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The sun emits maximum radiation of 0.52 micron meter. Assuming the sun to be a black body, Calculate the surface temperature of the sun
- a)2345 K
- b)5573 K
- c)9847 K
- d)6492 K
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The sun emits maximum radiation of 0.52 micron meter. Assuming the sun...
T = 2.8908 * 10 -3/0.52 * 10 -6 = 5573 K.
Most Upvoted Answer
The sun emits maximum radiation of 0.52 micron meter. Assuming the sun...
Given:
Maximum radiation wavelength, λ = 0.52 μm
Assuming the sun to be a black body
We can use Wien's displacement law to calculate the surface temperature of the sun.
Wien's displacement law states that the wavelength corresponding to the maximum intensity of radiation emitted by a black body is inversely proportional to its absolute temperature.
Mathematically,
λ_max T = b
where b is a constant known as Wien's displacement constant, which is equal to 2.898 × 10^-3 mK.
Calculating the surface temperature of the sun:
λ_max = 0.52 μm = 5.2 × 10^-7 m
b = 2.898 × 10^-3 mK
Substituting the values in the above equation, we get:
T = b/λ_max
T = (2.898 × 10^-3)/(5.2 × 10^-7)
T = 5573 K
Therefore, the surface temperature of the sun is 5573 K.
Hence, option B is the correct answer.
Maximum radiation wavelength, λ = 0.52 μm
Assuming the sun to be a black body
We can use Wien's displacement law to calculate the surface temperature of the sun.
Wien's displacement law states that the wavelength corresponding to the maximum intensity of radiation emitted by a black body is inversely proportional to its absolute temperature.
Mathematically,
λ_max T = b
where b is a constant known as Wien's displacement constant, which is equal to 2.898 × 10^-3 mK.
Calculating the surface temperature of the sun:
λ_max = 0.52 μm = 5.2 × 10^-7 m
b = 2.898 × 10^-3 mK
Substituting the values in the above equation, we get:
T = b/λ_max
T = (2.898 × 10^-3)/(5.2 × 10^-7)
T = 5573 K
Therefore, the surface temperature of the sun is 5573 K.
Hence, option B is the correct answer.
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The sun emits maximum radiation of 0.52 micron meter. Assuming the sun to be a black body, Calculate the surface temperature of the suna)2345 Kb)5573 Kc)9847 Kd)6492 KCorrect answer is option 'B'. Can you explain this answer?
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