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 ?

Question

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 ? (A) U3 = 0 (B) U1 > U2 (C) U2 > U1 (D) U1 = 0

Tardigrade Admin · Accepted Answer

Maximum amount of emitted radiation corresponding to λm = (b/T) λm = (2.88 × 106 nmK/5760K) = 500 nm From the graph U1 < U2 > U3

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, $b = 2.88 \times 1 0^{6} nm K$ . Which of the following is correct ?

$U_{3} = 0$

$U_{1} > U_{2}$

$U_{2} > U_{1}$

$U_{1} = 0$

Maximum amount of emitted radiation corresponding to $λ_{m} = \frac{b}{T}$
$λ_{m} = \frac{2.88 \times 1 0 ^{6} nm K}{5760 K} = 500 nm$
From the graph $U_{1} < U_{2} > U_{3}$

Q. 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 ?

U3​=0

U1​>U2​

U2​>U1​

U1​=0