Question

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

• A. both spheres will expand equally
• B. hollow sphere will expand more than the solid one
• C. solid sphere will expand more than the hallow one
• D. none of these

Answer 1

Answer: (A)

both spheres will expand equally

Here, we know that both the body is made up of same material, hence its orientation will do not affect it's expansion.
Hence,$\frac{{\Delta V}_{solid}}{V_{solid}}=\frac{{\Delta V}_{hollow}}{V_{hollow}}=\gamma \Delta T$
Therefore we can say both sphere will expand same, because material used for making both of them are same.