First slide

Radiation

Question

A black body is at a temperature of 2800 K. The energy of radiation emitted by this object with wavelength between 499 nm and 500 nm is U₁ and between 999 nm and 1000 nm is $U_{2}$ . The Wien constant, b = 2.80 x 10⁶ nmK. Then

Moderate

A

$U_{1} = 0$
B

$U_{2} = 0$
C

$U_{1} > U_{2}$
D

$U_{2} > U_{1}$

Solution

$λ_{m} T = b or λ_{m} = \frac{b}{T} = \frac{2 \cdot 80 \times 10^{6}}{2800} = 1000 nm Hence, U_{2} is maximum . Thus, U_{2} > U_{1}$

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