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Q.

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

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a

1296r0/35

b

81r0/16

c

16 r0

d

4 r0

answer is A.

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Detailed Solution

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