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A solid sphere of copper of radius R and...

A solid sphere of copper of radius R and a hollow sphere of the same materail of inner radius r and outer radius A are heated to the same temperature and allowed to cool in the same environment. Which of tehm starts cooling faster?

Text Solution

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As outer radius is same at same temperature, radiation power will be same so we use
`(dQ)/(dt)=ms(dT)/(dt)`
`implies` Rate of cooling `(dT)/(dt)=(1)/(ms)(dQ)/(dt)`
Thus lower mass hollowsphere will cool faster
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