A bullet when fired at a target with a velocity of ${"mathml":"<math class="image_resized" style="width:24px;height:11px"><span style="font-family:$ ; ${"mathml":"<math class="image_resized" style="width:36px;height:12px"><span style="font-family:$ penetrates one meter into it. If the bullet is fired at a similar target with a thickness 0.5; ${"mathml":"<math class="image_resized" style="width:12px;height:7px"><span style="font-family:$ . Then, at what velocity the bullet will emerge from it?

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${"mathml":"<math class="image_resized" style="width:75px;height:46px"><span style="font-family:$

${"mathml":"<math class="image_resized" style="width:56px;height:12px"><span style="font-family:$

answer is A.

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Detailed Solution

Concept: The first scenario results in a one-meter penetration of the target by the bullet. As a result, the target must exert some effort to deflect the bullet.
Let

be the velocity with which the bullet will energy. Now,
Change in kinetic energy = Work done.
In first case,

In second case,

Dividing Eq. (ii) by Eq. (i), we get
Question Image

Hence, the correct option is 1.

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