PRACTICE TEST-1-Paper - 2

PRACTICE TEST ONE 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. For each question in Section 1, you will be awarded 3 marks if you darken all the bubble(s) corresponding to only the correct answer(s) and zero mark if no bubbles are darkened. In all other cases, minus one (-1) mark will be awarded. 3. For each question in Section 2 and 3, you will be awarded 3 marks if you darken the bubble corresponding to only the correct answer and zero mark if no bubbles are darkened. In all other cases, minus one (–1) mark will be awarded. PART-A (PHYSICS) 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 fix planet is in the form of uniform circular ring of radius R. A cosmic particle is at the axis of the ring at an axial distance 'x'. It is held in equilibrium by applying a constant force F0. The equilibrium of the particle is (for displacements along the axis) : (A) stable if x > (B) unstable if x > (C) stable if x < (D) unstable if x < 2. A 20 gm particle is subjected to two simple harmonic motions x1 = 2 sin 10 t,  x2 = 4 sin (10 t + 3 ). where x1 & x2 are in metre & t is in sec. (A) The displacement of the particle at t = 0 will be 2 m. (B) Maximum speed of the particle will be 20 m/s. (C) Magnitude of maximum acceleration of the particle will be 200 (D) Energy of the resultant motion will be 28 J. m/s2. → ˆ 3. A charged particle is projected in magnetic field B = 10 k from origin in x-y plane. The particle moves in a circle and just touches a line y = 5 m at x = 5 3 m. Then (mass of particle = 5 × 10–5 kg , charge = 1µc) - (A) The particle is projected at an angle 60° with x-axis (B) The radius of circle is 10 m (C) speed of particle is 2m/s (D) workdone by magnetic force on the particle is zero. 4. In the figure shown an observer O1 floats (static) on water surface with ears in air while another observer O2 is moving upwards with constant velocity V1 = V/5 in water. The source moves down with constant velocity Vs = V/5 and emits sound of frequency 'f'. The velocity of sound in air is V and that in water is 4V. For the situation shown in figure : S 4V (A) The wavelength of the sound received by O1 is 5f (B) The wavelength of the sound received by O1 is V/f 21f (C) The frequency of the sound received by O2 is 16 16 V (D) The wavelength of the sound received by O2 is 5 f 5. If one of the slits of a standard Young's double slit experiment is covered by a thin parallel sided glass slab so that it transmits only one half the light intensity of the other, then: (A) The fringe pattern will get shifted towards the covered slit (B) The fringe pattern will get shifted away from the covered slit (C) The bright fringes will become less bright and the dark ones will become more bright (D) The fringe width will remain unchanged 6. Two point charges of equal magnitude (may be of same or different signs) are located with distance between them equal to a. P and Q are two points on the same side of the perpendicular bisector of the line joining the two charges, P being closer to the charges than Q. The electric fields at P and Q are equal in magnitude. Then, (A) Both charges are of the same sign. (B) The directions of electric fields at P and Q are same. (C) Moving from P towards Q, the magnitude of the field first increases and then decreases. (D) The distance of P from the line joining the charges is less than . 7. An ideal ga undergoes an expansion from a state with temperature T and volume V to V through three different polytropic processes A, B and C as shown in the P-V diagram. If E  , E  and A B E  be the magnitude of changes in internal energy along the three paths respectively, then : (A) E  < E  < E  if temperature in every process decreases A B C (B) E  > E  > E  if temperature in every process decreases A B C (C) E  > E  > E  if temperature in every process increases A B C (D) E  < E  < E  if temperature in every process increases B A C 8. An electron makes a transition from n = 2 to n = 1 state in a hydrogen like atom. (A) magnetic field at the site of nucleus is decreased by 16 times. (B) magnetic field at the site of nucleus is increased by 32 times (C) angular momentum of electron is changed (D) none of these 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 There is a light pan connected with a light spring of spring constant 1000 N/m and there are two blocks of mass 10 Kg and 30 Kg kept on it and the system is in equilibrium. The given system is shown in diagram. (Neglect any rotational effect) g = 10 m/sec2 9. If 10 Kg block is removed from the pan, then the maximum height raised by 30 Kg block will be (A) 20 cm (B) 40 cm (C) 60 cm (D) 30 cm 10. If 30 Kg block is removed instead of 10kg from the pan then maximum height raised by 10 Kg block will be (A) 40 cm (B) 60 cm (C) 80 cm (D) None of these Paragraph for Question Nos. 11 to 12 In a series L-R circuit, connected with a sinusoidal ac source, the maximum potential difference across L and R are respectively 3 volts and 4 volts. 11. At an instant the potential difference across resistor is 2 volts. The potential difference in volt, across the inductor at the same instant will be (A) 3 cos 30° (B) 3 cos 60° (C) 6 cos 45° (D) 6 12. At the same instant, the magnitude of the potential difference in volt, across the ac source will be (A) 3 cos 67° (B) 5 cos 83° (C) 6 cos 97° (D) 0 Paragraph for Question Nos. 13 to 14 Figure shows a conducting rod of negligible resistance that can slide on smooth U-shaped rail made of wire of resistance 1/m. Position of the conducting rod at t = 0 is shown. A time t dependent magnetic field B = 2t Tesla is switched on at t = 0. 𝑙= 40cm 13. The current in the loop at t = 0 due to induced emf is Conducting Rod (A) 0.16 A, clockwise (B) 0.08 A, clockwise (C) 0.08 A, anticlockwise (D) zero 14. At t = 0, when the magnetic field is switched on, the conducting rod is moved to the left at constant speed 5 cm/s by some external means. The rod moves perpendicular to the rails. At t = 2s, induced emf has magnitude. (A) 0.12 V (B) 0.08 V (C) 0.04 V (D) 0.02 V Paragraph for Question Nos. 15 to 16 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) Platinum radiation 124Å VA=10,000V Tungsten 15. What is the power supplied by the accelerating voltage source. (A) 100 watt (B) 10 watt (C) 0.1 watt (D) 1 watt 16. If the source of monochromatic radiation of wavelength 124 Å has an efficiency of 50%, and the power of X ray emitted by the tungsten target is 3W, the overall efficiency of the apparatus for X-ray production is (A) 1 % (B) 0.1% (C) 1.5% (D) 0.67% 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. In List - I Optical system are shown. List- 2 tells about optical events. Match the proper entries from List-2 to List-1 and select the correct answer using the code given below the List-1 List - I List - II (P) (1) Parallel beam of light which incidents from medium M-1 emerges out as converging in medium M-2 ' (Q) (2) Parallel beam of light which incidents from medium M-1 at angle i  0 emerges out as parallel beam in medium M-2, will have lesser diameter than the diameter of incident beam. (Assume No TIR) (R) (3) Parallel beam of light which incidents from medium M-1 emerges out as diverging in medium M-2. (S) (4) Parallel beam of light which incidents from medium M-1 at angle i  0 emerges out as parallel beam in medium M-2 will have larger diameter than the diameter of incident beam. (Assume No TIR) Codes : P Q R S (A) 3 4 1 2 (B) 3 4 2 1 (C) 4 3 1 2 (D) 4 3 2 1 18. Match List  with List  and select the correct answer using the codes given below the lists : List-I List-I Answer (P) Permittivity of the free space × electric field (1) [M° L1 T–1] (Q) Electrical conductivity (2) [M° L–2 T1 A1] (R) Viscous force (3) [M–1L–3T3A2] Electric field (S) Magnetic field (4) [M1L1T–2] Codes : P Q R S (A) 3 4 1 2 (B) 3 4 2 1 (C) 2 3 4 1 (D) 2 3 1 4 19. The figures given below in List-I show different processes (relating pressure P and volume V) for a given amount for an ideal gas. W is work done by the gas and Q is heat absorbed by the gas. If the process is cyclic then these quantities are for complete cycle. In List -II various value of W, U,Q are given. Match the proper enteries form List-II to List-I and select the correct answer using the codes given below the List. List-I List-II Answer P (P) P (Q) 1/V (1) W < 0. (2) Q > 0 & Q = W. P (R) V P (3) U < 0 (S) Codes : V P Q R S (4) U > 0 (A) 2 3 4 1 (B) 2 4 3 1 (C) 4 3 1 2 (D) 4 2 3 1 20. In the following question x (an unstable nucleus) decays to another nucleus y. In column I different type of decay processes are mentioned. Atomic mass of element of nucleus x and element of nucleus y are Mx and My respectively. The atomic mass of He is MHe. The mass of electron is me. Now match the entries from List II to List I and select the correct answer using the codes given below the List. List- I (Decay process) List- II (Mass defect) (P) x  y +  (1) Mx – My – MHe – 2me (Q) x  y +  ++1e0 +  (R) x  y ++1e0 +  (S) x + –1e0  y +  +X- rays (2) Mx – My – MHe (3) Mx – My – 2me (4) Mx – My A nswers 1. (B,C) 2. (A,B,C,D) 3. (A,B,C,D) 4. (A,C,D) 4. (A,C,D) 6. (A,B,C,D)7. (A,C) 8. (B,C) 9. (A) 10. (B) 11. (A) 12. (B) 13. (A) 14. (B) 15. (A) 16. (A) 17. (B) 18. (C) 19. (A) 20. (B)