A blockbody emits radiation at the rate P when its temperature is T. AT this temperture, the wavelength at which it radiates the maximum intensity is `lambda_(0)`. At another temperature T', the total power rasiated is P' and wavelength corresponding to the maximum intensity is `(lambda_(0))/(2)`. Then

Options

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

Answer

A

Explanation

For balck body
`lambda_(0)T = (lambda_(0))/(2)T' implies T^(1) = 2T`
`(P)/(P') = (sigmaAT^(4))/(sigmaAT'^(4)) = (1)/(16) implies P'T' = (16P)(2T) = 32PT`