Transmission Of Heat Question 267
Question: The maximum energy in the thermal radiation from a hot source occurs at a wavelength of $ 11\times {{10}^{-5}}cm $ . According to Wein’s law, the temperature of the 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\times {{10}^{-5}}cm $ . The value $ n $ is
[CPMT 1991]
Options:
A) 2
B) 4
C) $ \frac{1}{2} $
D) 1
Show Answer
Answer:
Correct Answer: C
Solution:
$ \frac{T _{1}}{T _{2}}=\frac{{\lambda _{m _{2}}}}{{\lambda _{m _{1}}}}=\frac{5.5\times 10^{5}}{11\times 10^{5}}=\frac{1}{2} $
Therefore $ n=\frac{1}{2} $ .
BETA
