Solveeit Logo

Question

Question: The temperatures of two bodies A and B are ![](https://cdn.pureessence.tech/canvas_657.png?top_left_...

The temperatures of two bodies A and B are and . The ratio of rate of emission of radiations will be

A

727/127

B

625/16

C

1000/400

D

100/16

Answer

625/16

Explanation

Solution

E1E2=(T1T2)4=(727+273127+273)4\frac { E _ { 1 } } { E _ { 2 } } = \left( \frac { T _ { 1 } } { T _ { 2 } } \right) ^ { 4 } = \left( \frac { 727 + 273 } { 127 + 273 } \right) ^ { 4 } =(1000)4(400)4=10444=62516= \frac { ( 1000 ) ^ { 4 } } { ( 400 ) ^ { 4 } } = \frac { 10 ^ { 4 } } { 4 ^ { 4 } } = \frac { 625 } { 16 }