Pressure

The pressure at the bottom of a tank of water is $3\mathrm{P}$ where $\mathrm{P}$ is the atmospheric pressure. If the water is drawn out till the level of water is lowered by one-fifth, the pressure at the bottom of the tank will now be

A U-tube having a horizontal arm of length $20 \mathrm{cm}$, has a uniform cross-sectional area $1 {\mathrm{cm}}^2$. It is filled with water of volume $60 \mathrm{cc}$. The volume of a liquid of density $4 \mathrm{g} {\mathrm{cc}}^{-1}$ required to be poured in one arm of the U-tube so that no water is left in the horizontal arm of the tube is (take $\mathrm{g}=9.8 \mathrm{m} {\mathrm{s}}^{-2}$)

A liquid of mass $1 \mathrm{kg}$ is filled in a flask, as shown in the figure. The force exerted by the flask on the liquid is

(Take, $g=10 \mathrm{m} {\mathrm{s}}^{-2}$ and neglect the atmospheric pressure)

The area of cross-section of the wider tube shown in figure is $800 {\mathrm{cm}}^2$^​. If a mass of $12 \mathrm{kg}$ is placed on the massless piston, the difference in heights h in the level of water in the two tubes is

A vertical uniform U tube open at both ends contains mercury. Water is poured in one limb until the level of mercury is depressed 2cm in that limb. What is the length of water column when this happens.

In air an object weighs $15 \mathrm{N}$, when immersed completely in water the same object weighs $12 \mathrm{N}$. When immersed in another liquid completely, it weighs $13 \mathrm{N}$. Find The specific gravity of the other liquid

For the system shown in the figure, the cylinder on the left at$L$has a mass of $600 \mathrm{kg}$ and cross-sectional area of $800 {\mathrm{cm}}^2$. The piston on the right, at $S$, has cross-sectional area $25 {\mathrm{cm}}^2$ and negligible weight. If the apparatus is filled with oil$\left(\rho =0.75\mathrm{gm} {\mathrm{cm}}^{-3}\right)$. Find the force $F$required to hold the system in equilibrium

A piston of mass M = 3kg and radius R = 4cm has a hole into which a thin pipe of radius r = 1cm is inserted. The piston can enter a cylinder tightly and without friction, and initially it is at the bottom of the cylinder. 750gm of water is now poured into the pipe so that the piston & pipe are lifted up as shown. Find the height H of water in the cylinder h of water in the pipe

If the dimensions of a physical quantity "Pressure" are given by  $M^a{L}^b{T}^c$ , then the physical quantity will be.

What is atmospheric pressure?

A spherical marble of radius $1 \mathrm{cm}$ is stuck in a circular hole of radius slightly smaller than its own radius (for calculation purpose, both can be taken same) at the bottom of a bucket of height $40 \mathrm{cm}$ and filled with water up to $10 \mathrm{cm}$. If the mass of the marble is $20 \mathrm{g}$, the net force on the marble due to water is close to

In Guericke's experiment to show the effect of atmospheric pressure, two copper hemispheres were tightly fitted to each other to form a hollow sphere and the air from the sphere was pumped out to create vacuum inside. If the radius of each hemisphere is $R$ and the atmospheric pressure is $P$, then the minimum force required (when the two hemispheres are pulled apart by the same force) to separate the hemispheres is

The velocity of water in river is $18 \mathrm{k}\mathrm{m}\mathrm{ }{\mathrm{h}}^{-1}$ near the surface. If the river is $5\mathrm{ }\mathrm{m}$ deep, then the shearing stress between the surface layer and the bottom layer is (coefficient of viscosity of water, $\mathrm{\eta }={10}^{-3} \mathrm{P}\mathrm{a} \mathrm{s}$)

Find the mechanical advantage of the hydraulic lift.

The shear stress of a fluid depends on:

Deduce an expression for the atmospheric pressure at height $\mathrm{h}$ of the atmosphere.

Calculate the height of the earth's atmosphere.

(The standard atmospheric pressure is $1.013\times {10}^5{\mathrm{Nm}}^{-2} ( \mathrm{Pa})$. The atmosphere has a uniform density $\mathrm{\rho }=1.29 {\mathrm{kgm}}^{-3}$)

What are different units of atmospheric pressure?

Which kind of force is cause of shear stress?

Mechanical advantage of a hydraulic lift is directly proportional to the: