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

Question

Two spheres of same size are made of same material 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 solid one. (C) Solid sphere will expand more than hollow one. (D) Hollow sphere will expand double that of solid one

Tardigrade Admin · Accepted Answer

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{Δ V _{solid}}{V _{solid}} = \frac{Δ V _{hollow}}{V _{hollow}} = γ Δ T

Therefore we can say both sphere will expand same, because material used for making both of them are same.

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

Both spheres will expand equally.

Hollow sphere will expand more than solid one.

Solid sphere will expand more than hollow one.

Hollow sphere will expand double that of solid one

Here, we know that both the body is made up of same material, hence its orientation will do not affect it's expansion. Hence, Vsolid ​ΔVsolid ​​=Vhollow ​ΔVhollow ​​=γΔT Therefore we can say both sphere will expand same, because material used for making both of them are same.