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Two spheres, one solid and other hollow ...

Two spheres, one solid and other hollow are kept in atmosphere at same temperature. They are made of same material and their radii are also same. Which sphere will cool at a faster rate initially?

Text Solution

Verified by Experts

The correct Answer is:
A

In the equations,
`-(dT)/(dt) = (eAsigma)/(mc) (T^4-T_(0)^4)`
Only mass is different. Therefore,
`-(dT)/(dt) prop 1/m`
Mass of hollow sphere is less. So, hollow sphere will cool at a faster rate initially.
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Knowledge Check

  • If a solid and a hollow conducting sphere have same radius then

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    both hollow and solid sphere cools equally
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    solid sphere cools more quickly .
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    none of the statement is true.
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