A body is moving unidirectionally under the influence of a source of constant power supplying energy. Which of the diagrams shown in the figure correctly shows the displacement-time curve for its motion?

1.		2.
3.		4.

Which of the diagrams shown in the figure most closely shows the variation in kinetic energy of the earth as it moves once around the sun in its elliptical orbit?

1.		2.
3.		4.

Which of the diagrams shown in the figure represents the variation of to mechanical energy of a pendulum oscillating in the air as a function of time.

1.		2.
3.		4.

A mass of \(5~\text {kg}\) is moving along a circular path of radius \(1~\text {m}\). If the mas moves with \(300~\text {rev/min}\), its kinetic energy would be
1. \(250 \pi^2~\text{J}\)
2. \(100 \pi^2~\text{J}\)
3. \(5 \pi^2~\text{J}\)
4. \(0\)

A cricket ball of mass \(150~\text{g}\) moving with a speed of \(126~\text{km/h}\) hits at the middle of the bat, held firmly at its position by the batsman. The ball moves straight back to the bowler after hitting the bat. Assuming that collision between ball and bat is completely elastic and the two remains in contact for \(0.001~\text{s}\), the force that the batsman had to apply to hold the bat firmly at its place would be:
1. \(10.5~\text{N}\)
2. \(21~\text{N}\)
3. \(1.05\times10^{4}~\text{N}\)
4. \(2.1\times 10^{4}~\text{N}\)

A man of mass \(m,\) standing at the bottom of the staircase, of height \(L,\) climbs it and stands at its top.

Choose the correct option from the given ones:

A bullet of mass \(m\) fired at \(30^\circ\) to the horizontal leaves the barrel of the gun with a velocity \(v.\) The bullet hits a soft target at a height \(h\) above the ground while it is moving downward and emerge out with half the kinetic energy it had before hitting the target. Consider the following statements.

Which of the above-given statement(s) is/are correct in respect of the bullet after it emerges out of the target?
1. (a), (c), (f)
2. (a), (d), (f)
3. (b), (d, (f)
4. (a), (b), (c)