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Question: If wavelengths of maximum intensity of radiations emitted by the sun and the moon are \(0.5 \times 1...

If wavelengths of maximum intensity of radiations emitted by the sun and the moon are 0.5×106m0.5 \times 10^{- 6}m and 104m10^{- 4}m respectively, the ratio of their temperatures is

A

1/100

B

1/200

C

100

D

200

Answer

200

Explanation

Solution

λmT\lambda_{m}T =constant ⇒T1T2=λ2λ1\frac{T_{1}}{T_{2}} = \frac{\lambda_{2}}{\lambda_{1}}1040.5×105\frac{10^{- 4}}{0.5 \times 10^{- 5}}=200.