13
MCQ (Multiple Correct Answer)
Motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower point is
A
simple harmonic motion
B
non-periodic motion
C
periodic motion
D
periodic but not SHM
14
MCQ (Multiple Correct Answer)
Displacement versus time curve for a particle executing SHM is shown in figure. Choose the correct statements.
A
Phase of the oscillator is same at $t=0 \mathrm{~s}$ and $t=2 \mathrm{~s}$
B
Phase of the oscillator is same at $t=2 \mathrm{~s}$ and $t=6 \mathrm{~s}$
C
Phase of the oscillator is same at $t=1 \mathrm{~s}$ and $t=7 \mathrm{~s}$
D
Phase of the oscillator is same at $t=1 \mathrm{~s}$ and $t=5 \mathrm{~s}$
15
MCQ (Multiple Correct Answer)
Which of the following statements is/are true for a simple harmonic oscillator?
A
Force acting is directly proportional to displacement from the mean position and opposite to it
B
Motion is periodic
C
Acceleration of the oscillator is constant
D
The velocity is periodic
16
MCQ (Multiple Correct Answer)
The displacement-time graph of a particle executing SHM is shown in figure. Which of the following statement is/are true ?
A
The force is zero at $t=\frac{3 T}{4}$
B
The acceleration is maximum at $t=\frac{4 T}{4}$
C
The velocity is maximum at $t=\frac{T}{4}$
D
The PE is equal to KE of oscillation at $t=\frac{T}{2}$
17
MCQ (Multiple Correct Answer)
A body is performing SHM, then its
A
average total energy per cycle is equal to its maximum kinetic energy
B
average kinetic energy per cycle is equal to half of its maximum kinetic energy
C
mean velocity over a complete cycle is equal to $\frac{2}{\pi}$ times of its maximum velocity
D
root mean square velocity is $\frac{1}{\sqrt{2}}$ times of its maximum velocity