Excess Pressure: Drops & Bubbles

A water drop is divided into 8 equal droplets. The pressure difference between the inner and outer side of the big drop will be

The excess pressure inside a soap bubble of radius $2.5$ cm is $48$ dyne/cm${}^{2}$. The surface tension of soap in dyne /cm is

If the shape of the liquid surface is curved, then

Two soap bubbles, A and B, have radii in the ratio $3 : 2$. The excess pressure inside the bubble A to that of B is in the ratio

Under isothermal conditions, a single drop of radius $R$ is formed from two mercury drops of radii $R_1$ and $R_2$. After combination, the relation between $R, R_1$ and $R_2$ is

The excess pressure inside a spherical drop of water is four times that of another drop. Then, their respective mass ratio is

The excess pressure inside a spherical drop of water is four times that of another drop. Their respective mass ratio is

The pressures inside two soap bubbles A and B are $1.02$ atmosphere and $1.04$ atmosphere respectively. The ratio of volume of bubble A to that of bubble B is (outside pressure $= 1$ atmosphere)

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

The excess pressure inside a spherical water drop A is four times that of another water drop B. Then, the ratio of the mass of water drop A to that of drop B is

The excess pressure inside the first soap bubble of radius $R_1$ is three times that inside the second soap bubble of radius $R_2$. The ratio of volumes of the first to second bubble is

The excess pressure inside the first soap bubble of radius $R_1$ is three times that inside the second soap bubble of radius $R_2$. The ratio of volumes of the first bubble to second bubble is

Due to surface tension, the excess pressure inside a smaller drop is $9$ units. If $27$ smaller drops combine then excess pressure inside the bigger drop is

Under isothermal condition, two soap bubbles of radii $r_1$ and $r_2$ combine to form a single soap bubble of radius R. The surface tension of the soap is (P = outside pressure)

Let $R_1, R_2$ and $R_3$ be the radii of three mercury drops. A big mercury drop is formed from them under isothermal conditions. The radius of the resultant drop is

The excess pressure inside first soap bubble is three times that of a second soap bubble. The ratio of volumes of the first to second bubble

The excess pressure inside a soap bubble is 1.5 times the excess pressure inside a second soap bubble. The volume of the second bubble is ' $x$ ' times the volume of the first bubble. The value of ' x ' is

An air bubble of radius 0.1 cm lies at a depth of 20 cm below the free surface of a liquid of density $1000\text{ kg/m}^3$. If the pressure inside the bubble is $2100\text{ N/m}^2$ greater than the atmospheric pressure, then the surface tension of the liquid in SI unit is (use $g = 10\text{ m/s}^2$)

An air bubble of radius 1.0 mm is observed at a depth 20 cm below the free surface of a liquid having surface tension $0.095\text{ J/m}^2$ and density $10^3\text{ kg/m}^3$. The difference between pressure inside the bubble and atmospheric pressure is __________ $\text{N/m}^2$. (Take $g = 10\text{ m/s}^2$)

Under isothermal conditions, two soap bubbles of radii $r_1$ and $r_2$ coalesce to form a big drop. The radius of the big drop is

The excess pressure inside a soap bubble A in air is half the excess pressure inside another soap bubble B in air. If the volume of the bubble A is $n$ times the volume of the bubble $B$, then, the value of $n$ is__________.

Two soap bubbles of radius 2 cm and 4 cm, respectively, are in contact with each other. The radius of curvature of the common surface, in cm, is _________.

In air, a charged soap bubble of radius R breaks into 64 small soap bubbles of equal radius $r$. The ratio of mechanical force per unit area of big soap bubble to that of a small bubble is

A water drop is divided into 8 equal droplets. The pressure difference between the inner and outer side of the big drop will be

The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the second bubble is:

Pressure inside a soap bubble is greater than the pressure outside by an amount: (given: $R =$ Radius of bubble, $S =$ Surface tension of bubble)

Two soap bubbles having radii ' $r_1$ ' and ' $r_2$ ' has inside pressure ' $P_1$ ' and ' $P_2$ ' respectively. If $P_0$ is external pressure then ratio of their volume is

The excess pressure inside a spherical drop of water A is four times that of another drop B. Then the ratio of mass of drop $A$ to that of drop $B$ is

The pressure inside a soap bubble $A$ is 1.01 atmosphere and that in a soap bubble B is 1.02 atmosphere. The ratio of volume of bubble A to that of B is [Surrounding pressure $= 1$ atmosphere]

The pressure inside two soap bubbles, (A) is 1.01 and that of (B) is 1.02 atmosphere respectively. The ratio of their respective radii (A to B) is (outside pressure $= 1\text{ atm}$.)

The pressure inside a soap bubble A is 1.01 atmosphere and that in a soap bubble B is 1.02 atmosphere. The ratio of volume of $A$ to that of $B$ is

A liquid column of height $0.04\text{ cm}$ balances excess pressure of a soap bubble of certain radius. If density of liquid is $8 \times 10^3\text{ kg m}^{-3}$ and surface tension of soap is $0.28\text{ N m}^{-1}$, then diameter of the soap bubble is __________ $\text{cm}$. (if $g = 10\text{ m s}^{-2}$)

What should be the diameter of a soap bubble, in order that the excess pressure inside it is $25.6\text{ N m}^{-2}$? [surface tension of soap $= 3.2 \times 10^{-2}\text{ N m}^{-1}]$

The excess pressure inside a first spherical drop of water is three times that of second spherical drop of water. Then the ratio of mass of first spherical drop to that of second spherical drop is

The excess of pressure in a first soap bubble is three times that of other soap bubble. Then the ratio of the volume of first bubble to other is

There is an air bubble of radius $1.0\text{ mm}$ in a liquid of surface tension $0.075\text{ N m}^{-1}$ and density $1000\text{ kg m}^{-3}$ at a depth of $10\text{ cm}$ below the free surface. The amount by which the pressure inside the bubble is greater than the atmospheric pressure is _________ $\text{Pa}\left(g = 10\text{ m s}^{-2}\right)$

Two spherical soap bubbles of radii '$a$' and '$b$' in vacuum coalesce under isothermal conditions. The resulting bubble has a radius equal to

The radii of two soap bubbles are $r_1$ and $r_2$. In isothermal condition they combine with each other to form a single bubble. The radius of resultant bubble is

The excess pressure inside a soap bubble of radius $2\text{ cm}$ is 50 dyne/cm${}^{2}$. The surface tension is

If a soap bubble expands, the pressure inside the bubble

The excess pressure inside a liquid drop is 500 Nm${}^{-2}$. If the radius of the drop is 2 mm, the surface tension of liquid is x $\times$ 10$-$3 Nm${}^{-1}$. The value of x is _____________.

A spherical soap bubble of radius 3 cm is formed inside another spherical soap bubble of radius 6 cm. If the internal pressure of the smaller bubble of radius 3 cm in the above system is equal to the internal pressure of another single soap bubble of radius r cm. The value of r is ___________.

A big water drop is divided into 8 equal droplets. $\Delta P_s$ and $\Delta P_B$ be the excess pressure inside a smaller and bigger drop respectively. The relation between $\Delta P_s$ and $\Delta P_B$ is

What should be the radius of water drop so that excess pressure inside it is 72 Nm ${}^{-2}$? (The surface tension of water 7.2 $\times$ 10 ${}^{-2}$ Nm ${}^{-1}$)

Air is pushed in a soap bubble to increase its radius from 'R' to '2R'. In this case, the pressure inside the bubble

Let '$R_1$' and '$R_2$' are radii of two mercury drops. A big mercury drop is formed from them under isothermal conditions. The radius of the resultant drop is

Pressure inside two soap bubbles are 1.01 atm and 1.03 atm. The ratio between their volumes is (Pressure outside the soap bubble is 1 atmosphere)

Two spherical soap bubbles of radii r1 and r2 in vacuum combine under isothermal conditions. The resulting bubble has a radius equal to:

When two soap bubbles of radii a and b (b > a) coalesce, the radius of curvature of common surface is:

A soap bubble of radius 3 cm is formed inside the another soap bubble of radius 6 cm. The radius of an equivalent soap bubble which has the same excess pressure as inside the smaller bubble with respect to the atmospheric pressure is ................ cm.

Under isothermal conditions, two soap bubbles of radii '$r_1$' and '$r_2$ ' combine to form a single soap bubble of radius '$R$'. The surface tension of soap is ( $P =$ outside pressure)

Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their volumes is:

The excess of pressure, due to surface tension, on a spherical liquid drop of radius ' $R$ ' is proportional to

A soap bubble, having radius of 1 mm, is blown from a detergent having a surface tension of 2.5 $\times$ 10–2 N/m. The pressure inside the bubble equals the pressure at a point Z0 below the free surface of water in a container. Taking g = 10 m/s2, density of water = 103 kg/m3, the value of Z0 is:

In air, a charged soap bubble of radius ' $R$ ' breaks into 27 small soap bubbles of equal radius ' $r$ '. Then the ratio of mechanical force acting per unit area of big soap bubble to that of a small soap bubble is

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:

A small soap bubble of radius 4 cm is trapped inside another bubble of radius 6 cm 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:

An air bubble of radius 0.1 cm is in a liquid having surface tension 0.06 N/m and density 103 kg/m3. The pressure inside the bubble is 1100 Nm${}^{-2}$ greater than the atmospheric pressure. At what depth is the bubble below the surface of the liquid? (g = 9.8 ms${}^{-2}$)

Two soap bubbles coalesce to form a single bubble. If V is the subsequent change in volume of contained air and S the change in total surface area, T is the surface tension and P atmospheric pressure, which of the following relation is correct?

If two soap bubbles of different radii are connected by a tube