Deduce an expression for the pressure at depth inside a liquid.

Deduce expressions for the excess pressure inside a : (i) liquid drop, (ii) soap bubble.

Deduce an expression for the potential energy stored in a parallel plate capacitor.

With the help of gas laws, deduce an expression for the gas equation. What is the utility of the gas equation ?

Deduce an expression for the magnetic dipole moment of an electron orbiting around the central nucleus.

Complete the following sentences: (a) Pressure at a depth h in a liquid of density rho is …...... (b) Pressure is …... In all direction about a point in a liquid. (c ) Pressure at all points at the same depth is …. (d) Pressure at a point inside a liquid is ....... to its depth. (e ) Pressure of a liquid at a given depth is ....... to the density of liquid.

Following are some statements about buoyant force: (Liquid is of uniform density) (i) Buoyant force depends upon orientation of the concerned body inside the liquid. (ii) Buoyant force depends upon the density of the body immersed. (iii) Buoyant force depends on the fact whether the system is on moon or on the earth. (iv) Buoyant force depends upon the depth at which the body (fully immeresed in the liquid) is placed inside the fluid. Of these statements:

The absolute pressure at a depth h below the surface of a liquid of density rho is [Given P_(a) = atmospheric pressure, g = acceleration due to gravity]

When is the pressure inside the bottle higher?

The density of water at the surface of ocean is rho . If the bulk modulus of water is B , then the density of ocean water at depth, when the pressure at a depth is alphap_(0) and p_(0) is the atmospheric pressure is

A ball of density d is dropped on to a horizontal solid surface. It bounces elastically from the surface and returns to its original position in a time t_1 . Next, the ball is released and it falls through the same height before striking the surface of a liquid of density of d_L (a) If dltd_L , obtain an expression (in terms of d, t_1 and d_L ) for the time t_2 the ball takes to come back to the position from which it was released. (b) Is the motion of the ball simple harmonic? (c) If d=d_L , how does the speed of the ball depend on its depth inside the liquid? Neglect all frictional and other dissipative forces. Assume the depth of the liquid to be large.