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-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 \(E=\frac12m~\omega^2A^2\). 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. \(\frac{1}{2} m \omega^{2} A^{2}\) 
2. \(\frac{1}{4} m \omega^{2} A^{2}\) 
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

A particle executes simple harmonic motion under the restoring force provided by a spring. The time period is T. If the spring is divided in two equal parts and one part is used to continue the simple harmonic motion, the time period will

1. remain T

2. become 2T

3. become T/2

4. become T/\(\sqrt2\)