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10-2.Transmission of Heat
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The intensity of radiation emitted by the Sun has its maximum value at a wavelength of $510\,\, nm$ and that emitted by the North Star has the maximum value at $350\,\, nm$. If these stars behave like black bodies then the ratio of the surface temperature of the Sun and the North Star is
A
$1.46$
B
$0.69$
C
$1.21$
D
$0.83$
Solution
Using Wien's displacement law, $\quad T \lambda=$ constant
$\Longrightarrow \quad T \propto \frac{1}{\lambda}$
Given: $\lambda_{N}=350 \mathrm{nm} \quad \lambda_{s}=510 \mathrm{nm}$
$\therefore \frac{T_{s}}{T_{N}}=\frac{\lambda_{N}}{\lambda_{s}}$
OR $\quad \frac{T_{s}}{T_{N}}=\frac{350}{510}=0.69$
Standard 11
Physics
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