A cylindrical metal rod of length $L_0$ is shaped into a ring with a small gap as shown. On heating the system
$x$ decreases, $r$ and $d$ increases
$x$ and $r$ increases, $d$ decreases
$x$, $r$ and $d$ all increase
Data insufficient to arrive at a conclusion
The coefficient of apparent expansion of mercury in a glass vessel is $153\times 10^{-6}/\,^oC$ and in a steel vessel is $144\times 10^{-6}/\,^oC.$ If $\alpha $ for steel is $12 \times 10^{-6}/\,^oC,$ then $\alpha $ that of glass is
A steel ball of mass $0.1 kg$ falls freely from a height of $10 m$ and bounces to a height of $5.4m$ from the ground. If the dissipated energy in this process is absorbed by the ball, the rise in its temperature is ........... $^\circ \mathrm{C}$ (Specific heat of steel $ = 460\,Joule - k{g^{ - 1}}^\circ {C^{ - 1}},\;g = 10\,m{s^{ - 2}}$)
A block of ice at $-20\,^oC$ having a mass of $2\,kg$ is added to a $3\,kg$ water at $15\,^oC$. Neglecting heat losses and the heat capacity of the container
Four rods of same material with different radii $r$ and length $l$ are used to connect two reservoirs of heat at different temperatures. Which one will conduct most heat ?
Two holes of unequal diameters $d_1$ and $d_2\, (d_1 > d_2)$ are cut in a metal sheet. If the sheet is heated