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 $$=$$ $$2.88$$ X $$106$$ nmK. 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 $$=$$ $$2.88$$ X $$106$$ nmK. Which of the following is correct?

Infinity Learn · Accepted Answer

Given, temperature, $$T1$$  $$=$$ $$5760$$ KSince, it is given that 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 $$U3$$. ∵ According to Wien's law, we getλ$$mT=bwhere$$, b  $$=$$ Wien's constant $$=$$ $$2.88$$ x $$106$$ nmK⇒λ$$m=bT$$⇒λ$$m=288$$×$$106nmK5760K$$⇒λ$$m=500nm$$∵λ$$m=$$ wavelength corresponding to maximum energy,  so $$U2$$ >$$U1$$.

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 X 10⁶ nmK. Which of the following is correct?

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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 X 106 nmK. Which of the following is correct?

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Ready to Test Your Skills?

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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 X 10⁶ nmK. Which of the following is correct?