Question

a hollow sphere and a solid sphere of equal radius are heated to same temperature , what will happen to
the new radius?

Answer 1

Answer:

New radius of both spheres are same.

Explanation:

We are given that a hollow sphere and a solid sphere .

Let r be the radius of hollow sphere and r' be the radius of solid sphere .

According to question

$r=r'$

When both spheres are heated at the same temperature then the spheres will extend .

Volume of sphere =$\frac{4}{3}\pi r^3$

Volume of both spheres are same because initial radius are same before heating.

After heating , the volume of increases at the same rate because volume of both spheres are same and therefore, radius of spheres will be change at the same radius.

Hence, after heating , new radius of both spheres will be same.