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Q.

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
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