A flask of volume $10^3\ cc$ is completely filled with mercury at $0\,^oC$. The coefficient of cubical expansion of mercury is $180 \times 10^{-6}/^oC$ and that of glass is $40 \times 10^{-6}/^oC$. If the flask is now placed in boiling water at $100\,^oC$, ........ $cc$ mercury will overflow
$7$
$14$
$21$
$28$
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}}$)
$2\,kg$ of metal at $100\,^oC$ is cooled by $1\,kg$ of water at $0\,^oC$ . If specific heat capacity of metal is $\frac {1}{2}$ of specific heat capacity of water, final temperature of mixture would be
The coefficient of apparent expansion of mercury in a glass vessel is $153 × 10^{-6}{°C^{-1}}$ and in a steel vessel is $144 × 10^{-6}{°C^{-1}}$. If $\alpha$ for steel is $12 × 10^{-6}{°C^{-1}}$, then that of glass is
‘Stem Correction’ in platinum resistance thermometers are eliminated by the use of
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 ?