A black body is a temperature of 5760 K- The energy of radiation emitted by the body wavelength 250 nm is -U-1- wavelength 500 nm is -U-2- and that 1000 nm is -U-3- Wien-s constant- b - 2-88 times -10-6- nmK- Which of the following is correct-U-1- - 0-U-3- - 0-U-1- - -U-2-U-2- - -U-1-

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Toppr Admin · Accepted Answer

Maximum amount of emitted radiation corresponding to -x3BB-m-bT-x21D2-x3BB-m-2-88-xD7-106nmK5760K-500-xA0-nmFrom the graph we can see that U1-lt-U2-gt-U3

A black body is at a temperature of 5760K. The energy of radiation emitted by the body at wavelength 250nm is U1, at wavelength 500nm is U2 and that at 1000nm is U3. Wien's constant, b=2.88×106nmK. Which of the following is correct?U1=0U3=0U1>U2U2>U1

Maximum amount of emitted radiation corresponding to λm=bT⇒λm=2.88×106nmK5760K=500 nmFrom the graph we can see that U1<U2>U3

Maximum amount of emitted radiation corresponding to $λ_{m} = \frac{b}{T}$

$\Rightarrow λ_{m} = \frac{2.88 \times 10^{6} n m K}{5760 K} = 500 n m$

From the graph we can see that $U_{1} < U_{2} > U_{3}$