If pressure at half the depth of a lake is equal to 2/3^rd the pressure at the bottom of the lake, then the depth of the lake is:

1.	10 m	2.	20 m
3.	60 m	4.	30 m

A spherical drop of water has a radius of 1 mm. If the surface tension of water is $70\times {10}^{-3}$ N/m, the difference in pressures inside and outside the spherical drop is:

In a capillary tube, pressure below the curved surface of the water will be:

If the excess pressure inside a soap bubble is balanced by an oil column of height of \(2\) mm, then the surface tension of the soap solution will be: (radius of the soap bubble, \(r=1\) cm and density of oil, \(d=0.8\) gm/cm³)
1. \(3.9\) N/m
2. $3.9\times {10}^{-2}$ $\mathrm{N}/\mathrm{m}$
3. $3.9\times {10}^{-3}$ $\mathrm{N}/\mathrm{m}$
4. \(3.9\) dyne/m

If the surface tension of water is 0.06 ${\mathrm{Nm}}^{-1}$, then the capillary rise in a tube of diameter 1 mm is: \((\theta = 0^{\circ})\)
1. 1.22 cm
2. 2.44 cm
3. 3.12 cm
4. 3.86 cm

If the capillary experiment is performed in a vacuum, then for a liquid the capillary will:
1. rise
2. remain the same
3. fall
4. rise to the top

An ideal fluid is flowing in a steady-state from section \(A\) to \(B\) through a pipe in a vertical plane as shown. Select the incorrect statement.
                               

In order to float a ring of area 0.04 ${\mathrm{m}}^2$ in a liquid of surface tension 75 N/m, the required surface energy will be:

A block of ice floats on a liquid of density 1.2 $g/c{m}^3$ in a beaker. The level of liquid when ice completely melts-

1. Remains same                         

2. Rises

3. Lowers                                   

4. (1), (2) or (3)

If a small drop of water falls from rest through a large height h in air, then the final velocity is: