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A spherical black body with a radius of `12cm` radiates `450W `power at `500K`. If the radius were halved and the temperature doubled, the power radiated in watt would be

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By Stefan's law, power radiated
`E=esigmaAT^4=esigma(4pir^2)T^4`
When radius is halved and temperature is doubled power radiated
`E'=esigma[4pi((r )/(2))^2](2T)^4=4E=4xx450=1800W`
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