energy = k1 – k2 = 3 17. Since it is open from the top, the pressure will be P0 18. Resultant force on the piston is zero (Let pressure in air be P.) From the equilibrium of the piston (P – P) R2 = Mg Mg (P – P) R2 P = P0 – R2 From the conservation of moles of air : P1V1 = P2V2 , it follows that P0 . 2L = Px  x = P0 .2L = P0 2L P P0 – Mg R2 19. Pressure in air inside cylinder = Pressure at point A = P0 +(L0 – H) g PV = constant in the air inside the cylinder _ _ _ _ _ _ _ _ _ _ _ L –H _ _ _ _ _ _ _ _ _ _ _ _ _ _ 0 _ _ _ _ _ _ _ _ _ _ _A_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _  P L = [P + (L – H)g] (L – H) P (L – H) + g (L – H)2 – P L = 0 20. Different related laws / processes. 21. EMF = VB𝑙 is generated, constant charges will also appear at the end of wire. There is no heat loss after steady state which will come within a very small time. + + × × × × × × × × v × × × × × × ––× × – × × × × (C) + + + E (D) Charge will be induced but net p.d. = 0 because net electric field inside the conductor is zero. i  emf R Heat = i2 Rt 22. (A) ML3 T–2 (P) ML3 T–2 (B) L2 T–2 (Q) ML3 T–2 (C) L2 T–2 (R) L2 T–2 (D) L2 T–2 (S) L2 T–2 PAPER - 2 1. From the conservation of energy loss in KE of body = Gain in potential energy 1 1 2 mv2 + 2  v 2   r  = mg 3 v 4 g on solving I =   mr 2 2  The body is a disc 2. Electric field at P = E due to full sphere – E due to charge that would be present in cavity → → r1 r2 = – =  →  → = a 30 30 30 r1  r2  30 It is uniform. mg 3. r 2 = (y) x 𝑙  y = mg𝑙 0  2  = 2 × 1011 N/m2 0  d  x      y   d  x  0.01 0.05 9    2   y d x = 2  0.4   0.8 = 80  max     9 y = 80 × 2 × 1011 = 0.225 × 1011 y = 2 × 1011 ± 0.2 × 1011 = (2 ± 0.2) × 1011 N/m2 So Ans. is (B) 4. Magnetic field in the region a < x < 2a will turn the particle towards positive Z-axis while the magnetic field in the region 2a < x < 3a will exert force in opposite direction. The turning is smooth because the magnetic force is NOT impulsive. 5. Resonance in water column. 6. p  h   K.E. = p2 2m = h2 2m2 h2 hc If entire K.E. of electron is converted into photon then 2m2 = 0  2mc2 0 = h → → 7. F  dp dt → p F  0 = Ak  sin kt ˆi  coskt ˆj so  = 90º 8. Both the points are at equatorial position. So, potential is zero at both the points. 9. Pushing force =

(Area)  (p0 )  (p0  gh)  (2Rh) =   = 2p0  2  Rh +  g h2 R Pulling force = (T) (2R) Net force = 2p0Rh  gh2R  2TR 10. Translational K.E. = (3/2)nRT 11. Due to induce current in coil, force between two coil is generated. 12. If normal is non impulsive then friction force is also non impulsive. 13. If external torque = 0, then angular momentum = constant =  14. VS/A = 340 + 20 = 360 20 30 20 340 340 VS/B = 340 – 30 = 310 15. Because VS = VO = 20 so as seen from passengers of train A, f´ = f0 f´1 = f1 f´2 = f2 frequency 16. As seen from B  340  30 (800) f´ =   min f´max  340  20    340  30 (1120) 340  20   f´max f´min  310 17 d rare rays c rays dense Wavefronts (Normal to rays) are parallel. So rays should also be parallel. 18 c and d are at same wavefronts So fC = fd and fe = ff  f – f = f – f c f D is incorrect fd – fc = 0 ff – fe = 0 So both should be equal. 19 Ray is bending towards normal. So, medium 1 should be rarer and medium 2 should be denser. So, V1 > V2 . 20. Different equations of SHM between a , v , x . 21. Magnetic field due to current carrying wire at different points. 22. Relation between different devices and their process. STAGE SIMILAR TEST PAPERS (PHYSICS) 3 PAPER - 1 Time : 1.00 Hr Max. Marks : 81 GENERAL INSTRUCTIONS 1. There are 22 questions in this paper. 2. For each question in Section I , you will be awarded 3 Marks if you give the correct answer and zero Mark if no answer is given. In all other cases, minus one (–1) Mark will be awarded. 3. For each question in Section II , you will be awarded 3 Marks if you give the correct answer and zero Mark if no answer is given. In all other cases, minus one (–1) Mark will be awarded. 4. For each question in Section III, you will be awarded 4 Marks if you give the correct answer and zero Mark if no answer is given. In all other cases, minus one (–1) Mark will be awarded. 5. For each question in Section IV, you will be awarded 6 Marks if ALL the answers are correctly given. No negative Mark will be awarded for an incorrect answer. SECTION - I Straight Objective Type This section contains 9 multiple choice questions numbered 1 to 9. Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. 1. For equation given below, E1 denote the rest mass energy of uranium nucleus, E2 denote the rest mass energy in the intermediate state, and E3 denote the rest mass energy of uranium fragments - 236U  137  97Y  2n 92 53 39 (A) E1 > E2 > E3 (B) E1 < E2 < E3 (C) E1 > E3 > E2 (D) E2 > E1 > E3 2. If the difference between the largest wavelength in ultraviolet region and visible region of the hydrogen spec- trum is 536.8 nm. Then the smallest wavelength in the infrared region of the hydrogen spectrum (to the nearest integer) is - (A) 802 nm (B) 823 nm (C) 1882 nm (D) 1648 nm 3. A circuit is connected as shown in figure with the switches S1 and S2 open. When the both switches are closed the total amount of charge that flows from y to x is - (A) 0 (B) 54 µC (C) 27 µC (D) 18 µC 4. A ray of light travelling in water is incident on its surface open to air. The angle of incidence is , which is less than the critical angle. Intensity of incident ray is  and Intensity of ray in air (after refraction) is  then choose correct option - (A)  >  , because speed of light ray is higher in air compare to water. (B)  =  because frequency of light ray does not change due to refraction. (C)  >  (D)  >  5. A hollow conducting sphere is kept concentrically inside another hollow conducting sphere of larger radius. Three switches S1 , S2, S3 are attach to system as shown in the figure. Initially charge at each sphere is q0 and all switches are opened. Then the potential difference between the two spheres has non-zero value when- (A) S1 and S3 are opened , S2 is closed (B) S1 and S2 are opened , S3 is closed (C) S2 is opened , S1 and S3 are closed (D) All S1 , S2 and S3 are closed 6. Consider a neutral conducting sphere with a non uniform cavity. Apositive point charge and a negative point charge are placed rspectively at outside the sphere and centre of the sphere. Then net charge on the sphere is (magnitude of both charges is same) (A) Negative and distributed uniform over the surface of the sphere. (B) Negative and appears only at the point on the sphere closest to the point charge. (C) Negative and distributed non uniformly over the entire surface of the sphere (D) zero 7. In an experiment to determine the focal length (f) of a concave mirror by the u-v method, a student places the object pin A on the principal axis at a distance x from the pole P. The student looks at the pin and its inverted image from a distance keeping his/her eye in line with PA. When the student shifts his/her eye towards left, the image appears to the left of the object pin. Then - (A) x < f (B) f < x < 2f (C) x = 2f (D) x > 2f 8. Two particles of mass m each and a particle of mass 2m are tied from a light string of length 2a. Both of mass m are tied at the ends of the string and third particle is tied at the middle of string. The whole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a distance ‘a’ from the center P (as shown in figure). Now the particle at mid point of the string is pulled horizontally with a small but constant force F. As a result the particles at end of string move towards each other on the surface. The magni tude of acceleration, when the separation between them becomes 2x is - F x (A) 2m . (B) F . 2m x (C) F . 2m d2 (D) F . 2m x2 9. A resistance of 2 is connected across one gap of a metre-bridge (the length of the wire is 100 cm) and an unknown resistance having value not less than 2, is connected across the other gap. When a resistance of 1 is attach with unknown resistance in series, the balance point shifts by 10 cm. Neglecting any correc- tions, the unknown resistance is - (A) 3  (B) 2 (C) 4  (D) 6  SECTION - II Assertion and Reason Type This section contains 4 questions numbered 10 to 13. Each question contains Statement-1 (Assertion) and Statement-2 (Reason). Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. 10. Statement 1 : A block of mass m start sliding down from point A on a rough inclined surface AB of inclination of angle 60°. After point B block slide down on rough inclined surface BC at inclination of angle 30° and having same roughness as surface AB. If velocity of block just after point B is v0 then retardation of block on second inclined is higher than that in on the first inclined. Statement 2 : The coefficient of friction between the blocks and the surface decreases with the increases in the angle of inclination - (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True. 11. Statement 1 : In an elastic collision between two bodies, the speeds of the bodies after collision is equal to the speed before the collision. Statement 2 : In an elastic collision, the total energy of the system is conserved. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True. 12. Statement -1 : The formula connecting u, v and f for the spherical mirror is valid only for para-axial rays. Statement - 2 : Laws of reflection are strictly valid for para-axial rays. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True. 13. Statement 1 : If the accelerating potential in a x-ray tube is increased, the cut-off wavelength of x-rays coming from a Coolidge tube does not change. Statement 2 : If the potential difference applied to a x-ray tube is increased, the intensity of emitted radiation remains unchanged. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True. SECTION - III Linked Comprehension Type This section contains 2 paragraphs C14 - 16 and C17 - 19. Based upon each paragraph, 3 multiple choice questions have to be answered. Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. C14-16 : Paragraph for Question Nos. 14 to 16 Two disc A and B of same material and thickness are mounted co-axially on a vertical axle. The disc have radius R and 2R respectively. Disc A is imparted an initial angular velocity  using a angular impulse of magnitude L. Disc B is imparted an angular velocity  using same angular impulse of magnitude L. Both the disc rotate in the clockwise direction and mass of disc A is m. 14. The ratio of  / is - 1 2 (A) 4 (B) 1/2 (C) 2 (D) 1/4 15. When disc B is brought in contact with disc A. They acquire a common angular velocity  in time t. The average frictional torque on one disc by the other during this period is - 5L (A) 4t 5L (B) 3t 3L (C) 5t 4L (D) 5t 16. The loss of kinetic energy during the above process is - 5L2 9L2 (A) 20mR2 7L2 (B) 20mR2 3L2 (C) 20mR2 (D) 4mR2 Paragraph for Questions 17 - 19 A fixed thermally conducting cylinder has a radius R and height L0. The cylinder is open at its bottom and has a small hole A and L height from bottom. A piston of mass M is held at a distance 2L from the bottom surface, as shown in the figure. The atmospheric pressure is P0 - 2R L L0 Piston 17. When the piston is release from the initial position then the pressure in the cylinder will be - (A) P0/2 (B) P0 (C) P0  2 Mg R2 (D) P0 – 2 Mg R2 18. Now the hole is sealed and the piston is released from the initial position, find the distance of the piston from the bottom at which Net force on the piston become zero. Assume all processes to be isothermal -  2P0 R2   P0 R2  Mg  P0 R2  Mg   P0 R2  (A)  2 (L) (B)  (L) (C)  (L) (D)  2  (L)  R P0  Mg   R P0   R P0   R P0  Mg          19. Now the cylinder is inverted and when the piston is at distance L0 from the bottom the hole A is sealed and whole assembly is kept inside the water tank at height 2L0 as shown in the figure. Assume surface height of water in tank does not change and the density of the water in  . In equilibrium, the height H of water column in the cylinder satisfies. Assume all process is isothermal - (A) P + (L + H) g + (C) P + (L + H) g – Mg R2 Mg R2 P0L0 = (L0  H) P0L0 = (L0  H) (B) P + (L + H) g – (D) P + (L – H) g + Mg R2 Mg R2 P0L0 = (L0  H) P0L0 = (L0  H) SECTION - IV Matrix-Match Type This section contains 3 questions numbered 20 to 22 . Each question has four statements (A, B, C and D) given in Column-I and four statements (p,q,r and s) in Column-II. Any given statement in Column-I can have correct matching with ONE OR MORE statement(s) in Column-II. The answers to these questions have to be appropriately marked as illustrated in the following example. If the correct matches are A-p, A-r, B- p, B-s, C-r, C-s and D-q then the answer should be written as : A  p,r ; B p, s ; C  r, s ; D  q. 20. Some laws / processes are given in column - I. Match them with physical phenomena given in column II. Column Ι Column ΙΙ (A) Mosley's law (p) Characteristic X - rays (B) Law of Radioactive Decay (q) Hydrogen Spectrum (C) Quantum Mechanics (r)  - decays (D) Transition between two atomic energy levels (s) Nuclear fusion 21. Column I gives certain situations in which a straight metallic wire of resistance R is used and column II given some resulting effect. Match the statements in column I with the statement in Column II. Column I Column II (A) A fully discharged capacitor and a battery of (p) A Constant current flows through the wire. constant Emf is connected to the end of the wire. (B) The wire is rotate about one end (q) Thermal energy is generated in the wire. of it's length with constant angular velocity in a uniform magnetic field perpendicular to the plane of motion. (C) The wire is bent into a semi circular ring and (r) A constant potential difference develops be tween placed in a constant electric field with it's the ends of the wire. diameter perpendicular to electric field. (D) A A.C. current source is connected to (s) Charge of constant magnitude appear at the ends the end of the wire of the wire. 22. Some physical quantities are given in column I and some possible SI units in which these quantities may be expressed are given in column II. Match the physical quantities in column I with the units in column II. Column I Column II (A) 1 0E2 2  = Permitivity of free space E = Electric field (p) (Kilogram) (Meter) (Second)–2 nRT (B) V n = number of Mole R = Gas constant T = Absolute Temperature V = Volume (q) (Kilogram) (Meter) (Kelvin) (C) mb (r) (Kilogram) (Meter)–1 (Second)–2 m = mass b = Wein's constant (D)  L2tT (s) (Kilogram) (Meter) (Second)–1 (Kelvin)  = Coefficent of viscosity L = Length t = time T = Absolute temperature PAPER - 2 Time : 1.00 Hr Max. Marks : 81 GENERAL INSTRUCTIONS 1. There are 22 questions in this paper. 2. For each question in Section I , you will be awarded 3 Marks if you give the correct answer and zero Mark if no answer is given. In all other cases, minus one (–1) Mark will be awarded. 3. For each question in Section II , you will be awarded 3 Marks if you give the correct answer and zero Mark if no answer is given. In all other cases, minus one (–1) Mark will be awarded. 4. For each question in Section III, you will be awarded 4 Marks if you give the correct answer and zero Mark if no answer is given. In all other cases, minus one (–1) Mark will be awarded. 5. For each question in Section IV, you will be awarded 6 Marks if ALL the answers are correctly given. No negative Mark will be awarded for an incorrect answer. SECTION - I Straight Objective Type This section contains 9 multiple choice questions numbered 1 to 9. Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. 1. A small object of uniform density rolls down a curved surface with an initial velocity zero from height h. It reaches up to a maximum height of h/2 on second curved surface (which is smooth) the object is Smooth B (A) Ring (B) Solid sphere (C) hollow spare (D) disc 2. A spherical portion has been removed from a solid sphere having a positive charge distributed uniformly in its volume as shown in figure. An electron is kept at point A. If electron is released from point A, it will go along path - (A) AB (B) AC (C) ADC (D) don’t move 3. A student performs an experiment to determine the value of g by simple pendulum method In a particu- lar reading. The student measures the length of simple pendulum to be 1 meter with an uncertainty of  0.02 m. The student also measure the time period of S.H.M. of simple pendulum to be 2 sec with an uncertainty of  0.02 sec. The value of g obtained from this reading is - (A) 2 (1  .04) (B) 2 (1  .03) (C) 2 (1  .02) (D) 2 (1  .01) 4. A magnetic field exists in the region according to different relations.  B = BO ˆi O < x < a   = B ˆ a < x < 2a and = – B ˆj 2a < x < 3a B O j B O Where BO is a positive constant. A positive point charge moving with a velocity  = VO ˆi where VO is a positive constant enters the magnetic field at Co–ordinate (0, 0, a). The trajectory of charge in this region can be like (mass of particle is such that it radius in any given region is greater than a). Z (A) x (B) x (C) x (D) x 5. In the experiment to determine the speed of sound using a resonance column. (A) Prongs of the tuning fork, vibrate parallel to the length of the tube. (B) Prongs of the tuning fork vibrate perpendicular to the length of the tube. (C) In one of the two resonances observed the length of the resonating air column is close to the wavelength of sound in air. (D) Pressure antinode is formed near the open end. 6. Two electrons with de-Broglie wavelength  and 2 respectively fall on the target in an x - ray tube. The ratio of their cut off wavelength of the emitted x rays is (A) 4 : 1 (B) 1 : 2 (C) 2 : 1 (D) 1 : 4 7. A particle moves in the x-y plane under the influence of a force such that its linear momentum is → = A [2 sin (2t) ˆ – cos (2t) ˆ ], where A is constant. Time at which the angle between the force and p(t) i j the momentum become 90º is -  (A) t = 4  (B) t = 8 3  (C) t = 8  (D) 6 8. A positive charge +q is distributed over a hollow conducting sphere. The work done by the electric field where another positive point charge +q is moved from point A to point B.  1 1 1 1  (A) kq2 R – r  (B) kq2 r – R  (C) kq2 R (D) zero 9. Water is filled up to a height 2h in a beaker of radius R as shown in the figure. The density of water  . The surface tension of water is T and the atmospheric pressure is PO. consider a vertical section ABCD of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude. (A) | 2P Rh +  r2  hg – 2TR| (B) | 2P Rh + R  hg2 – 2TR| O O (C) | 2P Rh + 3  hg3R – 2TR| (D) | 2P Rh + 3R h2g| O O SECTION - II Assertion and Reason Type This section contains 4 questions numbered 10 to 13. Each question contains Statement-1 (Assertion) and Statement-2 (Reason). Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. 10. Statement-1 : The total translational kinetic energy of all the molecules of an ideal gas is equal to 1.5 times the product of its pressure and its volume, and remain constant if product of pressure and volume is constant Statement-2 : The total translational kinetic energy of all the molecules of an ideal gas is only dependent on 1 absolute temperature of an ideal gas and total translational kinetic energy equal to 2 [ where Vrms = RMS speed of molecules] MV2 rms (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True. 11. Statement-1 : A vertical smooth iron has a coil of wire wound over it at the top. An alternating current flows in the coil. The rod goes through a conducting ring as shown in the figure. The ring move with acceleration greater than “g”. Statement-2 : In the above situation, a current is induced in the ring which interacts with the horizontal component of the magnetic field to produce an average force in the downward direction. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True. 12. Statement-1 : A coin is placed on a card and card is placed on a glass as shown in the figure. The card can be pulled such that coin fall in the glass. Statement-2 : for every action there is an equal and opposite reaction Card (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is not a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True. 13. Statement-1 : If there is no external force on a body then the angular velocity of the body remain constant Statement-2 : If net torque about centre of mass is zero than angular momentum of body about centre of mass remains constant. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (B) Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1 (C) Statement-1 is True, Statement-2 is False (D) Statement-1 is False, Statement-2 is True. SECTION - III Linked Comprehension Type This section contains 2 paragraphs C14 - 16 and C17 - 19. Based upon each paragraph, 3 multiple choice questions have to be answered. Each question has 4 choices (A), (B), (C) and (D) out of which ONLY ONE is correct. C14-16 : Paragraph for Question Nos. 14 to 16 Two trains A and B are moving with speeds 20m/s and 30m/s respectively in opposite direction on parallel straight tracks. The engines are at the front ends. The engine of train A blows a long whistle. Two passenger P and Q are in train A and B respectively p and q are moving with speed 10m/s in the same direction of their respective train Assume that the sound of the whistle is composed of components varying in frequency from f1 = 800 Hz to f2 = 1120 Hz, as shown in figure. The spread in the frequency (highest frequency - lowest frequency) is thus 320 Hz. The speed of sound in still air is 340m/s 14. The speed of sound of the whistle is (A) 360 m/s for passenger P and 370 m/s for passenger Q (B) 370 m/s for passenger P and 380 m/s for passenger Q (C) 360 m/s for passenger P and 380 m/s for passenger Q (D) 370 m/s for passenger P and 370 m/s for passenger Q 15. The distribution of the sound intensity of the whistle as observed by the passenger P in train A is best represented by (A) (B) (C) (D) 16. The speed of frequency as observed by the passenger Q in the train B is (A) 310 Hz (B) 300 Hz (C) 350 Hz (D) 290 Hz C17-19 : Paragraph for Question Nos. 17 to 19 The figure shows surface xy separating two transparent media, medium-1 and medium-2. The lines ab and cd represent wavefronts of a light wave travelling in medium-1 and incident on xy. The curved lines ef and gh repre sent wavefronts of the light wave in medium-2 after refraction. 17. Light travels as a (A) Parallel beam in each medium (B) Convergent beam in medium-2 and parallel beam in medium-1 (C) Divergent beam in medium-2 and parallel beam in medium-1 (D) Convergent in medium-2 and divergent beam in medium-1 18. The phase of the light wave at c,d,e and f are  ,  ,  ,  and , respectively It is given that  , = 2 c d e f c f (A)  cannot be equal to  (B)  can be equal to  c d d e (C) ( – ) is equal to ( –  ) (D) ( –  ) is not equal of ( –  ) d f c e d c f e 19. Speed of light is (A) The same in medium-1 and medium-2 (B) larger in medium-1 than in medium-2 (C) larger in medium-2 than in medium-1 (D) different at b and d SECTION - IV Matrix-Match Type This section contains 3 questions numbered 20 to 22. Each question has four statements (A, B, C and D) given in Column-I and four statements (p,q,r and s) in Column-II. Any given statement in Column-I can have correct matching with ONE OR MORE statement(s) in Column-II. The answers to these questions have to be appropriately marked as illustrated in the following example. If the correct matches are A-p, A-r, B- p, B-s, C-r, C-s and D-q then the answer should be written as : A  p,r ; B p, s ; C  r, s ; D  q. 20. Column  describes some situations in which a small object moves. Column  describe some characteristics of these motions. Match the situations in Column  with the characteristics in Column  Column I Column II (A) The object moves on the x-axis under (p) The object executes a simple harmonic motion a conservative force in such way that it`s “speed” and “Position” Satisfy v = c1 . Where c1 and c2 are positive constants (B) A particle moves in x-y plane such that (q) Path of the object is a straight line x = A cos wt and y = 3 A cos wt The motion of Particle is (C) An object is attached to one end of mass (r) The kinetic energy of the object keeps on increasing less string. The other end of the string is attached to the ceiling of a car. Initially every thing is at rest. The car starts going horizontally with a constant acceleration. The motion of object is observed from the car during the period car maintain the constant acceleration (D) A particle moves in circular path with a (s) The object executes a periodic motion continuously increasing speed. 21 Two wires each carrying a steady current  are shown in four configurations in column I. Some of the resulting effects are describes in Column . Match the statements in Column  with the statements in Column  Column I Column II (A) Point P is Situated symmetrically (p) The magnetic field (B) at P due to the currents in the between the wires wires are in the same direction (B) Point P is situated at the mid-point (q) The magnetic field (B) at P due to the currents in the of the line joining the centres of circular wires are in opposite directions wires which have different radius (C) Point P is Situated at the mid Point of (r) There is no magnetic field at P the line joining the focus of the two parabolic wires (D) Point P is situated symmetrically between (s) The wire repel each other the wires 22. Column I gives some devices and Column II gives some processes on which the functioning of these devices depend. Match the entries is column I with those in column II Column I Column II (A) Bolometer (p) Temperature difference (B) Internal combustion engine (q) Thermal expansion of solid (C) Bimetallic strip (r) Radiation (D) Incandescent lamp (s) Energy conversion A nswers PAPER - 1 1. (D) 2. (B) 3. (D) 4. (C) 5. (A) 6. (D) 7. (D) 8. (C) 9. (B) 10. (C) 11. (D) 12. (C) 13. (D) 14. (A) 15. (C) 16. (B) 17. (B) 18. (D) 19. (A) 20. (A)  (p) ; (B)  (r,s) ; (C)  (q,p) ; (D)  (p,q) 21. (A)  (q) ; (B)  (r,s) ; (C)  (s) ; (D)  (q) 22. (A)  (r) ; (B)  (r) ; (C)  (q) ; (D)  (q) PAPER - 2 1. (A) 2. (A) 3. (B) 4. (A) 5. (A) 6. (D) 7. (A) 8. (D) 9. (D) 10. (A) 11. (A) 12. (B) 13. (D) 14. (B) 15. (C) 16. (B) 17. (C) 18. (C) 19. (C) 20. (A)  (p,q s) ; (B)  (p,q,s) ; (C)  (p, s) ; (D)  (r) 21 (A)  (q, r) ; (B)  (p) ; (C)  (p) ; (D)  (q, r) 22. (A)  (r, p) ; (B)  (s) ; (C)  (s, p) ; (D)  (p, r, s)