A pendulum clock keeps correct time at $0\,^oC$. The thermal coefficient of linear expansion of the material of the pendulum is $\alpha $. If the temperature rises to $t\,^oC$, then the clock loses per day by (in second)
$\alpha t$
$\frac{1}{2}\alpha t$
$\alpha t \times 86400$
$\frac{1}{2}\alpha t \times 86400$
$50\,g$ of copper is heated to increase is temperature by $10\,^oC$. If the same quantity of heat is given to $10\,g$ of water, the rise in its temperature is ........ $^oC$ (Specific heat of copper $= 420\,J-kg^{-1}\,^oC^{-1}$ )
‘Stem Correction’ in platinum resistance thermometers are eliminated by the use of
If an electric heater is rated at $1000\,W$, then the time required to heat one litre of water from $20\,^oC$ to $60\,^oC$ is
The volume of a metal sphere increases by $0.15\%$ when its temperature is raised by $24\,^oC$.The coefficient of linear expansion of metal is
$540\, g$ of ice at $0\,^oC$ is mixed with $540\, g$ water at $80\,^oC$ . The final temperature of the mixture is