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Four spheres P, Q, R and ,S are of same radius but made of different metals. Their densities are in the ratio 3 : 4 :6 : 5 and specific heats are in the ratio 2 : 5 : 3 : 6. These areinitially kept at same temperature and placed in the same surroundings. The sphere which has the slowest rate of cooling is:

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a

P

b

Q

c

R

d

S

answer is D.

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Detailed Solution

Rate of cooling =σA(T4-T04)mSdQdt=mcdθdtαAT4       mαr3ρ dθdtα1rcρ Ratio of rates=30:9:10:6
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Four spheres P, Q, R and ,S are of same radius but made of different metals. Their densities are in the ratio 3 : 4 :6 : 5 and specific heats are in the ratio 2 : 5 : 3 : 6. These areinitially kept at same temperature and placed in the same surroundings. The sphere which has the slowest rate of cooling is: