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

Options

A. `158.0^@C`
B. `15.80^@C`
C. `1.58^@C`
D. `0.1580^@C`

Answer

A

Explanation

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`