A black body emits radiation at the rate P when its temperature is T. At this temperature the wavelength at which the radiation has maximum intensity is `lamda_0`, If at another temperature `T'` the power radiated is `P'` and wavelength at maximum intensity is `(lamda_0)/(2)` then

Options

A. `P 'T' =32PT`
B. `P 'T' =16PT`
C. `P 'T' =8PT`
D. `P 'T' =4PT`

Answer

A

Explanation

As `lambda_(m)T=b`
So , `T'=2Tor,P'16PpropT^(4)`