$A$ solid metal sphere has a spherical cavity inside it. If the sphere is heated,the volume of the cavity will.....

$A$ pendulum clock keeps correct time at $0\,^{\circ}C$. The thermal coefficient of linear expansion of the material of the pendulum is $\alpha$. If the temperature rises to $t\,^{\circ}C$,then the clock loses per day by (in seconds):

$A$ uniform rod of length $L$ pivoted at one end $P$ is freely rotated in a horizontal plane with an angular velocity $\omega$ about a vertical axis passing through $P$. If the temperature of the system is increased by $\Delta T$, the angular velocity becomes $\frac{\omega}{2}$. If the coefficient of linear expansion of the rod is $\alpha$ (where $\alpha \ll 1$), then $\Delta T$ will be:

The moment of inertia $I$ of a uniform rod about a perpendicular bisector increases to $I+\Delta I$,if the temperature is increased slightly by $\Delta T$. If the coefficient of linear expansion is $\alpha$,then $\frac{\Delta I}{I}$ is (Assume $\frac{\Delta T}{T} \ll 1$)

Two rods of different metals have coefficients of linear expansion $\alpha_1$ and $\alpha_2$ respectively. Their respective lengths are $L_1$ and $L_2$. At all temperatures,$(L_2 - L_1)$ remains the same. The correct relation is:

When a copper ball is heated,which of the following will show the maximum percentage increase?