Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
A heated body emits radiation which has maximum intensity at frequency\[{{v}_{m}}\]. If the temperature of the body is doubled (1) the maximum intensity radiation will be at frequency\[2{{v}_{m}}\] (2) the maximum intensity radiation will be at frequency\[(1/2){{v}_{m}}\] (3) the total emitted energy will increase by a factor of 2 (4) the total emitted energy will increase by a factor of 16A) 1, 2 and 3 are correct
B) 1 and 2 are correct
C) 2 and 4 are correct
D) 1 and 3 are correct
Correct Answer: D
Solution :
According to Wien's law, \[{{\lambda }_{m}}T=\]constant or \[\frac{T}{{{v}_{m}}}=\]constant So, if T is doubled,\[{{v}_{m}}\]is also doubled. Further, according to Stefan's law, \[E\propto {{T}^{4}}\] When T is doubled, E increases by a factor of 16.
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