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Q.

When a spherical black body of radius r, having surface temperature 127oC is allowed to cool in still air at 27oC, its initial rate of cooling is ‘R'. What will be the initial rate of cooling of a black body having surface temperature 227oC and radius 2r when allowed to cool in the same environment?

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a

3.1050 R

b

2.8512 R

c

1.2832 R

d

1.5542 R

answer is D.

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Detailed Solution

R=−dTdtα1γ(T4−T04)∴ R1R=γ2γ.(500)4−(300)4(400)4−(300)4⇒R1=R2(625−81256−81)=R2544175=1.5542 R
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