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(B) According to Wien's Displacement Law, the product of the wavelength of maximum emission $(\lambda_m)$ and the absolute temperature $(T)$ is a cons

Vedclass · Accepted Answer

$30:1$

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(B) According to Wien's Displacement Law, the product of the wavelength of maximum emission $(\lambda_m)$ and the absolute temperature $(T)$ is a constant, i.e., $\lambda_m T = b$.Therefore, the ratio of temperatures is inversely proportional to the ratio of their wavelengths: $\frac{T_1}{T_2} = \frac{\lambda_{m2}}{\lambda_{m1}}$.Given $\lambda_{m1} = 140 \mathring{A}$ and $\lambda_{m2} = 4200 \mathring{A}$.Substituting the values: $\frac{T_1}{T_2} = \frac{4200}{140} = \frac{30}{1}$.Thus, the ratio of temperatures is $30:1$.

What will be the ratio of temperatures of the sun and the moon if the wavelengths corresponding to their maximum emission radiation rates are $140 \mathring{A}$ and $4200 \mathring{A}$ respectively?

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