(C) When a liquid surface is curved, there exists a pressure difference across the surface due to surface tension. According to the Young-Laplace equa

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the pressure on the concave side is greater than that on the convex side.

(C) When a liquid surface is curved, there exists a pressure difference across the surface due to surface tension. According to the Young-Laplace equation, the pressure on the concave side of a curved liquid surface is always greater than the pressure on the convex side. This pressure difference is given by $\Delta P = P_{\text{concave}} - P_{\text{convex}} = \frac{2T}{R}$ for a spherical surface, where $T$ is the surface tension and $R$ is the radius of curvature. Therefore, the pressure on the concave side is greater than the pressure on the convex side.

Class 11 Physics Fluid Mechanics and Surface Tension Excess Pressure and coalesce of Bubble and drop

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If the shape of the liquid surface is curved, then

MHT CET 2026 All MHT CET

A
the pressure on the convex side is equal to atmospheric pressure.
B
the pressure on the convex side is equal to the pressure on the concave side.
C
the pressure on the concave side is greater than that on the convex side.
D
the pressure on the concave side is lesser than that on the convex side.

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Fluid Mechanics and Surface Tension

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Excess Pressure and coalesce of Bubble and drop

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

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

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

If the shape of the liquid surface is curved, then

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$A$ soap bubble of radius $3 \, cm$ is formed inside 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 .......... $cm$.

In a cylinder provided with a piston, air is under pressure $P_1$ at a constant temperature $t$. $A$ soap bubble with radius $r$ and surface tension $T$ is lying inside the cylinder. To reduce the radius of the soap bubble to half, the required air pressure inside the cylinder 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 $(ii)$ $\frac{2T}{R}$ $(iii)$ $\frac{2R}{T}$

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

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