Water is filled to a height $H$ behind a dam of width $w$. The resultant force on dam is ..............
$\rho g w H^2$
$\frac{1}{2} \rho g w H^2$
$2 p g w H^2$
$4 \rho g w H^2$
A barometer kept in an elevator accelerating upwards with acceleration $\mathrm{a}$. Find most likely pressure inside the elevator.
There is a circular tube in a vertical plane. Two liquids which do not mix and of densities $d_1$ and $d_2$ are filled in the tube. Each liquid subtends $90^o$ angle at centre. Radius joining their interface makes an angle $\alpha$ with vertical. Ratio $\frac{{{d_1}}}{{{d_2}}}$ is
The two thigh bones (femures), each of cross-sectional area $10 \,cm ^2$ support the upper part of a person of mass $50 \,kg$. The average pressure sustained by the femures is ........... $N / m ^2$
A beaker containing a liquid is kept inside a big closed jar. If the air inside the jar is continuously pumped out, the pressure in the liquid near the bottom of the liquid will
A square gate of size $1\,m \times 1\,m$ is hinged at its mid-point. A fluid of density $\rho$ fills the space to the left of the gate. The force F required to hold the gate stationary is