Comparing Cooling Rates of Solid and Hollow Spheres

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    Cooling Solid Spheres
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SUMMARY

The discussion centers on the cooling rates of solid and hollow spheres of identical radius when heated to the same temperature. It is established that both spheres emit the same power at the same temperature; however, the hollow sphere has a smaller heat capacity. Consequently, the hollow sphere cools at a faster rate than the solid sphere due to its ability to lose heat more rapidly despite both starting at the same temperature.

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vkash
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There are two sphere of same radius but one is solid and other is hollow. Both are heated to same temperature(greater than room temperature). which will cool at faster rate?

I think both the spheres will cool at same rate since hollow sphere can't loose it's heat inside it (because internal temperature is also same as that of sphere) so both the spheres have same sink so they should cool at same rate.
however after little time their rate should vary because hollow sphere may have lesser energy..
IS my explanation correct?
 
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You are right: at the same temperature both emits the same power. But the hollow one has smaller heat capacity, so - emitting the same power it cools faster.
 


xts said:
You are right: at the same temperature both emits the same power. But the hollow one has smaller heat capacity, so - emitting the same power it cools faster.

OK!
thanks for confirming...
 

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