Air is pushed into a soap bubble of radius r to double its radius. If the surface tension of the soap solution is S, the work done in the process is

1. 8 \(\pi\) r² S

2. 12 \(\pi\) r² S

3. 16 \(\pi\) r² S

4. 24 \(\pi\) r² S

If more air is pushed in a soap bubble, the pressure in it

1. decreases

2. increases

3. remains same

4. becomes zero

If two soap bubbles of different radii are connected by a tube,

The figure shows a capillary tube of radius r dipped into water. If the atmospheric pressure is P₀, the pressure at point A is pressure at point A is

1. \(P_{0}\)

2. \(P_{0}+\frac{2 S}{r}\)

3. \(P_{0}-\frac{2 S}{r}\)

4. \(P_{0}-\frac{4 S}{r}\)

The excess pressure inside a soap bubble is twice the excess pressure inside a second soap bubble. The volume of the first bubble is n times the volume of the second where n is

1. 4

2. 2

3. 1

4. 0.125

Which of the following graphs may represent the relation between the capillary rise h and the radius r of the capillary?

1.

2.

3.

4.

Water rises in a vertical capillary tube upto a length of 10 cm. If the tube is inclined at 45°, the length of water risen in the tube will be

1. 10 cm

2. 10\(\sqrt2\)cm

3. 10/\(\sqrt2\)cm

4. none of these

A 20 cm long capillary tube is dipped in water. The water rises up to 8 cm. If the entire arrangement is put in a freely falling elevator, the length of water column in the capillary tube will be

1. 8 cm

2. 6 cm

3. 10 cm

4. 20 cm

Viscosity is a property of:
1. liquids only
2. solids only
3. solids and liquids only
4. liquids and gases only

The force of viscosity is

1. electromagnetic

2. gravitational

3. nuclear

4. weak