Question

Two spheres of same size are made of the same metal, but one is hollow and the other one is solid. They are heated to the same temperature, then

• A. Hollow sphere will expand more than the solid one.
• B. Solid sphere will expand more than the hollow one.
• C. Both the spheres will expand equally.
• D. None of these

Answer 1

The correct option is C Both the spheres will expand equally.

Here, we know that both the bodies are made up of same material, hence its orientation will not affect its expansion.
Hence,$\frac{\Delta V_{solid}}{V_{solid}}=\frac{\Delta V_{hollow}}{V_{hollow}}=\gamma \Delta T$
Therefore, we can say both the spheres will expand equally because material used for making both of them were same.