Two sphere of the same material and radii 4 m and 1m respectively are at temperature 1000 K and 2000 K respectively. The ratio of energies radiated by them per second is

Options

A. `1:2`
B. `2:1`
C. `1:1`
D. `1:4`

Answer

C

Explanation

`(E_(1))/(E_(2))=(A_(1)T_(1)^(4))/(A_(2)T_(2)^(4))=(r_(1)^(2))/(r_(2)^(2))(T_(1)^(4))/(T_(2)^(4))=(16)/(1)xx(1)/(16)=1`