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10-2.Transmission of Heat
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If the wavelengths of maximum intensity of radiations emitted by the sun and the moon are $0.5\times10^{-6}\, m$ and $10^{-4}\, m$ respectively. The ratio of their temperature is
A
$1/100$
B
$1/200$
C
$100$
D
$200$
Solution
$\lambda_{\mathrm{m}} \mathrm{T}=\mathrm{constant}$
$\lambda_{1} \mathrm{T}_{1}=\lambda_{2} \mathrm{T}_{2}$
$\frac{\lambda_{1}}{\lambda_{2}}=\frac{\mathrm{T}_{2}}{\mathrm{T}_{1}}$
$\frac{\mathrm{T}_{1}}{\mathrm{T}_{2}}=\frac{\lambda_{2}}{\lambda_{1}}=\frac{10^{-4}}{0.5 \times 10^{-6}}$
$\mathrm{T}_{1} / \mathrm{T}_{2}=200$
Standard 11
Physics
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