For an enclosure maintained at 2000K, the maximum radiation occurs at wavelength `lambda_m`. If the temperature is raised to 3000K, the peak will shift to

Options

A. `5/2 lambda_(m)`
B. `1/2 lambda_(m)`
C. `7/2 lambda_(m)`
D. `3/2 lambda_(m)`

Answer

B

Explanation

We know from Wien's displacement law,
`lambda_(m)T=` constant
`therefore lambda_(m)T_(1)=lambda'_(m)T_(2)`
`implies lambda'_(m)=(lambda_(m)T_(1))/(T_(2))=(lambda_(m)xx1000)/(2000)=(lambda_(m))/(2)`