A black body is at a temperature of $$2880$$ K. The energy of radiation emitted by this body with wavelength $$499$$ nm and $$500$$ nm is $$U1$$, between $$999$$ nm and $$1000$$ nm is $$U2$$ and between $$1499$$ nm and $$1500$$ nm is $$U3$$. The Wien's constant b $$=$$ $$2.88$$ x $$106$$ nm K. Then

Question

Infinity Learn · Accepted Answer

According to Wien's displacement law, λ$$mT=b$$  or  λ$$m=b/T$$∴ λ$$m=2.88$$×$$106nm2880K=1000nm$$. This shows that $$U2$$ is maximum.Further, black body spectrum is continuous. Hence, finite radiant energy is emitted at all wavelengths, i e ,$$U1$$≠$$0$$ and $$U3$$≠$$0Thus$$,  $$U2$$>$$U1$$.

A black body is at a temperature of 2880 K. The energy of radiation emitted by this body with wavelength 499 nm and 500 nm is U₁, between 999 nm and 1000 nm is U₂ and between 1499 nm and 1500 nm is U₃. The Wien's constant b = 2.88 x 10⁶ nm K. Then

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A black body is at a temperature of 2880 K. The energy of radiation emitted by this body with wavelength 499 nm and 500 nm is U1, between 999 nm and 1000 nm is U2 and between 1499 nm and 1500 nm is U3. The Wien's constant b = 2.88 x 106 nm K. Then

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A black body is at a temperature of 2880 K. The energy of radiation emitted by this body with wavelength 499 nm and 500 nm is U₁, between 999 nm and 1000 nm is U₂ and between 1499 nm and 1500 nm is U₃. The Wien's constant b = 2.88 x 10⁶ nm K. Then