There are two spheres of same materials and radiu

Question

There are two spheres of same materials and radius . One is solid and the other is hollow . If they are heated to the same temperature ,the expansions of objects are

Arun · Accepted Answer

Dear Lakshya

(i) As thermal expansion of isotropic solids is similar to true photographic enlargement, the expansion of a cavity is same as if it were a solid body of the same material i.e. ∆V = $\gamma$V ∆T. As here V, $\gamma$ and ∆T are same for both solid and hollow spheres, so the expansions of both will be equal.
(ii) If same amount of heat is given to the two spheres, then due to lesser mass, rise in temperature of hollow sphere will be more (as ∆T = Q/Mc) and hence the expansion will bemore as ∆V = $\gamma$V ∆T.

Regards

Arun(askIITians forum expert)

Thermal Physics> There are two spheres of same materials a...

There are two spheres of same materials and radius . One is solid and the other is hollow . If they are heated to the same temperature ,the expansions of objects are

Lakshyashrivastava , 7 Years ago

Arun

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Thermal Physics> There are two spheres of same materials a...

There are two spheres of same materials and radius . One is solid and the other is hollow . If they are heated to the same temperature ,the expansions of objects are

Lakshyashrivastava , 7 Years ago

Arun

LIVE ONLINE CLASSES

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