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Q.

The power radiated by a black body is P and it radiates maximum energy around the wavelength $λ_{0}$ . If the temperature of the black body is now changed so that it radiates maximum energy around a wavelength $3 λ_{0} / 4$ , the power radiated by it will increase by a factor of

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a

16/9

b

256/81

c

64/27

d

4/3

answer is D.

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Detailed Solution

$P = {σAT}^{4} and λ_{m} T = const \frac{P_{2}}{P_{1}} = {(\frac{T_{2}}{T_{1}})}^{4}$

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