Fluids Test - 5...

A metal sphere connected by a string is dipped in a liquid of density ρ_ρ as shown in figure. The pressure at the bottom of the vessel will be, (p₀ atmospheric pressure)

Two soap bubbles of radii r₁ and r₂ equal to 4 am and 5 sm are touching each other over a common surface S₁S₂ (shown in figure). Its radius will be

A piece of ice is floating in a beaker containing water when ice melts the temperature falls from 20°C to 4°C, level of water

The work done in blowing a bubble of radius is W, then the work done in making a bubble of radius 2R from that solution is

When the system shown in the adjoining figure is in equilibrium and if the areas of cross section of the smaller piston and bigger piston are a and 10 a mass on smaller and bigger pistons are  m amd M, then

A wooden block, with a coin placed on its top, floats in water as shown in fig. the distance l and h are shown there. After some time the coin falls into the water. Then

What is the velocity v of a metallic ball of radius r failing in a tank of liquid at the instant when its acceleration is one-half that of a freely falling body? (The densities of metal and of liquid are ρ and σ respectively, and the viscosity of the liquid is h)

A tank is filled with water upto a height H. Water is allowed to come out of a hole P in one pf the walls at a depth D below the surface of water. Express the horizontal distance x in terms of H and D

A U-tube od uniform cross section as shown in figure is partially filled with a liquid I. Another liquid II which does not mix with liquid I is poured into one side. It is found that the liquid levels of the two sides of the tube are the same, while the level of liquid I has risen by 2cm. If the specific gravity of liquid I is 1.1 the specific gravity of liquid II must be

A tube of length h (which is wide enough so that surface tension effects can be neglected) is filled with air and closed at one end is lowered into a tank of mercury to a depth h as shown; so that mercury rises a distance x into the tube. If the mercury barometer also reads 'h', then