NEETPhysics-Thermodynamics

NEET Physics Black Body Radiation MCQ Question

Type: MCQ-numerical-Hard-Class 11

The power radiated by a black body is P and it radiates maximum energy at wavelength λ0\lambda_0. If the temperature of the black body is now changed so that it radiates maximum energy at wavelength 3λ03\lambda_0, the power radiated by it becomes nP. The value of n is:

A

3/4

B

4/3

C

81/256

D

256/81

Correct Answer

Option C

Detailed Explanation

According to Wien's displacement law, λ0T=constant\lambda_0 T = \text{constant}. If the wavelength triples, the temperature becomes one-third. The power radiated is proportional to T4T^4, so n=(1/3)4=1/81n = (1/3)^4 = 1/81.

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