A massless inextensible string in the form of a loop is placed on a horizontal film of soap solution of surface tension T. If film is pierced inside the loop and it converts into a circular loop of diameter d, then the tension produced in the string is

1. Td

2. $\mathrm{\pi Td}$

3. ${\mathrm{\pi d}}^2\mathrm{T}$

4. $\frac{{\mathrm{\pi d}}^2\mathrm{T}}{4}$

A tank is filled with water to a height H. A hole is made in one of the walls at a depht D below the water surface. The distance x from the foot of the wall at which the stream of water coming out the tank strikes the ground is given by

1. $\mathrm{x}=2{\left[\mathrm{D}\right(\mathrm{H}-\mathrm{D}\left)\right]}^{1/2}$

2. $\mathrm{x}=2{\left(\mathrm{gD}\right)}^{1/2}$

3. $\mathrm{x}=2{\left[\mathrm{D}\right(\mathrm{H}+\mathrm{D}\left)\right]}^{1/2}$

4. None of these

In streamline flow of liquid, the total energy of liquid is constant at:

1. all points

2. inner points

3. outer points

4. none of the above

A good lubricant should have:

1. high viscosity

2. low viscosity

3. moderate viscosity

4. high density

Water is flowing in a horizontal pipe of non-uniform cross-section. At the most contracted place of the pipe:

1. velocity of water will be maximum and pressure minimum.

2. pressure of water will be maximum and velocity minimum.

3. both pressure and velocity of water will be maximum.

4. both pressure and velocity of water will be minimum.

Bernoulli's theorem is based upon:

1. Faraday's law

2. Conservation of energy

3. Conservation mass

4. None of these

A tank has an orifice near its bottom. The volume of the liquid flowing per second out of the orifice does not depend upon:

Pressure is a scalar quantity because:

1. it is the ratio of force to area and both force and area are vectors.

2. it is the ratio of the magnitude of the force to area.

3. it is the ratio of the component of the force normal to the area.

4. it does not depend on the size of the area chosen.

Along a streamline:

1. the velocity of a fluid particle remains constant.

2. the velocity of all fluid particles crossing a given position is constant.

3. the velocity of all fluid particles at a given instant is constant.

4. the speed of a fluid particle remains constant.

With increase in temperature, the viscosity of:

1. gases decreases.

2. liquids increases.

3. gases increases.

4. none of these.