Mechanical Prop...

In a vessel of water a hole is made at a depth of $$3.5\ m$$ from the free surface. The velocity of efflux will be:

Water flows in a stream line manner through a capillary tube of radius a. The pressure difference being P and the rate of flow is Q. If the radius is reduced to $$\cfrac { a }{ 4 } $$ and the pressure is increased to 4P, then the rate of flow becomes

The angle of contact at the interface of water glass is $${0^ \circ }$$, Ethyl-alcohol glass is $${0^ \circ }$$ Mercury glass is $${140^ \circ }$$ and Methyl iodide is $${30^ \circ }$$. A glass capillary is put in a trough containing one of these for liquids it is observed that the meniscus is convex. the liquid in the trough is :      

A tank is filled with two immiscible  liquids of densities $$2\rho$$ and $$\rho$$ each of height $$h$$. Two holes are made to the side wall at $$\dfrac{h}{2}$$ and $$\dfrac{3h}{2}$$ from upper surface of the liquid, then the ratio of velocity of efflux of the liquids through the holes

A cylindrical vessel has some water in it. A small hole at the bottom is now opened. The ratio of times it takes to become $$75\%$$ empty to completely empty is

Water is filled upto same height in two identical closed containers $$A$$ and $$B$$. Container $$A$$ has vacuum over the water while container $$B$$ has air over the water. At the same depth of both the containers there is an opening on which identical balloons $$A$$ and $$B$$ are attached as shown in the figure given below. Then

if the blood vessels in a human being acted as simple pipes what would be the difference in blood pressure between the blood in a $$1.8\ m$$ tall man's feet and in his head when he is standing? Assume the spacific gravity of blood to be $$1.06$$.

If $$A$$ denotes the area of free surface of a liquid and $$h$$ the depth of an orifice of area of cross-section $$a$$, below the liquid surface, then the velocity $$v$$ of flow through the orifice is given by:

The angle of contact at the interface of water-glass is $$0^\circ $$. Ethyl alcohol-glass is $$0^\circ $$. Mercury-glass is $$140^\circ $$ and Methyl iodide-glass is $$30^\circ $$. A glass capillary is put in trough containing one of these four liquids. It is observed that the meniscus is convex. The liquid in the trough is: 

A balloon of volume $$1500{m}^{3}$$ and weighing $$1650 kg$$ with all its equipment is filled with helium (density $$0.2 kg/{m}^{3}$$). if the density of air is $$1.3 kg/{m}^{3}$$, the pull on the rope tied to the ballon will be