A black body radiated maximum energy around a particular wavelength at a given temperature. If the temperature of the black body is now changed so that it radiates maximum energy around a wavelength n time the original wavelength (n<1) then power radiate by it will increases by a factor of
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a
1n2
b
n2
c
1n4
d
n4
answer is C.
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Detailed Solution
λ0T0 = b P = CT04 or λ1T1 = b ⇒n λ0T1=λ0 T0So, T1 = Ton P1 = CT14 = C(Ton)4 = Pn4