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?
- U1 > U2
- U2 > U1
- U1 = 0
- U3 = 0
Answer
(2) U2 > U1
Solution
Wien's displacement law: m T = b
⇒ m = 2.88 1065760 = 500 nm
∵ The emitted energy is maximum at m = 500 nm, and a black body emits at all wavelengths (U1 0, U3 0)
∴ U2 is the largest ⇒ U2 > U1
Answer: (2)