Title AITS 04 MORNING SHIFT.pdf ✅

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SPACE FOR ROUGH WORK [2] SECTION-I (PHYSICS) SECTION - A 1. In a stationary wave system, all the particles of the medium (1) Have zero displacement simultaneously at some instant (2) Have maximum displacement simultaneously at some instant (3) Are at rest simultaneously at some instant (4) All of the above 2. A transverse wave described by an equation y = 0.02 sin (x + 30t), where x and t are in metre and second, is travelling along a wire of area of cross-section 1 mm2 and density 8000 kgm–3 . What is the tension in the string? (1) 20 N (2) 7.2 N (3) 30 N (4) 14.4 N 3. Equation of progressive wave is given by 4sin 5 9 6      =  − +         t x y , where x and y are in metre. Then, (1) v = 5 m/s (2)  = 18 m (3) A = 0.04 m (4) f = 50 Hz 4. The angle between wave velocity and particle velocity in a travelling wave may be (1) Zero (2) 2  (3)  (4) All of these 5. A particle is executing SHM of amplitude 4 cm and time period 4 s. The time taken by it to move from positive extreme position to half the amplitude is (1) 1 s (2) 1 s 3 (3) 2 s 3 (4) 2 s 3 6. A simple harmonic oscillator has a period of 0.01 s and an amplitude of 0.2 m. The magnitude of the velocity in ms–1 at the mean position will be (1) 20 (2) 100 (3) 40 (4) 100 7. A body of mass 5 g is executing SHM about a point with amplitude 10 cm. Its maximum velocity is 100 cm/s. Its velocity will be 50 cm/s at a distance of (1) 5 cm (2) 5 2 cm (3) 5 3 cm (4) 10 2 cm 8. A simple pendulum performs simple harmonic motion about X = 0 with an amplitude A and time period T. The speed of the pendulum at 2 = A X will be (1) A 3 T (2) A T (3) 3 2 A T (4) 2 3 A T
SPACE FOR ROUGH WORK [3] 9. The potential energy of a particle executing SHM changes from maximum to minimum in 5 s. Then the time period of SHM is (1) 5 s (2) 10 s (3) 15 s (4) 20 s 10. A mass m is suspended by means of two coiled spring which have the same length in unstretched condition as shown in figure. Their force constants are k1 and k2, respectively. When set into vertical vibrations, the period will be (1) 1 2 2        m k k (2) 1 2 2        k m k (3) 1 2 2        − m k k (4) 1 2 2        + m k k 11. A lift is ascending with acceleration 3 g . What will be the time period of a simple pendulum suspended from its ceiling if its time period in stationary lift is T? (1) 2 T (2) 3 2 T (3) 3 4 T (4) 4 T 12. A gas follows VT2 = constant. Its volume expansion coefficient will be (1) 2 T (2) 2 − T (3) 3 T (4) 3 − T 13. At what temperature the rms velocity of a hydrogen molecule equal to that of an oxygen molecule at 47°C? (1) 80 K (2) –73 K (3) 3 K (4) 20 K 14. 1 mole of a gas having 7 5 = is mixed with 1 mole of a gas having 4 3 = . What will be the  of the mixture? (1) 5 11 (2) 15 13 (3) 15 11 (4) 5 13