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Question

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 0.5×106 m0.5 \times 10 ^ { - 6 } \mathrm {~m} and 104 m10 ^ { - 4 } \mathrm {~m} respectively, the ratio of their temperatures is

A

1/100

B

1/200

C

100

D

200

Answer

200

Explanation

Solution

T1T2=λ2λ1\frac { T _ { 1 } } { T _ { 2 } } = \frac { \lambda _ { 2 } } { \lambda _ { 1 } }

1040.5×105\frac { 10 ^ { - 4 } } { 0.5 \times 10 ^ { - 5 } }=200.