If wavelengths of maximum intensity of radiations emitted by the sun and the moon are 0-5 - 10-5 m and 10-4 m respectively- the ratio of their temperatures isA- 1 - 100B- 1 - 200C- 100D- 200

The correct option is D 200 λ_m T=constant ⇒T_1/T_2=λ_2/λ_1⇒10^ 4/0.5 × 10^ 5=200 ...

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Standard XII

Physics

Emissive and Absorptive Power

If wavelength...

Question

If wavelengths of maximum intensity of radiations emitted by the sun and the moon are $0.5 \times 10^{- 5} m a n d 10^{- 4} m$ respectively, the ratio of their temperatures is

1/100

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1/200

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100

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200

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Solution

The correct option is D
200

$λ_{m} T = c o n s t a n t \Rightarrow \frac{T_{1}}{T_{2}} = \frac{λ_{2}}{λ_{1}} \Rightarrow \frac{10^{- 4}}{0.5 \times 10^{- 5}} = 200$

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If wavelengths of maximum intensity of radiations emitted by the sun and the moon are 0.5×10−5 m and 10−4 m respectively, the ratio of their temperatures is

The correct option is D 200 λm T=constant⇒T1T2=λ2λ1⇒10−40.5×10−5=200

If wavelengths of maximum intensity of radiations emitted by the sun and the moon are $0.5 \times 10^{- 5} m a n d 10^{- 4} m$ respectively, the ratio of their temperatures is

The correct option is D
200

$λ_{m} T = c o n s t a n t \Rightarrow \frac{T_{1}}{T_{2}} = \frac{λ_{2}}{λ_{1}} \Rightarrow \frac{10^{- 4}}{0.5 \times 10^{- 5}} = 200$