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  4. A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250 nm is U1, at wavelength 500 nm is U2 and that at 1000 nm is U3. Wien's constant, b = 2.88 × 106 nm K. Which of the following is correct ?

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Q. A black body is at a temperature of $5760 \,K$. The energy of radiation emitted by the body at wavelength $250\,nm$ is $U_1$, at wavelength $500\, nm$ is $U_2$ and that at $1000\,nm$ is $U_3$. Wien's constant, $b = 2.88 \times 10^6 \, nm\,K$. Which of the following is correct ?

NEETNEET 2016Thermal Properties of Matter

Solution:

Maximum amount of emitted radiation corresponding to $\lambda_m = \frac{b}{T}$
$\lambda_m = \frac{2.88 \times 10^{6} \, nmK}{5760K} = 500 \, nm$
From the graph $U_1 < U_2 > U_3$

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