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Q.

Ratio of radii of two cylinders is 1 : 2 and that of their lengths is 2 : 3. The cylinders are heated to the same temperature and allowed to cool in the same surrounding. Then the ratio of their initial rate of cooling is

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answer is 3.

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Detailed Solution

ms−dθdt  =  e.σ A.  θ4−θo4⇒    πr2l.ρs−dθdt  =  e.σ 2πrlθ4−θo4∴     −dθdt  =  2 e.σ θ4−θo4sρ  r ∴    R1R2=  r2r1=2.
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Ratio of radii of two cylinders is 1 : 2 and that of their lengths is 2 : 3. The cylinders are heated to the same temperature and allowed to cool in the same surrounding. Then the ratio of their initial rate of cooling is