Mechanical Prop...

A capillary tube with inner cross-section in the form of a square of side a is dipped vertically in a liquid of density $$ \rho $$ and surface tension $$ \sigma $$ which wet the surface of capillary tube with angle of contact $$ \theta $$. The approximate height to which liquid will be raised in the tube is : (Neglect the effect of surface tension at the corners of capillary tube)

The figure shows a crude type of atomizer. When bulb A is compressed, air flows swiftly through tube BC causing reduced pressure in the particles of the vertical tube. The liquid rises in the tube, enters 

In a cylindrical water tank here are two small holes Q and P on the wall at a depth of $$h_1$$ from the upper level of water and at a height of $$h_2$$ from the lower end of the tank, respectively, as shown in the figure. Water coming out from both the holes strike the ground at the same point. The ratio of $$h_1$$ and $$h_2$$ is

A hole is made at the bottom of a tank filled with water (density $$=10^3 kg/m^3)$$. If the total pressure at the bottom of the tank is $$3 atm$$ ($$1 atm=10^5 N/m^2$$), then the velocity of efflux is

Equal volume of two immiscible liquids of densities $$\rho$$ and $$2\rho$$ are filled in a vessel as shown in the figure. Two small holes are punched at depths h/2 and 3h/2 from the surface of lighter liquid. If $$v_1$$ and $$v_2$$ are the velocities of efflux at these two holes, then $$v_1/v_2$$ is:

A cylindrical vessel contains a liquid of density $$\rho$$ up to height h. The liquid is closed by a piston of mass $$m$$ and area of cross section $$A$$. There is a small hole at the bottom of the vessel. The speed $$v$$ with which the liquid comes out of the hole is

A square box of water has a small hole located in one of the bottom corners. When the box is full and sitting on a level surface, complete opening of the hole results in a flow of water with a speed $$v_0$$, as shown in fig. When the box is still half empty, it is tilted by $$45^o$$ so that the hole is at the lowest point. Now the water will flow out with a speed of:

In the figure, the cross-sectional area of the smaller tube is $$a$$ and that of the larger tube is $$2a$$. A block of mass $$m$$ is kept in the smaller tube having the same base area $$a$$, as that of the tube. The difference between water levels of the two tubes is

A tank in filled with water of density $$10^3 kg/m^3$$ and oil of density $$0.9\times 10^3 kg/m^3$$. The height of water layer is $$1 m$$ and that of the oil layer is $$4 m$$. The velocity of efflux from an opening in the bottom of the tank is

In a cylindrical vessel containing liquid of density $$\rho$$, there are two holes in the side walls at heights of $$h_1$$ and $$h_2$$ respectively such that the range of efflux at the bottom of the vessel is same. Find the height of a hole, for which the range of efflux would be maximum.