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The light from the Sun is found to have a maximum intensity near the wavelength of 470 nm. Assuming the surface of the Sun as a black body, the temperature of the Sun is _____________.

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Question

The light from the Sun is found to have a maximum intensity near the wavelength of 470 nm. Assuming the surface of the Sun as a black body, the temperature of the Sun is _____________.

[Wien's constant b = 2 .898 x l0- 3mK]

Options

  • 5800 K

  • 6050 K

  • 6166 K

  • 6500 K

MCQ
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Solution

The light from the Sun is found to have a maximum intensity near the wavelength of 470 nm. Assuming the surface of the Sun as a black body, the temperature of the Sun is 6166 K.

Explanation:

Given:  λm​= 470nm = 4.70×10−7m  b = 2.898×10−3mK

From Wien's displacement law,

m​ = b

We get, temperature of sun

T = `b/(λ_m)`

∴ T = `(2.898 xx 10^(−3​))/(4.70 xx 10^(−7))` = 6166  K

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2012-2013 (March)

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