The black body spectrum of an object $$O1$$ is such that its radiant intensity (i$$.e. intensity per unit wavelength $$interval) is maximum at a wavelength of $$200$$ nm. Another object $$O2$$ has the maximum radiant intensity at $$600nm$$. The ratio of power emitted per unit area by source $$O1$$ to that of source $$O2$$ is

Question

The black body spectrum of an object $$O1$$ is such that its radiant intensity (i$$.e. intensity per unit wavelength $$interval) is maximum at a wavelength of $$200$$ nm. Another object $$O2$$ has the maximum radiant intensity at $$600nm$$.  The ratio of power emitted per unit area by source $$O1$$ to that of source $$O2$$ is

Infinity Learn · Accepted Answer

From Wien's displacement law,λ$$mT=b$$⇒λ$$m=bT$$                  …(i)From$$ Stefan's law, E∝$$T4$$⇒ $$E1E2=T1T24=$$λ$$m2$$λ$$m14$$         [By Eq. $$(i)]⇒ $$E1E2=6002004$$⇒$$E1$$:$$E2=81$$:$$1$$

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The black body spectrum of an object O1 is such that its radiant intensity (i.e. intensity per unit wavelength interval) is maximum at a wavelength of 200 nm. Another object O2 has the maximum radiant intensity at 600nm. The ratio of power emitted per unit area by source O1 to that of source O2 is

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