Question

When a metal sphere is heated maximum percentage increase occurs in its :

• A. Density
• B. Surface area
• C. Radius
• D. Volume

Answer 1

The correct option is D Volume

The coefficient of volume expansion ($\gamma$) is twice as that of area expansion ($\beta$) and thrice as that of linear expansion ($\alpha$). Hence maximum percentage increase will be due to the volume.
i.e., $\gamma =2\beta$ and $\gamma =3\alpha$
(a) Density decreases with increase in temperature.
(b) Increase in surface area is area expansion.
(c) increase in radius is linear expansion.