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All bodies radiate heat in proportion to the fourth power of temperature T. If a body (coated black) at 400 K surrounded by atmosphere at 300 K has cooling rate r0, the same body at 900 K, surrounded by the same atmosphere, will have cooling rate closest to

a
1296r0/35
b
81r0/16
c
16 r0
d
4 r0

detailed solution

Correct option is A

According to Stefan's law r0=σ4004−3004    and  r=σ9004−3004∴ r=9004−30044004−3004r0=1296r0/35

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