The coefficient of superficial expansion of a solid is $2 \times 10^{-5} {°C^{-1}}$. It's coefficient of linear expansion is
$4 \times 10^{-5} {°C^{-1}}$
$3 \times 10^{-5} {°C^{-1}}$
$2 \times 10^{-5} {°C^{-1}}$
$1 \times 10^{-5} {°C^{-1}}$
A metal ball immersed in alcohol weighs ${W_1}$ at $0°C$ and ${W_2}$ at $59°C.$ The coefficient of cubical expansion of the metal is less than that of alcohol. Assuming that the density of metal is large compared to that of alcohol, it can be shown that
A pendulum clock (fitted with a small heavy bob that is connected with a metal rod) is $5\, seconds$ fast each day at a temperature of $15\,^oC$ and $10\,seconds$ slow at a temperature of $30\,^oC$. The temperature at which it is designed to give correct time, is ........ $^oC$
A rail track made of steel having length $10\,m$ is clamped on a railway line at its two ends as shown in figure. On a summer day due to rise in temperature by $20\,^oC$ , it is deformed as shown in figure. Find $x$ (displacement of the centre) if $\alpha _{steel} = 1.2 \times 10^{-5} \,^oC^{-1}$
Two rods of different materials having coefficient of linear expansion $\alpha_1$and $\alpha_2$ and Young's modulii $Y_1$ and $Y_2$ respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of rods. If $\alpha_1:\alpha_2= 2 : 3$, the thermal stress developed in two rods are equal provided $Y_1 : Y_2$ is equal to
What will happen if a rod is tied with fixed supports rigidly at both ends and temperature is increased ?