Unit 1 Conceptual Multiple Choice Questions and Answers
1. A pendulum in SHM has amplitude A
and period T. At what point in the motion is the velocity
zero and the acceleration zero simultaneously
A. x = A
B. X = 0
C. x = -A
D. Never
Answer D... they have a phase difference of ^{π}/_{2} radians apart...
2. An object oscillates back and forth on the end of a spring. Which of the following statements is impossible?
A. It can have zero velocity and nonzero acceleration simultaneously
B. It can have zero velocity and zero acceleration simultaneously
C. It can have nonzero velocity and zero acceleration simultaneously
D. It can have nonzero velocity and nonzero acceleration simultaneously.
Answer B... they have a phase difference of ^{π}/_{2} radians apart...
3. A mass M oscillates on the end of a spring. To double the period, change the mass to:
A. 2M
B. M/2
C. 4M.
D. M/4
Answer C...
T = 2π √(^{m}/_{k})
^{T1}/_{T2} ∝ √(^{m1}/_{m2})
2 ∝ √(^{4m}/_{m})
4. An object of mass m is attached to a horizontal ideal spring with spring constant k and rests on a frictionless surface and . The system oscillates with amplitude A. The oscillation frequency of this system can be increased by A. increasing k and m
B. decreasing k and m.
C. increasing k and decreasing m
D. decreasing k and increasing
Answer C...
f = (^{1}/_{2π}) √(^{k}/_{m})
^{f1}/_{f2} ∝ √(^{k1}/_{k2})
^{f1}/_{f2} ∝ √(^{m2}/_{m1})
5. A pendulum has a string of length L. To double the period, change the length to:
A. 2L
B. L/2
C. 4L.
D. L/4
Answer C...
T = 2π √(^{L}/_{g})
T^{2} ∝ L |