03. Excess of Pressure (Bubbles and Drops)
Mechanical Properties of Fluids

143067 Two soap bubbles of radii r and 2r are connected by a capillary tube-valve arrangement shown in the diagram. The valve is now opened. Then which one of the following will result.

1 The radii of the bubbles will remain unchanged
2 The bubbles will have equal radii
3 The radius of the smaller bubble will decrease and that of the bigger bubble will decrease
4 The radius of the smaller bubble will decrease and that of the bigger bubble will increase
Mechanical Properties of Fluids

143068 Two soap bubbles of radii x and y coalesce to constitutes a bubble of radius z. Then z is equal to

1 x2+y2
2 x+y
3 x+y
4 x+y2
Mechanical Properties of Fluids

143076 A soap bubble of radius r is blown up to form a bubble of radius 2r under isothermal conditions. If T is the surface tension of soap solution, the energy spent in the blowing

1 3πTr2
2 6πTr2
3 12πTr2
4 24πTr2
Mechanical Properties of Fluids

143067 Two soap bubbles of radii r and 2r are connected by a capillary tube-valve arrangement shown in the diagram. The valve is now opened. Then which one of the following will result.

1 The radii of the bubbles will remain unchanged
2 The bubbles will have equal radii
3 The radius of the smaller bubble will decrease and that of the bigger bubble will decrease
4 The radius of the smaller bubble will decrease and that of the bigger bubble will increase
Mechanical Properties of Fluids

143068 Two soap bubbles of radii x and y coalesce to constitutes a bubble of radius z. Then z is equal to

1 x2+y2
2 x+y
3 x+y
4 x+y2
Mechanical Properties of Fluids

143075 Two soap bubbles coalesce. It is noticed that, whilst joined together, the radii of the two bubbles are a and b where a>b. Then the radius of curvature of interface between the two bubble will be

1 ab
2 a+b
3 ab/(ab)
4 ab/(a+b)
Mechanical Properties of Fluids

143076 A soap bubble of radius r is blown up to form a bubble of radius 2r under isothermal conditions. If T is the surface tension of soap solution, the energy spent in the blowing

1 3πTr2
2 6πTr2
3 12πTr2
4 24πTr2
Mechanical Properties of Fluids

143067 Two soap bubbles of radii r and 2r are connected by a capillary tube-valve arrangement shown in the diagram. The valve is now opened. Then which one of the following will result.

1 The radii of the bubbles will remain unchanged
2 The bubbles will have equal radii
3 The radius of the smaller bubble will decrease and that of the bigger bubble will decrease
4 The radius of the smaller bubble will decrease and that of the bigger bubble will increase
Mechanical Properties of Fluids

143068 Two soap bubbles of radii x and y coalesce to constitutes a bubble of radius z. Then z is equal to

1 x2+y2
2 x+y
3 x+y
4 x+y2
Mechanical Properties of Fluids

143075 Two soap bubbles coalesce. It is noticed that, whilst joined together, the radii of the two bubbles are a and b where a>b. Then the radius of curvature of interface between the two bubble will be

1 ab
2 a+b
3 ab/(ab)
4 ab/(a+b)
Mechanical Properties of Fluids

143076 A soap bubble of radius r is blown up to form a bubble of radius 2r under isothermal conditions. If T is the surface tension of soap solution, the energy spent in the blowing

1 3πTr2
2 6πTr2
3 12πTr2
4 24πTr2
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Mechanical Properties of Fluids

143067 Two soap bubbles of radii r and 2r are connected by a capillary tube-valve arrangement shown in the diagram. The valve is now opened. Then which one of the following will result.

1 The radii of the bubbles will remain unchanged
2 The bubbles will have equal radii
3 The radius of the smaller bubble will decrease and that of the bigger bubble will decrease
4 The radius of the smaller bubble will decrease and that of the bigger bubble will increase
Mechanical Properties of Fluids

143068 Two soap bubbles of radii x and y coalesce to constitutes a bubble of radius z. Then z is equal to

1 x2+y2
2 x+y
3 x+y
4 x+y2
Mechanical Properties of Fluids

143075 Two soap bubbles coalesce. It is noticed that, whilst joined together, the radii of the two bubbles are a and b where a>b. Then the radius of curvature of interface between the two bubble will be

1 ab
2 a+b
3 ab/(ab)
4 ab/(a+b)
Mechanical Properties of Fluids

143076 A soap bubble of radius r is blown up to form a bubble of radius 2r under isothermal conditions. If T is the surface tension of soap solution, the energy spent in the blowing

1 3πTr2
2 6πTr2
3 12πTr2
4 24πTr2