Question

The temperature of a black body is increased by 50%. The amount of radiation emitted by the body increases by :

• A. 50%
• B. 100%
• C. 225%
• D. 406.25%

Answer 1

Answer: (D)

406.25%

Let the initial temperature be $T_1=100$ and final temperature increased by $50$ then $T_2=150$
Now, amount of radiation emitted by body is given as: $\frac{T_2^4-T_1^4}{T_1^4}\times 100=\frac{{150}^4-{100}^4}{{100}^4}\times 100=406.25$