The maximum energy is the thermal radiation from a hot source occurs at a wavelength of `11 xx 10^(-5) cm`. According to Wien’s law, the temperature of this source (on Kelvin scale) will be n times the temperature of another source (on Kelvin scale) for which the wavelength at maximum energy is `5.5 xx 10^(-5)` cm. The value of `n` is:

Options

A. `2`
B. `4`
C. `1//2`
D. `1`

Answer

C

Explanation

According to Wein's law
`lambda_(m)T` = constant
or, `(lambda_m)_(1)T_(1)=(lambda_m)_(2)T_(2)`
`:. 11xx10^(-5)xxT_(1)=(5.5xx10^(-5))xxT_(2)`
`:. T_(1)=1/2T_(2)`.