Question

Choose the wrong statements from the following.

Two spheres made of the same material have the same diameter. One sphere is hollow and the other is solid. If they are heated through the same range of temperature, Then:

• A. Both spheres will expand equally.
• B. Hollow sphere will expand more than solid one.
• C. Solid sphere will expand more than hollow one.
• D. Solid sphere will expand three times that of hollow sphere.

Answer 1

Answer: (B), (C), (D)

The correct options are
B Hollow sphere will expand more than solid one.
C Solid sphere will expand three times that of hollow sphere.
D Solid sphere will expand more than hollow one.

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.