The power radiated by a black body is P and it radiates maximum energy at wavelength, λ$$0$$. If the temperature of the black body is now changed so that it radiates maximum energy at wavelength $$34$$ λ$$0$$, the power radiated by it becomes nP. The value of n is

Question

The power radiated by a black body is P and it radiates maximum energy at wavelength, λ$$0$$. If the temperature of the black body is now changed so that it radiates maximum energy at wavelength $$34$$ λ$$0$$, the power radiated by it becomes nP. The value of n is

Infinity Learn · Accepted Answer

P $$=$$ σ$$AT4$$    ⇒ P directly proportional to $$T4According$$ to Wein's law T is directly proportional $$1$$λm⇒P directly proporitonal to $$(1$$λ$$m)4$$    ⇒  $$P2P1$$ $$=$$ $$($$λ$$m1$$λ$$m2)4$$  ⇒    $$P2P1$$ $$=$$ $$($$λ$$034$$λ$$o)4nPP$$ $$=$$ $$25681$$     ⇒  n  $$=$$ $$25681$$

The power radiated by a black body is P and it radiates maximum energy at wavelength, $λ_{0}$ . If the temperature of the black body is now changed so that it radiates maximum energy at wavelength $\frac{3}{4} λ_{0}$ , the power radiated by it becomes nP. The value of n is

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The power radiated by a black body is P and it radiates maximum energy at wavelength, λ0. If the temperature of the black body is now changed so that it radiates maximum energy at wavelength 34 λ0, the power radiated by it becomes nP. The value of n is

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Ready to Test Your Skills?

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The power radiated by a black body is P and it radiates maximum energy at wavelength, $λ_{0}$ . If the temperature of the black body is now changed so that it radiates maximum energy at wavelength $\frac{3}{4} λ_{0}$ , the power radiated by it becomes nP. The value of n is