13.Combine Test-2 (Paper-2)

COMBINED TEST - 2 (CT-2) PAPER-2 Duration : 3 Hours Max. Marks : 180 GENERAL INSTRUCTIONS 1. The question paper consists of three parts (Physics, Chemistry and Mathematics). Each part consists of three sections and total number of questions are 60. Marking Scheme 2. In Section 1 (Total Marks: 24), for each question 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. In Section 2 (Total Marks: 24) and 3 (Total Marks: 12), for each question 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. SECTION – 1 (One or more options correct Type) This section contains 8 multiple coice questions. Each question has four choices (A), (B), (C) and (D) out of which ONE or MORE are correct. 1. * A proton and an electron are moving with the same de–Broglie wavelength (consider the non–relativistic case). Then : (A) in a magnetic field both the particles describe circles of same radius (B) both the particles have the same momentum (C) the speed of the proton and the electron are in the ratio me / m, where me is the electron mass and m, the proton mass (D) the product of mass and kinetic energy is the same for both particles 2. An object AB is placed parallel and close to the optical axis between focus F and centre of curvature C of a converging mirror of focal length f as shown in figure. (A) Image of A will be closer than that of B from the mirror. (B) Image of AB will be parallel to the optical axis. (C) Image of AB will be straight line inclined to the optical axis. (D) Image of AB will not be straight line. 3. Figure shows a long conducting rod AB which can more on fixed smooth rails. A uniform magnetic field of magnitude T exists perpendicular to the plane of paper and directed inwards. Initially the long conducting rod AB is at the corner P (x = 0) of long conducting rails at rest. If the rod is moved towards right side with a constant acceleration the correct option/options. m/s2 then, select 1 (A) Ratio of induced emf at t = 1 and t = 10 is 1000 . (B) Magnetic flux through the loop is proportional to square of time. (C) Magnetic flux through the loop is proportional to fourth power of time. (D) At t = 2 sec induced emf is 24 volt. 4. Figure shows the path of an electron in a region of uniform magnetic field. The path consists of two straight sections, each between a pair of uniformly charged plates, and two half circles. The electric field exists only between the plates.   Pair-A   Pair-B (A) Plate I of pair A is at higher potential than plate-II of the same pair. (B) Plate I of pair B is at higher potential than plate II of the same pair. (C) Direction of the magnetic field is out of the page [ ]. (D) Direction of the magnetic field in to the page [ ]. 5. Consider a gaussian spherical surface, covering a dipole of charge q and – q, then (A) qin = 0 (Net charge enclosed by the spherical surface) (B)  = 0 (Net flux coming out the spherical surface) → → → (C) E.ds  0 (Surface integral of E over the spherical surface) (D) E = 0 at all points on the spherical surface 6. A smooth hemisphere of mass m and radius R is at rest. A smooth solid sphere of mass 2m and radius R moving with velocity V0 between two horizontal smooth surfaces separated by a distance slightly greater than 2R as shown in figure. Solid sphere collides with the hemisphere. If coefficient of restitution is 1 , then 2 (A) The speed of hemisphere after collision is V0 (B) The speed of solid sphere after collision is (C) The loss in kinetic energy of the system is V0 2 1 mV 2 4 0 (D) The final kinetic energy of hemisphere is 1 th the initial kinetic energy of sphere 4 7. The speed of a small object undergoing uniform circular motion is 4 m/s. The magnitude of the change in the velocity during 0.5 seconds is also 4 m/s. 2 8 (A) the angular speed of object is 3 rad/sec. (B) the centripetal acceleration of the object is 3 m/s2 6 3 (C) the radius of the circle is  metre. (D) the radius of circle is metre. 8. Resonance occurs in a series L–C–R circuit when the frequency of the applied emf is 1000 Hz. Then (A) When f = 900 Hz, the circuit behaves as a capacitative (B) The impedance of the circuit is maximum at f = 1000 Hz. (C) At resonance the voltage across L and voltage across C difference in phase by 180° (D) If the value of C is doubled resonance occurs at f = 2000 Hz. SECTION – 2 : (Paragraph Type) This section contains 4 paragraphs each describing theory, experiment, data etc. Eight questions relate to four paragraphs with two questions on each paragraph. Each question of a paragraph has only one correct answer among the four choices (A), (B), (C) and (D). Paragraph for Question Nos. 9 to 10 A steady current 4 A flows in an inductor coil when connected to a 12 V dc source as shown in figure 1. If the same coil is connected to an ac source of 12 V, 50 rad/s, a current of 2.4 A flows in the circuit as shown in figure 2. 9. The inductance of the coil is nearly equal to (A) 0.01 H (B) 0.02 H (C) 0.04 H (D) 0.08 H 10. The resistance of the coil is : (A) 1  (B) 2  (C) 3  (D) 4  Paragraph for Question Nos. 11 to 12 In the circuit shown below, the internal resistance of the cell is negligible. The distance of the slider from the left-hand end of the slide wire is 𝑙. The graph shows the variation with 𝑙 of the current  in the cell. (ammeter resistance  0 ) – + 6.00 V d.c. 100 cm 𝑙 R Cell Slider 100 cm slider wire  Centre zero milliammeter 11. The balance point is at length l that is equal to (A) 0 cm (B) 20 cm (C) 30 cm (D) 40 cm 12. E.M.F. of the cell is : (A) 0.98 V (B) 1.20 V (C) 1.86 V (D) 2.00 V Paragraph for Question Nos. 13 to 14 The collecter of the photocell (in photoelectric experiment) is made of tungsten while the emitter is of Platinum having work function of 10 eV. Monochromotic radiation of wavelength 124 Å & power 100 watt is incident on emitter which emits photo electrons with a quantum efficiency of 1%. The accelerating voltage across the photocell is of 10,000 volts (Use : hc = 12400eV Å and assume saturation photocurrent) 13. What is the power supplied by the accelerating voltage source. (A) 100 watt (B) 10 watt (C) 0.1 watt (D) 1 watt 14. The minimum wavelength of radiation coming from the tungsten target (collector) is - (A) 124 Å (B) 12.4 Å (C) 1.23 Å (D) 12.3 Å Paragraph for Question Nos. 15 to 16 A beam of atomic and subatomic particles is incident normally on a region of thickness d which contain a uniform field B. There is no field outside this region. The beam contain electrons, protons, neutrons and  (alpha) particles. 15. If each particle has same momentum initially and each particle emerges out in region III then the minimum value of this momentum is (e = electronic charge) - (A) eBd (B) eBd (C) 2eBd (D) zero 2 16. If each particle had same momentum initially and all particles except one type of particle return back to region I, then the maximum value of this momentum is - (A) eBd (B) eBd (C) 2eBd (D) zero 2 SECTION – 3 : (Matching List Type) This section contains 4 multiple choice questions. Each questions has matching lists. The codes for the lists have choices (A), (B), (C) and (D) out of which ONLY ONE is correct. 17 The circuit involves two ideal cells connected to a 1 F capacitor via a key K. Initially the key K is in position 1 and the capacitor is charged fully by 2V cell. The key is pushed to position 2. List  gives physical quantities involving the circuit after the key is pushed from position 1. List- II gives corresponding results. Match the statements in List  with the corresponding values in List  and indicate your answer by darkening appropriate bubbles in the 4 × 4 matrix given in the OMR. 1 2 List- Ι List- ΙΙ P. The net charge crossing the 4 volt cell in C is 1. 2 Q. The magnitude of work done by 4 Volt cell in J is 2. 6 R. The gain in potential energy of capacitor in J is 3. 8 S. The net heat produced in circuit in J is 4. 16 Codes : P Q R S (A) 1 3 2 1 (B) 1 2 3 1 (C) 1 3 2 4 (D) 2 3 2 4 18 Match the following : The following table gives the lengths of four copper rods at the same temperature, their diameters, and the potential differences between their ends. Rod Length Diameter Potential Difference 1 L 3d V 2 2L d 3V 3 3L 2d 2V 4 3L d V Correctly match the physical quantities mentioned in the left column with the rods as marked. List- I List- II P. Greatest Drift speed of the electrons. 1. Rod 1 Q. Greatest Current 2. Rod 2 R. Greatest rate of thermal energy produced 3. Rod 3 S. Greatest Electric field 4. Rod 4 Codes : P Q R S (A) 2 1 1 2 (B) 3 4 4 3 (C) 4 3 4 3 (D) 1 2 1 2 19. Match the following : Side P Side Q (P) Photoelectric effect 1. Photon (Q) Wave 2. Frequency (R) X rays 3. K capture (S) Nucleus 4.  rays Codes : P Q R S (A) 1 2 3 4 (B) 2 1 4 3 (C) 1 4 3 2 (D) 2 2 4 1 20. A particle is taken to a distance r (> R) from centre of the earth. R is radius of the earth. It is given → velocity V which is perpendicular to r . With the given values of V in column I you have to match the values of total energy of particle in column II . Here 'G' is the universal gravitational constant and 'M' is the mass of the earth. List I (Velocity) List II (Total energy) P. V = GM/ r 1. Negative Q. V = 2GM/ r 2. Positive R. V > 2GM/ r 3. Zero Codes : S. GM / r < V < 2GM/ r 4. Infinite P Q R S (A) 1 3 3 1 (B) 1 3 2 1 (C) 2 3 1 4 (D) 1 3 2 4