The maximum energy in thermal radiation for a source occurs at wavelength `11xx10^(-5)cm`. The temperature of the source is n times the temperature of another source of which the wavelength at maximum energy emission is `5.5xx10^(-5)` cm The value of n is :

Options

A. 2
B. `1//3`
C. `1/2`
D. 1

Answer

C

Explanation

Since `lamdamT=b`.
`:." "lamda_(1)mT_(1)=lamda_(2)mT_(2)`
`rArr11xx10^(-5)xxT_(1)=T_(2)xx5*5xx10^(-5)`.
Since `T_(1)=nT_(2)`.
`:." "11xxnT_(2)=5*5T_(2)`.
`rArr" "n=1/2`
Hence correct choice is (c ).