(A) The excess pressure $\Delta P$ inside a soap bubble is given by the formula $\Delta P = \frac{4T}{R}$,where $T$ is the surface tension and $R$ is

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Internal pressure of the smaller bubble is higher than the internal pressure of the larger bubble.

(A) The excess pressure $\Delta P$ inside a soap bubble is given by the formula $\Delta P = \frac{4T}{R}$,where $T$ is the surface tension and $R$ is the radius of the bubble.Since the surface tension $T$ is constant for both bubbles,the excess pressure is inversely proportional to the radius,i.e.,$\Delta P \propto \frac{1}{R}$.Therefore,a smaller radius $R$ results in a higher excess pressure $\Delta P$.Thus,the internal pressure of the smaller bubble is higher than the internal pressure of the larger bubble.

Class 11 Physics Mechanical Properties of Fluids Excess Pressure and coalesce of Bubble and drop

Easy

Two soap bubbles have different radii but their surface tension is the same. Mark the correct statement.

A
Internal pressure of the smaller bubble is higher than the internal pressure of the larger bubble.
B
Pressure of the larger bubble is higher than the smaller bubble.
C
Both bubbles have the same internal pressure.
D
None of the above.

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Mechanical Properties of Fluids

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Excess Pressure and coalesce of Bubble and drop

Formation of bubbles is in Column-$I$ and the pressure difference between them is given in Column-$II$. Match them appropriately.

Column-$I$ Column-$II$

$(a)$ Liquid drop in air $(i)$ $\frac{4T}{R}$

$(b)$ Bubble of liquid in air $(ii)$ $\frac{2T}{R}$

$(iii)$ $\frac{2R}{T}$

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MediumJEE MAIN 2013

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What is the ratio of the number of moles of air in two soap bubbles of radii $R_1$ and $R_2$?

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MediumMHT CET 2025

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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 the big soap bubble to that of a small soap bubble is

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Column-$I$	Column-$II$
$(a)$ Liquid drop in air	$(i)$ $\frac{4T}{R}$
$(b)$ Bubble of liquid in air	$(ii)$ $\frac{2T}{R}$
	$(iii)$ $\frac{2R}{T}$

Two soap bubbles have different radii but their surface tension is the same. Mark the correct statement.

Similar Questions

Formation of bubbles is in Column-$I$ and the pressure difference between them is given in Column-$II$. Match them appropriately. Column-$I$ Column-$II$ $(a)$ Liquid drop in air $(i)$ $\frac{4T}{R}$ $(b)$ Bubble of liquid in air $(ii)$ $\frac{2T}{R}$ $(iii)$ $\frac{2R}{T}$

Assume that a drop of liquid evaporates by a decrease in its surface energy,such that its temperature remains unchanged. What should be the minimum radius of the drop for this to be possible? The surface tension is $T$,the density of the liquid is $\rho$,and $L$ is its latent heat of vaporization.

What is the ratio of the number of moles of air in two soap bubbles of radii $R_1$ and $R_2$?

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 the big soap bubble to that of a small soap bubble is

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Formation of bubbles is in Column-$I$ and the pressure difference between them is given in Column-$II$. Match them appropriately.

Column-$I$ Column-$II$

$(a)$ Liquid drop in air $(i)$ $\frac{4T}{R}$

$(b)$ Bubble of liquid in air $(ii)$ $\frac{2T}{R}$

$(iii)$ $\frac{2R}{T}$