If wavelength of maximum intensity of radiaation emitted by sun and moon are 0-5-10-6 m and 10-4m respectively- the ratio of their temperature is

We know that λ T=constant T_sunT_moon=λ_moonλ_sun=10^ 40.5× 10^ 6 T_sunT_moon=200 ...

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Byju's Answer

Standard XII

Physics

Wave Equation

If wavelength...

Question

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

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Solution

We know that $λ T = c o n s t a n t$

$⟹ \frac{T_{s u n}}{T_{m o o n}} = \frac{λ_{m o o n}}{λ_{s u n}} = \frac{10^{- 4}}{0.5 \times 10^{- 6}}$

$⟹ \frac{T_{s u n}}{T_{m o o n}} = 200$

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