When the temperature of a black body increases, it is observed that the wavelength corresponding to maximum energy changes from `0.26mum` to `0.13mum`. The ratio of the emissive powers of the body at the respective temperatures is

Options

A. `(16)/(1)`
B. `(4)/(1)`
C. `(1)/(4)`
D. `(1)/(16)`

Answer

D

Explanation

`P=sigmaAT^(4)`and`lambda_(m)xxT=const`
`(P_(1))/(P_(2))=((T_(1))/(T_(2)))^(4)=((lambda_(2))/(lambda_(1)))^(4)` .