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.
| (a) | the velocity of the bullet will be reduced to half its initial value. |
| (b) | the velocity of the bullet will be more than half of its earlier velocity. |
| (c) | the bullet will continue to move along the same parabolic path. |
| (d) | the bullet will move in a different parabolic path. |
| (e) | the bullet will fall vertically downward after hitting the target. |
| (f) | the internal energy of the particles of the target will increase. |
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)
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