If wavelengths of maximum intensity of radiations emitted by the sun and the moon are 0-5 - 10-6 m and 10-4 m respectively- the ratio of their temperatures is 1A- 100B- 200C- 100D- 200

The correct option is D 200According to wein's law, λ_m T = constant ⇒T_1T_2 = λ_2λ_1⇒10^ 40.5 × 10^ 6 = 200. ...

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Standard XII

Physics

Blackbody

If wavelength...

Question

If wavelengths of maximum intensity of radiations emitted by the sun and the moon are $0.5 \times 10^{- 6} m$ and $10^{- 4} m$ respectively, the ratio of their temperatures is

\frac{1}{100}

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\frac{1}{200}

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100

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200

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Solution

The correct option is D $200$
According to wein's law,
$λ_{m} T = c o n s t a n t \Rightarrow \frac{T_{1}}{T_{2}} = \frac{λ_{2}}{λ_{1}} \Rightarrow \frac{10^{- 4}}{0.5 \times 10^{- 6}} = 200.$

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If wavelengths of maximum intensity of radiations emitted by the sun and the moon are 0.5×10−6m and 10−4m respectively, the ratio of their temperatures is

The correct option is D 200According to wein's law, λmT=constant⇒T1T2=λ2λ1⇒10−40.5×10−6=200.

If wavelengths of maximum intensity of radiations emitted by the sun and the moon are $0.5 \times 10^{- 6} m$ and $10^{- 4} m$ respectively, the ratio of their temperatures is

The correct option is D $200$
According to wein's law,
$λ_{m} T = c o n s t a n t \Rightarrow \frac{T_{1}}{T_{2}} = \frac{λ_{2}}{λ_{1}} \Rightarrow \frac{10^{- 4}}{0.5 \times 10^{- 6}} = 200.$