First slide

Radiation

Question

A black body is at a temperature of $5760 K$ . The energy of radiation emitted by the body at wavelength $250 n m$ is $U_{1}$ , at wavelength $500 n m$ is $U_{2}$ and that at $1000 n m$ is $U_{3}$ . Wien’s constant, $b = 2.88 \times 10^{6} n m K$ . Which of the following is correct?

Moderate

A

$U_{1} > U_{2}$
B

$U_{2} > U_{1}$
C

$U_{1} = 0$
D

$U_{3} = 0$

Solution

According to Wein's displacement law
$λ_{m} = \frac{b}{T} = \frac{2.88 \times 10^{6} nmK}{5760 K} = 500 nm$
$C l e a r l y f r o m g r a p h$
$U_{1} < U_{2} > U_{3}$

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