The displacement of a particle in simple harmonic motion in one time period is:
1. \(A\)
2. \(2A\)
3. \(4A\)
4. zero

The distance moved by a particle in simple harmonic motion in one time period is.
1. \(A\)
2. \(2A\)
3. \(4A\)
4. zero

The average acceleration in one time period in a simple harmonic motion is:
1. \(A\omega^{2}\)
2. \(A\omega^{2}/2\)
3. \(A\omega^{2}/ \sqrt{2}\)
4. zero

The motion of a particle is given by \(x=A\sin\omega t+B\cos\omega t\). The motion of the particle is:

The displacement of a particle is given by \(\vec{r}=A(\vec{i} \cos \omega t+\vec{j} \sin \omega t)\). The motion of the particle is

1. simple harmonic

2. on a straight line

3. on a circle

4. with constant acceleration

A particle moves on the \(x\text-\)axis according to the equation \(x = A + B \sinωt.\) The motion is simple harmonic with amplitude:
1. \(A\)
2. \(B\)
3. \(A + B\)
4. \(\sqrt{A^2+B^2}\)

The figure represents two simple harmonic motions.

The parameter which has different values in the two motions is:
1. amplitude
2. frequency
3. phase
4. maximum velocity

The total mechanical energy of a spring-mass system in simple harmonic motion is; \(E=\dfrac12m\omega^2A^2.\) 
Suppose the oscillating particle is replaced by another particle of double the mass while the amplitude \(A\) remains the same. The new mechanical energy will:
1. become \(2E\)
2. become \(E/2\)
3. become \(\sqrt E\)
4. remain \(E\)

The average energy in one time period in simple harmonic motion is:
1. \(\dfrac{1}{2} m \omega^{2} A^{2}\)
2. \(\dfrac{1}{4} m \omega^{2} A^{2}\)
3. \(m \omega^{2} A^{2}\)
4. zero

A particle executes simple harmonic motion with a frequency \(\nu.\) The frequency with which the kinetic energy oscillates is:
1. \(\nu/2\)
2. \(\nu\)
3. \(2\nu\)
4. zero