Two identical balls, A and B , of uniform composition and initially at same temperature, each absorb

English

Gujarati

Hindi

11.Thermodynamics

medium

Two identical balls, $A$ and $B$ , of uniform composition and initially at the same temperature, each absorb exactly the same amount of heat. $A$ is hanging down from the ceiling while $B$ rests on the horizontal floor in the same room. Assuming no subsequent heat loss by the balls, which of the following statements is correct about their final temperatures, $T_A$ and $T_B$ , once the balls have reached their final state?

$T_A < T_B$

$T_A > T_B$

$T_A = T_B$

$T_A \leq T_B$

Solution

When the balls are warmed, their centre of masses are moving as radii of balls are increasing. The centre of mass of ball $A$ will come down and that of ball $B$ will go up.In case of ball $A,$ the gravitational potential energy decreases.This corresponds to additional heating of ball.

$T_{A}>T_{B}$

Standard 11

Physics