If pressure at half the depth of a lake is equal to 2/3 pressure at the bottom of the lake then what is the depth of the lake

(1) 10m

(2) 20m

(3) 60m

(4) 30m

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

(1) Equal to atmospheric

(2) Equal to upper side pressure

(3) More than upper side pressure

(4) Lesser than upper side pressure

Two soap bubbles have different radii but their surface tension is the same. Mark the correct statement

(1) Internal pressure of the smaller bubble is higher than the internal pressure of the larger bubble

(2) Pressure of the larger bubble is higher than the smaller bubble

(3) Both bubbles have the same internal pressure

(4) None of the above

Due to capillary action, a liquid will rise in a tube, if the angle of contact is 

(1) Acute

(2) Obtuse

(3) 90°

(4) Zero

Two parallel glass plates are dipped partly in the liquid of density 'd' keeping them vertical. If the distance between the plates is 'x', surface tension for liquids is T and the angle of contact is $\mathrm{\theta }$, then rise of liquid between the plates due to capillary will be 

(1) $\frac{\mathrm{T} \mathrm{cos\theta }}{\mathrm{xd}}$

(2) $\frac{2\mathrm{T} \mathrm{cos\theta }}{\mathrm{xdg}}$

(3) $\frac{2\mathrm{T} }{\mathrm{xdgcos\theta }}$

(4) $\frac{\mathrm{T} \mathrm{cos\theta }}{\mathrm{xdg}}$

Water rises in a capillary tube to a certain height such that the upward force due to surface tension is balanced by $75\times {10}^{-4}$ $\mathrm{N}$ force due to the weight of the liquid. If the surface tension of water is $6\times {10}^{-2}$ ${\mathrm{Nm}}^{-1}$, the inner circumference of the capillary must be:

1. $1.25\times {10}^{-2}$ $\mathrm{m}$ 

2. $0.50\times {10}^{-2}$ $\mathrm{m}$

3. $6.5\times {10}^{-2}$ $\mathrm{m}$

4. $12.5\times {10}^{-2}$ $\mathrm{m}$

Two capillary tubes P and Q are dipped in water. The height of water level in capillary P is 2/3 to the height in Q capillary. The ratio of their diameters is

(1) 2 : 3                           

(2) 3 : 2

(3) 3 : 4                           

(4) 4 : 3

A vessel, whose bottom has round holes with a diameter of 0.1mm, is filled with water. The maximum height to which the water can be filled without leakage is
(S.T. of water =75 dyne/cm, g =1000 $\mathrm{cm}/{\mathrm{s}}^2$)

(1) 100 cm

(2) 75 cm

(3) 50 cm

(4) 30 cm

By inserting a capillary tube up to a depth l in water, the water rises to a height of h ( h<l). If the lower end of the capillary is closed inside the water and the capillary is taken out and closed-end opened, to what height the water will remain in the tube?

(1) Zero

(2) l+h 

(3) 2h

(4) h

A capillary tube when immersed vertically in liquid records a rise of 3 cm. If the tube is immersed in the liquid at an angle of $60°$ with the vertical. The length of the liquid column along the tube is 

(1) 9cm

(2) 6cm

(3) 3cm

(4) 2cm