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A soap bubble contains two surface layers, what is the excess pressure just inside the first layer when seen from outside the bubble?

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Important Questions on Properties of Matter

MEDIUM
A large number of water drops, each of radius r, combine to have a drop of radius R. If the surface tension is T and mechanical equivalent of heat is J, the rise in heat energy per unit volume will be:
MEDIUM
A soap bubble, blown by a mechanical pump at the mouth of a tube increases in volume with time at a constant rate. The graph that correctly depicts the time dependence of pressure inside the bubble is given by:
EASY
Two separate soap bubbles of radii 3×10-3 m and 2×10-3 m respectively, formed of same liquid (surface tension 65×10-2 N m-1) come together to form a double bubble. The radius of interface of double bubble is
HARD
Two spherical soap bubbles of radii r1 and r2 in vacuum combine under isothermal conditions. The resulting bubble has a radius equal to:
EASY
Two soap bubbles of radii 3 mm and 4 mm confined in vacuum coalesce isothermally to form a new bubble. The radius of the bubble formed in mm is
MEDIUM
A boy formed a bubble and a liquid drop form the same soapy water. The pressure difference between inside and outside of the soap bubble is measured to be 100 N/m2. If the radius of the droplet is half of the radius of the bubble, then the pressure difference between the inside and outside of the droplet is
EASY
Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their volumes is :
MEDIUM
Two spherical soap bubbles of radii R1 and R2 combine under isothermal condition to form a single bubble. The radius of the resultant bubble is
EASY
A glass capillary tube is of the shape of a truncated cone with an apex angle α so that its two ends have cross-sections of different radii. When dipped in water vertically, the water rises in it to a height h, where the radius of its cross-section is b. If the surface tension of water is S, its density is ρ, and its contact angle with glass is θ, then the value of h will be (g is the acceleration due to gravity)

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EASY
A soap bubble having radius of 1 mm is blown from a detergent solution having a surface tension of 2.5×10-2N m-1. The pressure inside the bubble equals at a point Z0 below the free surface of water in a container. Taking g=10 m s-2, density of water =103 kg m-3, the value of Z0 is
MEDIUM
64 identical water droplets combine to form a large drop. Find the ratio of the total surface energy of 64 droplets to that of the large drop.
HARD
A small soap bubble of radius 4cm is trapped inside another bubble of radius 6cm without any contact. Let P2 be the pressure inside the inner bubble and P0, the pressure outside the outer bubble. Radius of another bubble with pressure difference P2-P0 between its inside and outside would be:
MEDIUM
A soap bubble of radius 3 cm is formed inside another soap bubble of radius, 6 cm. The radius of an equivalent soap bubble that has the same excess pressure as inside the smaller bubble with respect to the atmospheric pressure is____cm.
MEDIUM
Suppose you have taken a dilute solution of oleic acid in such a way that its concentration becomes 0.01 cm3 of oleic acid per cm3 of the solution. Then you make a thin film of this solution (monomolecular thickness) of area 4 cm2 by considering 100 spherical drops of radius 340π13×10-3 cm. Then the thickness of oleic acid layer will be x×10-14 m. Where x is ________ .
EASY
Two soap bubbles of radii, R and, 2 R (in vacuum) coalesce under isothermal conditions. The radius of the new bubble is (surface tension of soap solution is 2.5×10-2 N m-1)
HARD

A water drop of radius 1 cm is broken into 729 equal droplets. If surface tension of water is 75dyne cm-1, then the gain in surface energy upto first decimal place will be

[Given π=3.14]

EASY
If a soap bubble expands, the pressure inside the bubble
HARD
A certain number of spherical drops of a liquid of radius r coalesce to form a single drop of radius R and volume V. If T is the surface tension of the liquid then:
MEDIUM
A big water drop is formed by the combination of n small water drops of equal radii. The ratio of the surface energy of n drops to the surface energy of the big drop is
HARD

If two glass plates have water between them and are separated by very small distance (see figure), it is very difficult to pull them apart. It is because the water in between forms cylindrical surface on the side that gives rise to lower pressure in the water in comparison to atmosphere. If the radius of the cylindrical surface is R and surface tension of water is T then the pressure in water between the plates is lower by:

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