Transmission Of Heat Question 275

Question: The radiation energy density per unit wavelength at a temperature T has a maximum at a wavelength l0. At temperature $ 2T $ , it will have a maximum at a wavelength

[UPSEAT 2004]

Options:

A) 4l0

B) 2l0

C) l0/2

D) l0/4

Show Answer

Answer:

Correct Answer: C

Solution:

$ \because \ {\lambda _{m}}T={{{\lambda }’} _{m}}{T}’ $

Therefore $ {\lambda _{0}}T={\lambda }’\times 2T $

Therefore $ {\lambda }’=\frac{{\lambda _{0}}}{2} $