Water falls from a height $500m$. What is the rise in temperature of water at bottom if whole energy remains in the water ........... $^\circ \mathrm{C}$

The coefficients of thermal expansion of steel and a metal $X$ are respectively $12 × 10^{-6}$ and $2 × 10^{-6} per^o C$. At $40^o C$, the side of a cube of metal $X$ was measured using a steel vernier callipers. The reading was $100 \,\,mm$.Assuming that the calibration of the vernier was done at $0^o C$, then the actual length of the side of the cube at $0^o C$ will be

Give temperature $^oC$, $^oF$ and $K$ when density of water is maximum.

A circular metallic ring of radius $R$ has a small gap of width $d$. The coefficient of thermal expansion of the metal is $\alpha$ in appropriate units. If we increase the temperature of the ring by an amount $\Delta T$, then width of the gap

A rod of length $2m$ rests on smooth horizontal floor. If the rod is heated from $0^o C$ to $20^o C$. Find the longitudinal strain developed? $(\alpha = 5 × 10^{-5}/^o C)$

A gas follows $VT^2 =$ constant. The coefficient of volume expansion of the gas is