Two separate air bubbles (radii 0.002 m and 0.004 m) formed of the same liquid (surface tension `0.70 Nm^-1)~ came together to form a double bubble. Find the radius and sense of curvature of the internal film surface common to both the bubbles.

Find the amount of work done in blowing a soap bubble of surface tension 0.06 Nm^-1 from 2 cm radius to 5 cm radius.

A small air bubble within a glass sphere of radius 0.02 m appears to be 0.01 m below the surface,when looked along a diameter containing the buble.Find the real depth of the bubble along the line of sight.Given, mu=1.54 .

Find the radius of curvature of the convex surface of a plano convex lens,whose focal length is 0.3 m and the refractive index of the material of the lens is 1.5/

The radii of curvature of the two faces of a convex lens are 0.1 m and 0.15 m respectively.If the foal length of the lens is 0.12 m,find the refractie index of the material of the lens.

Two narrow bores of diameters 3.0 mm and 6.0 mm are joined together to form a U-tube open at both ends. If the U-tube contains water, what is the difference in its levels in the two limbs of the tube ? Surface tension of water at the temperature of the experiment is 7.3xx 10^-2 N m^-1 '. Take the angle of contact to be zero and density of water to be 1.0xx 10^3 kg m^- 3 ( g = 9.8 m s^-2 ) .

The radius of a circular soap bubble is increasing at the rate of 0.2 cm/s. Find the rate of change of its: Surface area when the radius is 4 cm.

Calculate the amount of energy evolved when 8 droplets of water (Surface tension 0.072 N m^-1) of radius 1/2 mm each combines into one.

What is the excess pressure inside a bubble of soap solution of radius 5.00 mm,given that the surface tension of soap solution at the temperature (20^@C) is 2.50xx 10 2 N in 1 ? If an air bubble of the same dimension were formed at depth of 40.0 cm inside a container containing the soap solution (of relative density 1.20), what would be the pressure inside the bubble ? (1 atmospheric pressure is 1.01xx 105 Pa).