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Question: A black body at high temperature T K radiates energy at the rate of E W/m<sup>2</sup>. When the temp...

A black body at high temperature T K radiates energy at the rate of E W/m2. When the temperature falls to (T/2) K, the radiated energy will be -

A

E/4

B

E/2

C

2E

D

E/16

Answer

E/16

Explanation

Solution

E2E1=(T2)4T4=116\frac{E_{2}}{E_{1}} = \frac{\left( \frac{T}{2} \right)^{4}}{T^{4}} = \frac{1}{16}