Transmission Of Heat Question 271

Question: A black body at a temperature of 1640 K has the wavelength corresponding to maximum emission equal to 1.75$ \mu $ . Assuming the moon to be a perfectly black body, the temperature of the moon, if the wavelength corresponding to maximum emission is 14.35 m is

[Kerala (Med.) 2002]

Options:

A) 100 K

B) 150 K

C) 200 K

D) 250 K

Show Answer

Answer:

Correct Answer: C

Solution:

$ \frac{T _{2}}{T _{1}}=\frac{{\lambda _{m _{1}}}}{{\lambda _{m _{2}}}}=\frac{1.75}{14.35}\Rightarrow T _{2}=\frac{1.75}{14.35}\times 1640=200\ K $