For a particle executing SHM the displacement \(x \) is given by, \(A\cos \omega t.\)  Identify the graph which represents the variation of potential energy (P.E.) as a function of time \(t\) and displacement \(x.\)

   
1. I, III
2. II, IV
3. II, III
4. I, IV

1. \(25~\text{Hz}\)
2. \(50~\text{Hz}\)
3. \(12.25~\text{Hz}\)
4. \(33.3~\text{Hz}\)

1. \(x= 10\sin\left(\pi t+\frac{\pi}{6}\right)\)
2. \(x= 10\sin\left(\pi t\right)\)
3. \(x= 10\cos\left(\pi t\right)\)
4. \(x= 5\sin\left(\pi t+\frac{\pi}{6}\right)\)

The figure depicts four \(({x\text-t})\) plots for the linear motion of a particle.

(a)
(b)
(c)
(d)

Which of the following is true​​​​?

The (displacement-time) graph of a particle executing SHM is shown in the figure. Then:

A body is performing SHM, then its:

Choose the correct alternatives:
1. (a), (b), (d)

2. (a), (c)

3. (b), (d)

4. (b), (c), (d)

Which of the following statements is/are correct.

1. (a), (b) and (d)
2. (b) and (d)
3. (a), (c) and (d)
4. All are correct

A particle of mass \(m\) executes SHM along a straight line with an amplitude \(A\) and frequency \(f.\)