Tiêu đề 9 JUNE PAPER.pdf ✅

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PHYSICS 1. A spherical ball is moving through a viscous medium. If the viscous force acting on the ball is proportional to speed of the ball, then the dimensions of proportionality constant is (A) [ML–1T –1 ] (B) [ML–2T –1 ] (C) [MLT–2 ] (D) [ML0T –1 ] 2. If error in measurement of length of a simple pendulum is 3% and in time period is 1.5%, then percentage error in the calculation of acceleration due to gravity by this pendulum is (A) 4.5 % (B) 6% (C) 9% (D) 7.5% 3. Two masses are connected by an ideal spring as shown in the figure. When acceleration of 4 kg mass is 6 m/s2 towards right, the acceleration of 6 kg mass at the same instant is (A) 2.33 m/s2 towards right (B) 2.33 m/s2 towards left (C) 1.7 m/s2 towards right (D) 1.7 ms/2 towards left 4. A wave travelling in a stretched string is given by y = Asin (kx – t). The ratio of maximum velocity of particle to the wave velocity is (A) A (B) A k  (C) k (D) Ak 5. An observer moves towards a stationary sources of sound, with a velocity one-fifth of the velocity of sound. What is the percentage increase in the apparent frequency: (A) 5% (B) 20% (C) zero (D) 0.5% 6. Two coherent sources of different intensities send waves which interfere. The ratio of the maximum intensity to the minimum intensity is 25. The intensities are in the ratio: (A) 25:1 (B) 5 : 1 (C) 9 : 4 (D) 625 : 1 7. In an experiment expression of plank’s constant is given as h = 3 A  where  is wavelength then find dimension of constant ‘A’. (A) ML2T +1 (B) ML–1T –1 (C) M–1L 1T 1 (D) M–1L –5T +2 8. If the unit of force is 10N, the unit of acceleration 2m/s2 and unit of velocity is 5m/s then unit of momentum is (A) 25 kgm/s (B) 40 kgm/s (C) 2 kgm/s (D) 10 kgm/s 9. Area of square park is (400 ± 4) m2 then side Length of park will be– (A) (20 ± 2) m (B) (20 ± 4) m (C) (20 ± 1) m (D) (20 ± 0.1)m 10. If the percentage errors in the measurement of physical quantities A, B and C are a, b and c respectively, then total percentage error in the product ABC is (A) abc (B) a + b + c (C) ab + bc + ac (D) a b c b c a   11. A force is given as F = 2 2 v cos         where F is force, v is velocity, then dimensional formula of  2 –2 is: (A) MLT–2 (B) M2L 2T –2 (C) M2L 2T –4 (D) ML 2T –2 12. Find the temperature of junction at B, if each rod has equal area of cross-section (A) 90 oC 7 (B) 50 oC 7 (C) 380 oC 7 (D) 280 oC 5 PW-AITS_NT-06
13. Variation of density of water with temperature and corresponding variation on its volume is as shown. (A) Both graphs have been correctly plotted (B) Both graphs have been incorrectly plotted (C) Only variation of density is plotted correctly (D) Only variation of volume is plotted correctly 14. When a gas is taken from process abc 100 J of heat is absorbed by system and 50J of work is done by it. If work done in process adc is 60J, then heat absorbed in this process (A) 200J (B) 250J (C) 110 J (D) 90 J 15. Acceleration due to gravity at surface of a planet is equal to that at the surface of earth and the density is 1.5 times that of the earth. If radius of earth is R, radius of planet is (A) 3 R 2 (B) 2 R 3 (C) 9 R 4 (D) 4 R 9 16. Let escape velocity of a body kept at surface of a planet is u. If it is projected at a speed of 200% more than the escape speed, then its speed in the interstellar space will be (A) u (B) 3u (C) 2u (D) 2 2u 17. Mark the correct statement (i) Escape velocity does not depend on mass of body (ii) If total energy of a satellite becomes positive, it escapes from earth (iii) Orbit of geostationary orbit is called parking orbit (A) (i) Only (B) (i), (ii) only (C) (i), (ii) and (iii) (D) (i), (iii) only 18. The total mechanical energy of an object of mass m projected from surface of earth with escape speed is (A) Zero (B) Infinite (C) GMm 2R  (D) GMm 3R  19. If M is mass of a planet and R is its radius, then in order to become black hole [c is speed of light] (A) GM c R  (B) GM c 2R  (C) 2GM c R  (D) 2GM c R  20. A heavy sphere is suspended as shown in figure. If sudden jerk is applied on free end of string then string will break: (A) A (B) B (C) C (D) All of these 21. A car is moving in a horizontal level circular track with uniform speed v. If R is the radius of circular path, then the minimum coefficient of friction to avoid turning is (A) 2 v Rg (B) v Rg (C) v Rg (D) Rg v 22. Which graph is practically possible: (A) (B) (C) (D) 23. A particle starting from rest with constant acceleration travels a distance x in first 2s and a distance y in next 2s, then (A) y = x (B) y = 2x (C) y = 3x (D) y = 4x
24. Two projectiles are projected with the same velocity. If one is projected at an angle of 30o and the other at 60o to the horizontal, then the ratio of maximum heights reached is: (A) 3 : 1 (B) 1 : 3 (C) 1 : 2 (D) 2 : 1 25. Object starts motion on a track as shown in figure then find displacement between ‘A’ and ‘B’. (A) 4m (B) 8 2 m (C) 4 2 m (D) 2 2 m 26. A sound source is moving towards a stationary observer with (1/10) of the speed of sound. The ratio of apparent to real frequency is (A) 10 9 (B) 11 10 (C) 2 11 10       (D) 2 9 10       27. A wave is represented by x = 4 cos x 8t 2        , where x and y are in metre and t in second. The frequency of the wave (in S–1 ) is (A) 4  (B) 8  (C) 2  (D) 4  28. The plot of velocity (v) versus displacement (X) of a particle executing simple harmonic motion is shown in figure. The time period of oscillation of particle is (A) S 2  (B) S (C) 2S (D) 3S 29. A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at x = a 2 will be (A) a T  (B) 2 3 a T  (C) a 3 T  (D) a 3 2T  30. Two wires are made of the same material and have the same volume. The first wire has cross- sectional area A and the second wire has cross- sectional area 3A. If the length of the first wire is increased by l on applying a force F, how much force is needed to stretch the second wire by the same amount? (A) 9F (B) 6F (C) 4F (D) F 31. The bulk modulus of a spherical object is ‘B’. If it is subjected to uniform pressure ‘P’, the fractional decrease in radius is (A) B 3P (B) 3P B (C) P 3B (D) P B 32. A car of mass m starts from rest and accelerated so that the instantaneous power delivered to the car has a constant magnitude P0. The instantaneous velocity of this car is proportional to (A) t 2P0 (B) 1/2 t (C) t –1/2 (D) t m 33. The speed of a homogenous solid sphere after rolling down an inclined plane of vertical height h from rest without sliding is (A) 10 gh 7 (B) gh (C) 6 gh 5 (D) 4 gh 3 34. The magnitudes of vectors A, B and C are respectively 12, 5 and 13 units and A B C   . The angle between A and B is (A) zero (B)  (C) 2  (D) 4  35. A particle of mass M is moving in a horizontal circle or radius R with uniform speed V. When it moves from one point to a diametrically opposite point, its (A) kinetic energy changes by MV2 /4 (B) momentum does not change (C) momentum changes by 2 MV (D) kinetic energy changes by MV2