Question

If the temperature of a Black body increases by $50$ then the amount of radiation emitted by it in a given time interval will

• A. Increase by 800%
• B. Increase by 400%
• C. Increase by 200%
• D. Increase by 1600%

Answer 1

The correct option is B Increase by 400%

$\begin{array}{c}{T}_2=\frac{3}{2}{T}_1\\ u_1=\sigma eA{T}_1^4\\ u_2=\sigma eA{T}_2^4=\frac{81}{16}\sigma eA{T}_1^4=\frac{81}{16}{u}_1\end{array}$

% increases $=\frac{\left(\frac{81}{16}-1\right)u_1}{u_1}\times 100$

$=4.06\times 10$

$\simeq 400$%