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Question: Answered & Verified by Expert
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?
PhysicsThermal Properties of MatterNEETNEET 2016 (Phase 1)
Options:
  • A U1=0
  • B U3=0
  • C U1>U2
  • D \(\mathrm{U}_3 < \mathrm{U}_2 > \mathrm{U}_1\)
Solution:
2424 Upvotes Verified Answer
The correct answer is: \(\mathrm{U}_3 < \mathrm{U}_2 > \mathrm{U}_1\)

Given

Temperature =5760 K

Wien's constant b=2.88×106 nm K

According to Wien's displacement law, maximum amount of emitted radiation corresponding to  λm=bT

λm=2.88×106 nm K5760K=500 nm

From the graph, U1<U2>U3

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