$540\, g$ of ice at $0\,^oC$ is mixed with $540\, g$ water at $80\,^oC$ . The final temperature of the mixture is
$0\,^oC$
$40\,^oC$
$80\,^oC$
less than $0\,^oC$
A cylindrical rod with one end in a steam chamber and the outer end in ice results in melting of $0.1 \,\,gm$ of ice per second. If the rod is replaced by another with half the length and double the radius of the first and if the thermal conductivity of material of second rod is $1/4$ that of first, the rate at which ice melts is $gm/sec$ will be
The rods of length $L_1$ and $L_2$ are made of materials whose coefficients of linear expansion are $\alpha _1$ and $\alpha _2$. If the difference between the two lengths is independent of temperatures
A cylindrical metal rod of length $L_0$ is shaped into a ring with a small gap as shown. On heating the system
Two large holes are cut in a metal sheet. If this is heated, distances $AB$ and $BC$, (as shown)
A liquid having coefficient of cubical expansion $\gamma $ is filled in the container having coefficient of linear expansion $\alpha $. If on heating the liquid overflows, then which of the following relations is correct?