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A 2 g bullet moving with a velocity of 2...

A 2 g bullet moving with a velocity of 200 m/s is brought to a sudden stoppage by an obstacle. The total heat produced goes to the bullet. If the specific heat of the bullet is `0.03 cal//g^@C`, the rise in its temperature will be

A

`158.0^@C`

B

`15.80^@C`

C

`1.58^@C`

D

`0.1580^@C`

Text Solution

Verified by Experts

The correct Answer is:
A
The kinetic energy of the bullet will be utilized to melt the bullet
`(1)/(2)mv^2=(msDeltatheta)J`
`(1)/(2)xx2xx10^-3xx(200)^2=2xx0.03xxDeltathetaxx4.2`
`Deltatheta=158^@C`
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Knowledge Check

  • A 50 g bullet moving with velocity 10 m/s strikes a block of mass 950 g at rest and gets embedded in it. The loss in kinetic energy will be

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