Question

A solid sphere and a hollow sphere of same material have same mass. When they are heated by ${50}^{\circ }C$, increase in volume of solid sphere is 5 c.c. The expansion of the hollow sphere is :

• A. 5 c.c.
• B. more than 5 c.c.
• C. less than 5 c.c.
• D. zero

Answer 1

The correct option is B more than 5 c.c.

We know, $v_2=v_1(1+\gamma dt)$
where $\gamma$ $=$ volume coefficient and dt is change in temperature
or, $v_2-v_1=v_1\gamma dt$
So, change in volume is proportional to the initial volume.
Now, for the mass being same, the hollow sphere will have bigger volume.
So, if 5 cc is the increase of volume for the solid sphere, increase of volume will be more than 5 cc for hollow sphere.