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qUESTIONS

A vessel whose bottom has round hole with diameter of 1 mm is filled with water. Assuming that surface tension. acts only at hole, then the maximum height to which the water can be filled in vessel without leakage is (surface tension of water = 7.5 ×10-² Nm-¹ and g = 10ms-² )

One drop of soap bubble of diameter D breaks into 27 drops having surface tension. The change in surface energy is

A mercury drop of radius 1.0 cm is sprayed in to 106 droplets of equal size. The energy expended in this process is (surface tension of mercury is equal to 32× 10-² Nm-¹ )

A soap bubble A of radius 0.03 m and another bubble B of radius 0.04 m are brought together so that the combined bubble has a common interface of radius r, then the value of r is

Water rises in a capillary tube to a height h. Choose false statement regarding capillary rise from the following.

The excess of pressure inside the first soap bubble is three times that inside the second bubble. Then, the ratio of the volume of the first bubble to that of second bubble will be

Water rises up to a height ‘h1’ in a capillary tube immersed vertically in water. When this whole arrangement is taken to a depth ‘d’ in a mine, the water level rises upto a height ‘h2’ If ‘R’ is the radius of the earth, then the ratio ‘h1/ h2’ is:

A spherical solid ball of volume ‘V’ is made up of a material of density ‘p1’ It is falling through a liquid of density ‘ p2’ (p2 < p1) Assume that the liquid applies a viscous force on the ball that is proportional to square of the terminal speed ‘v1’. F = – Kv1² (K > 0) then the terminal speed of ball is: ( g = acceleration due to gravity)

A square wire frame of each side ‘L’ is dipped in soap solution. On taking out, a membrane is formed. If the surface tension of solution is T, force acting on the frame will be:

A spherical ball of radius ‘R’ is falling through liquid of viscosity ‘Π’ with velocity ‘v’. The retarding force acting on the spherical ball is:

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