Question

Two bodies $A$ and $B$ are placed in an evacuated. vessel maintained at a temperature of ${27}^{\circ }C$. The temperature of $A$ is ${327}^{\circ }C$ and that of $B$ is ${227}^{\circ }C$. The ratio of heat loss from $A$ and $B$ is about

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

Answer 1

The correct option is A 2 : 1

For body $A$ rate of heat loss is $E_A=\sigma A({600}^4-{300}^4)$ For body $B$ rate of heat loss is $E_B=\sigma A({500}^4-{300}^4)$ So ratio of heat loss is $E_A/E_B=({600}^4-{300}^4)/({500}^4-{300}^4)=2.23:1\approx 2:1$

So option A is correct.