If the length of the pendulum in pendulum clock increases by $0.1\, \%$, then the error in time per day is: (in $s$)

A beaker is completely filled with water at $4°C$. It will overflow if

If the length of a cylinder on heating increases by $2\%$, the area of its base will increase by ....... $\%$

The real coefficient of volume expansion of glycerine is $0.000597\, per°C$ and linear coefficient of expansion of glass is $0.000009\, per°C.$ Then the apparent volume coefficient of expansion of glycerine is

Coefficient of real expansion of mercury is $ 0.18 \times 10^{-3}{°C^{-1}}$. If the density of mercury at $0°C$ is $13.6\, gm/cc$. its density at $473K$ is

A pendulum clock keeps correct time at $0°C$. Its mean coefficient of linear expansions is $\alpha /^\circ C$, then the loss in seconds per day by the clock if the temperature rises by $t°C$ is