Mechanical Prop...

An air bubble rises from the bottom of a lake to the surface if its radius increases by 200% and atmospheric pressure are equal to a water column of height H, then depth of the lake is (assume Temperature to be constant at top and bottom of the lake)

Calculate the mass of lead which will be required to just submerge in water a block of wood weighing $$50$$ g (a) when lead is attached underneath, (b) when lead is placed on the top of the block. Take sp. gravity of lead = $$11.3$$ and of wood = $$0.75$$.

The pressure exerted by a force of $$50 \ N$$, normal to the nail of area $$1 \ mm^2$$ is

A stream of water escapes from a hole $$2\ m$$ above the base of a tank and strikes the ground at a horizontal distance of $$6\ m$$. The depth of the hole from the free surface of water is

There is a hole at the bottom of a large open vessel. If water is filled upto a height $$h$$, it flows out in time $$t$$. If water is filled to a height $$4h$$, it will flow out in time.

A water tank is filled with water up to a height $$8 \:m$$ a hole is made in the tank wall at a depth $$3\: m$$ from the surface of water. Then the time taken to reach the ground

The value of $$l$$ is 

A water tank is filled with water up to a height H  hole is made in the tank wall at a depth h from the aurface of water. Then the volcity of efflux

Given figure shows a large closed cylindrical tank containing water. Initially, the air trapped above the water surface has a height $$h_0$$ and pressure $$2P_0$$ where $$P_0$$ is the atmospheric pressure. There is a hole in the wall of the tank at a depth $$h_1$$ below the top from which water comes out. A long vertical tube is connected as shown
Find the height $$h_2$$ of the water in the long tube above the top initially 

The given table shown properties of four cells system $$A, B, C$$ and $$D$$. The maxium rate of inward diffusion of water will be observed in which of these system?