The diagram below shows a hydraulic lift. A force is applied at side $1$ and an output force is generated at side $2$ . Which of the following is true?
The force at side $1$ is greater than the force at side $2$
The force at side $1$ is less than the force at side $2$
The pressure at side $1$ is greater than the force at side $2$
The pressure at side $1$ is less than the pressure at side $2$
A homogeneous solid cylinder of length $L (L < H/2)$. Cross sectional area $A/5$ is immersed such that it floats with its axis vertical at the liquid-liquid interface with length $L/4$ in the denser liquid as shown in the fig. The lower density liquid is open to atmosphere having pressure $P_0$. Then density $D$ of solid is given by
A spherical drop of water has $1\, mm$ radius. If the surface tension of water is $70\times10^{-3}\, N/m$ . Then the difference of pressures between inside and outside of the spherical drop is :
A liquid is kept in a cylindrical vessel which is being rotated about a vertical axis through the centre of the circular base. If the radius of the vessel is $r$ and angular velocity of rotation is $\omega $ , then the difference in the heights of the liquid at the centre of the vessel and the edge is
The work done in blowing a soap bubble of radius $0.2\,m$, given that the surface tension of soap solution is $60\times10^{-3}\, N/M$ is
A manometer connected to a closed tap reads $4.5\times10^5\, pascal$. When the tap is opened the reading of the manometer falls to $4\times10^5\, pascal$. Then the velocity of flow of water is ........ $ms^{-1}$