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
18
MCQ (Multiple Correct Answer)
A particle is in linear simple harmonic motion between two points. $A$ and $B, 10 \mathrm{~cm}$ apart (figure.) take the direction from $A$ to $B$ as the positive direction and choose the correct statements.
AO = OB = 5 cm
BC = 8 cm
A
The sign of velocity, acceleration and force on the particle when it is 3 cm away from $A$ going towards $B$ are positive
B
The sign of velocity of the particle at $C$ going towards $B$ is negative
C
The sign of velocity, acceleration and force on the particle when it is 4 cm away from $B$ going towards $A$ are negative
D
The sign of acceleration and force on the particle when it is at points $B$ is negative