First slide

Thermal expansion

Question

A solid sphere and a hollow sphere of same material have same mass. When they are heated by 50°C, increase in volume of solid sphere is 5 c.c. The expansion of hollow sphere is

Easy

A

5 c.c.
B

more than 5 c.c.
C

Less than 5 c.c.
D

None

Solution

Volume V =
$\large \frac{4\pi}{3}\;r^3$
Also due to a rise in temperature Δt , final radius rt =r0 (1+αΔt)
Since the spheres have same mass and they are made of same material , the hollow sphere has larger radius.Hence its expansion will be more.

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