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

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

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

(c) Both bubbles have the same internal pressure

(d) None of the above

If the excess pressure inside a soap bubble is balanced by oil column of height 2 mm, then the surface tension of soap solution will be (r = 1 cm and density d = 0.8 gm/cc)

(a) 3.9 N/m                 

(b) $3.9\times {10}^{-2} \mathrm{N}/\mathrm{m}$

(c) $3.9\times {10}^{-3} \mathrm{N}/\mathrm{m}$       

(d) 3.9 dyne/m

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

(a) Acute                   (b) Obtuse
(c) 90°                      (d) 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 angle of contact is $\mathrm{\theta }$, then rise of liquid between the plates due to capillary will be 

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

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

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

(a) $1.25\times {10}^{-2} \mathrm{m}$                    (b) $0.50\times {10}^{-2} \mathrm{m}$

(c) $6.5\times {10}^{-2} \mathrm{m}$                      (d) $12.5\times {10}^{-2} \mathrm{m}$

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

(a) 2 : 3                           (b) 3 : 2
(c) 3 : 4                           (d) 4 : 3

A vessel, whose bottom has round holes with 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 $\mathrm{cm}/{\mathrm{s}}^2$)

(a) 100 cm                          (b) 75 cm
(c) 50 cm                            (d) 30 cm

Water rise in a capillary tube when its one end is dipped vertically in it, is 3 cm. If the surface tension of water is $75\times {10}^{-3} \mathrm{N}/\mathrm{m}$, then the diameter of capillary will be

(a) 0.1 mm                          (b) 0.5 mm
(c) 1.0 mm                          (d) 2.0 mm

A capillary tube made of glass is dipped into mercury. Then

1. Mercury rises in the capillary tube

2. Mercury rises and flows out of the capillary tube

3. Mercury descends in the capillary tube

4. Mercury neither rises nor descends in the capillary tube

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

(a) Zero                              (b) l+h 
(c) 2h                                 (d) h