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Standard XII

Physics

Wien's Displacement Law

Solar radiati...

Question

Solar radiation is found to have an intensity maximum neat the wavelength range of 470 nm. Assuming the surface of sun to be perfectly absorbing (a = 1), calculate the temperature of solar surface.

6000 K

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8000 K

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1000 K

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16000 K

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Solution

The correct option is D $6000 K$
Since a = 1, sun can be assumed to be emitting as a black body from Wien's law for a black body.
$λ_{m} T = b$
$\Rightarrow T = \frac{b}{λ_{m}} = \frac{0.282 (c m - K)}{470 \times 10^{- 7} c m)}$
= 6000 K

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Similar questions

Q. The light from the sun is found to have a maximum intensity near the wavelength of

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. Assuming that the surface of the sun emits as a blackbody, calculate the temperature of the surface of the sun. Given:

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Solar radiation is found to have an intensity maximum neat the wavelength range of 470 nm. Assuming the surface of sun to be perfectly absorbing (a = 1), calculate the temperature of solar surface.

The correct option is D 6000KSince a = 1, sun can be assumed to be emitting as a black body from Wien's law for a black body.λmT=b⇒T=bλm=0.282(cm−K)470×10−7cm)= 6000 K

The correct option is D $6000 K$
Since a = 1, sun can be assumed to be emitting as a black body from Wien's law for a black body.
$λ_{m} T = b$
$\Rightarrow T = \frac{b}{λ_{m}} = \frac{0.282 (c m - K)}{470 \times 10^{- 7} c m)}$
= 6000 K