A spherical black body with a …
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Sahdev Sharma 8 years, 3 months ago
Let original radius = r
Original temperature = T
Original power radiated = P
According to Stefan-Boltzmann Law, Power radiated by black body = {tex}P = σAT^4=\sigma 4\pi r^2T^4{/tex}
{tex}=> 500 = 4\sigma \pi r^2T^4{/tex}
New radius = {tex}r\over 2{/tex}
New temperature = 2T
New power P` = {tex}4\sigma \pi \times {r^2\over 4}\times 16T^4{/tex}
{tex}4\times (4\sigma \pi r^2T^4)= 4\times P{/tex}{tex}= 4\times 450= 1800{/tex}
Power becomes 1800 W
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