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 Wien.s law, `lamda_(m)T=` constant
`:. (lamda_(m))_(1) T_(1) = (lamda_(m))_(2) T_(2)`
or `(11 xx 10^(-5))T_(1) = (5.5 xx 10^(-5))T_(2) or T_(1) = (1)/(2)T_(2)`
`:. n = (1)/(2)`