Question

Two metal balls of same material havingmasses 50$gm$ and 100$gm$ collides with a target withsame velocity. Then the ratio of their rise intemperature is

• A. $1:2$
• B. $4:1$
• C. $2:1$
• D. $1:1$

Answer 1

The correct option is D $1:1$

Given,

masses of metals ball is $m_1$ and $m_2$ respectively

Rise in Temperature

$\frac{1}{2}m{v}^2=mc△T△T=\frac{v^2}{2c}$

Velocity of both the ball is constant therefore,

Rise in temperature will be same because here, $c$ is velocity of light is constant and velocity is also constant therefore ratio of rise in temperature is $1:1$

Hence, correct option is $D$