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Two spheres A and B have same radius but heat capacity of A is greater than that of B. The surface of both are painted black. They are heated to the same temperature and allowed to cool. Then

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Initially B cools faster than A

Initially A cools faster than B

Initially both A and B cool at the same rate

rate of cooling is initially more for 'A' but after some time rate of cooling is more for 'B'

answer is B.

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Detailed Solution

in the same condition rate of loss of heat will be same for both

$\frac{d Q}{d t} i s c o n s \tan t = m s \frac{d θ}{d t}$
$\frac{d θ}{d t} i s i n v e r s e l y p r o p o r t i o n a l t o m s o r t h e r m a l c a p a c i t y$

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