Question

If the temperature of a black body increases from ${17}^{\circ }C$ to ${307}^{\circ }C$, then the rate of energy radiation will become:-

• A. $4$ times
• B. $8$ times
• C. $16$ times
• D. $32$ times

Answer 1

Answer: (C)

$16$ times

From Stefan's Law:-

$E\propto T^4$

$\Rightarrow \frac{E_2}{E_1}=\frac{(273+307{)}^4}{(273+17{)}^4}$

$={\left(\frac{580}{290}\right)}^4$

$=2^4$

$E_2=16E_1$
Rate of energy radiation will become $16$ times with increase in temperature

Correct Option - (C)