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)
$\alpha t$
$\frac{1}{2} \alpha t$
$\alpha t \times 86400$
$\frac{1}{2} \alpha t \times 86400$
One kilogram of ice at $0\,^oC$ is mixed with one kilogram of water at $80\,^oC$. Temperature of mixture is ........ $^oC$ (specific heat of water $= 4200\,J\,kg^{-1}\,K^{-1}$ and latent heat of ice $= 336\,KJ \,kg^{-1}$ )
The coefficient of apparent expansion of a liquid when determined using two different vessels $A$ and $B$ are ${\gamma _1}$ and ${\gamma _2}$ respectively. If the coefficient of linear expansion of vessel $A$ is $\alpha $, the coefficient of linear expansion of vessel $B$ is
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
The temperature of a body on Kelvin scale is found to be $X\;K$. When it is measured by a Fahrenheit thermometer, it is found to be ${X^0}F$. Then $X$ is
Two substances $A$ and $B$ of equal mass $m$ are heated at uniform rate of $6\,cal\,s^{-1}$ under similar conditions. A graph between temperature and time is shown in figure. Ratio of heat absorbed $H_A/H_B$ by them for complete fusion is