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A bullet is fired at a target with a vel...

A bullet is fired at a target with a velocity v. It is found that its velocity decreases from v to `v//2` when it penetrates 30 cm in the target. Through what thickness it will penetrate further in the targer, before coming to rest?

A

5 cm

B

10 cm

C

15 cm

D

20 cm

Text Solution

Verified by Experts

The correct Answer is:
B
When water falls through a height h, its potential energy is converted into kinetic energy and then into heat energy. As a result, the temperature of water is slightly increased by `d theta`.
Loss in P.E.
= Gain in heat energy
= mass `xx` specific heat `xx` change in temperature
`mgh=ms(d theta)`
`therefore d theta=(gh)/(s)=(10x100)/(4.2xx10^(3))=0.238^(@)C = 0.24^(@)C`
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