MHT CET202620 April 2026Evening ShiftPhysicsThermal Properties of MatterActual
A black body is at temperature of 5780 K. The energy of radiation emitted by the body at wavelength 300 nm is U₁ , at wavelength 500 nm is U₂ and that at 900 nm is U₃ respectively. Wien's constant b = 2.89 10^6 nmK . This shows that
Options
- AU₁ < U₂ < U₃
- BU₁ > U₂ > U₃
- CU₁ U₃
- DU₁ > U₂ < U₃
Correct answer
C. U₁ U₃
Step-by-step solution
Using Wien's displacement law, _m T = b . Substituting the given values: _m = 2.89 10^6 5780 = 500 nm The maximum energy of radiation is emitted at _m = 500 nm . Since U₂ corresponds to the energy at 500 nm , it is the maximum energy. Therefore, U₂ > U₁ and U₂ > U₃ . This gives U₁ U₃ . Answer: U₁ U₃