OSCILLATION
1. All other factors remaining unchanged, the radius of the reference circle is doubled. What shall be the effect on the maximum velocity of corresponding SHM?
a. No effect b. It shall be doubled c. It shall be halved d. None of these
2. All other factors remaining unchanged, the displacement is halved. The acceleration will be
a. Halved b. doubled c. trebled d. quadrupled
3. If the magnitude of displacement is numerically equal to that of acceleration, then the time period is:
a. 1 second b. p second c. 2p second d. 4p second
4. If the mass of an oscillator is numerically equal to its force constant, then the frequency is:
a. p b. 2p c . 1/p d. 1/2p
5. Time period of oscillation of a spring is 12s on Earth. What shall be the time period if it is taken to Moon?
a. 12s b. 12/6 s c. 12 x 6 s d. 16 x Ö12 s
6. What shall be the time period of a simple pendulum in a freely falling lift? Given: T = time period of the pen dulum in the lift at rest
a. T b. 2T c. T/g d. Infinite
7. What is the minimum time taken by a particle in SHM of time period T from the point of maximum displace ment to that at which the displacement is half the amplitude?
a. T/4 b. T/8 c. T/12 d. T/6
8. A particle performs harmonic motion along a line 4 cm long. The velocity of the particle when it passes through the mean position is p ms-1. The period of SHM is:
a. 0.01 s b. 0.04 s c. 0.8 s d. 0.6 s
9. The time period of a mass suspended from a spring is 5 s. The spring is cut into four equal parts and the same mass is now suspended from one of its parts. The period is now
a. 5 s b. 2.5 s c. 1.25 s d. 5/16 s
10. The time period of a second’s pendulum is 2s . Thespherical bob which is empty from inside has a bob of the same radius but having a different mass of 100 g. The new period will be:
a. 4 s b. 1 s c. 2 s d. 8 s
11. For a simple pendulum, the graph between l and T is:
a. Hyperbola b. Curved line c. Straight line d. Parabola
12. The velocity and acceleration of a particle executing SHM have a steady phase relationship . The accelera tion leads velocity in phase by:
a. + p b. + p/2 c. -p/2 d. -p
13. A block P is based on oscillation of a spring and another clock Q is based on pendulum motion. Both the clocks run at the same rate on Earth . Both the clocks are then taken to a planet having same density as Earth but twice the radius. Then
a. P will run faster than Q b. Q will run faster than P c. Both will run at the same rates as on earth.
d. Both will run at equal rates but faster than on earth
14. Two simple harmonic motions are represented by:
y1 = 10 sin (4pt + p/4) and y2 =5 (sin 4pt + Ö3 cos 4pt)
The ratio of the amplitudes of two SHM’s is:
a. 1 : 1 b. 1 : 2 c. 2 : 1 d. 1 : Ö3
15. If a simple pendulam of length l has maximum angular displacement q, then the maximum K. E of bob of mas m is:
a. 1/2ml/g b. mg/221 c. mgl (1-cos q) d. mgl sin q/2