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Question

Physics Question on Heat Transfer

A black body has maximum wavelength 1 m at 2000 K. Its corresponding wavelength at 3000 K will be

A

32λm\frac{3}{2} \lambda m

B

23λm\frac{2}{3} \lambda m

C

1681λm\frac{16}{81} \lambda m

D

8116λm\frac{81}{16} \lambda m

Answer

23λm\frac{2}{3} \lambda m

Explanation

Solution

According to Wein's law,
λT=constant\lambda T = \, \, \, constant
λ=(2/3)λm\therefore \, \, \, \, {\lambda }' = (2/3) {\lambda }^m