The power radiated by a black body is P and it radiates maximum energy around the wavelength $\lambda_{\omicron}$ .If the temperature of the black body is now changed so that it radiates maximum energy around wavelength $\frac{3}{4}$ $\lambda_{\omicron}$ , the power radiated by it will increase by a factor of :-
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Question

The power radiated by a black body is P and it radiates maximum energy around the wavelength λ ο \lambda_{\omicron} λ ο .If the temperature of the black body is now changed so that it radiates maximum energy around wavelength 3 4 \frac{3}{4} 4 3 λ ο \lambda_{\omicron} λ ο , the power radiated by it will increase by a factor of :-

Physics · Thermodynamics

G1 Physics · Accepted Answer

Use Stefan-Boltzmann law P=eσA(T⁴-Tₛ⁴), Wien's law λₘT=b, or Newton's law of cooling dθ/dt=-k(θ-θₛ), as applicable. Evaluating the given data/statements gives 256/81. Therefore the correct answer is D.