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According to Stefan's law of radiation, ...

According to Stefan's law of radiation, a black body radiates energy `sigmaT^(4)` from its unit surface area every second where T is the surface temperature of the black body and `sigma=5.67xx10^(-8)W//m^(2)K^(4)` is known as Stefan's constant. A nuclear weapon may be thought of as a ball of radius 0.5 m. When detonated, it reaches temperature of `10^(6)` K and can be treated as a black body.
Estimate the power it radiates.

Text Solution

Verified by Experts

Power emitted according to Stefan - Boltzmaan law,
`P=sigmaAT^(4)`
`=sigma(4piR^(2))T^(4)`
`=5.67xx10^(-8)xx4xx3.14xx(0.5)^(2)xx(10^(6))^(4)`
`=17.8xx10^(18)`
`~~1.8xx10^(17)" J/s"`
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