A spherical body radiates 300W power at 650K. If the radius were halved and temperature doubled, then find the power radiated.
A
600W
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B
900W
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C
300W
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D
1200W
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Solution
The correct option is D1200W Given, Power radiated (P1)=300W Temperature (T1)=650K By stefan's law Power radiated (P1)=AσϵT4=σ(4πr2)ϵT4 When radius is halved and temperature is doubled. Power radiated (P2)=σ[4π(r2)2]ϵ(2T)4 =4P1 =4×300=1200W