A heated body emits radiation which has maximum intensity at frequency `v_(m)`. If the temperature of the body is doubled :

Options

A. the maximum intensity radiation will be at frequency `2v_(m)`
B. the maximum intensity radiation will be at frequency `v_(m)`
C. the total emitted power will increase by a factor `16`
D. the total emitted power will increase by a factor `2`

Answer

A, C

Explanation

`T lambda = Constant v_(m) = (C )/(lambda_(max))`
`(T)/(v_(max)) = constant`
`(T_(1))/(v_(1)) = (T_(2))/(v_(2)) v_(2) = (T_(2))/(T_(1)) v_(1) = (2T)/(T). V_(1) = 2v_(1)`
`E = sigma eAT^(4)`
`E sigma T^(4) (E_(2))/(E_(1)) = (2)^(4) = 16`