First slide

Radiation

Question

A heated body emits radiation which has maximum intensity at frequency v_m. If the temperature of the body is doubled,

Moderate

A

the maximum intensity radiation will be at frequency (2V_m)
B

the maximum intensity radiation will be at frequency (V_m/2)
C

the total emitted energy will increase by a factor 1.6
D

the total emitted energy will increase by a factor 2

Solution

According to Wien's law,
$λ_{m} T = constantor T / v_{m} = constant$
When Tis doubled, v_m is also doubled, i.e., (2V_m)
According to Stefan's law, $E \propto T^{4}$
When T is doubled, E is increased by a factor of 16.

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