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