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in Physics by (49.4k points)

A spherical body of radius 0.01m is at 400K. Calculate the energy radiated by the body per second per unit area. Assume the body to be perfect black body.

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From stefan’s law of radiation, amount of heat radiated per second per unit area is

E = σ T4

= 5.67 × 10-8 × (400)4 = 1451.5s-1

The total energy radiated per second is

E = A σ T4

E = P r2 σ T4

= 3.142 × (0.01 )2 × 5.67 × 10-8 × (400)4

= 0.4561s-1.

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