Gujarati
Hindi
10-2.Transmission of Heat
normal

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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