Two spheres of radii in the ratio 1 : 2 and densities in the ratio 2 : 1 and of same specific heat, are heated to same temperature and left in the same surrounding. Their rate of cooling will be in the ratio:
Text Solution
Verified by ExpertsThe correct answer is:
B
The formula for rate of cooling is given by 
As, mass 
volume 
density Mass of sphere
where 
is density Mass per unit area
Hence, rate of cooling per unit area must be proportional to 
. here 
is the radius of sphere and 
is the density.
Hence, ratio of rate of cooling for two spheres Is
where 
and 
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