(D) The excess pressure $\Delta P$ for a soap bubble is given by the formula $\Delta P = 2 \times T \times \left(\frac{1}{R_1} + \frac{1}{R_2}\right)$

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(D) The excess pressure $\Delta P$ for a soap bubble is given by the formula $\Delta P = 2 \times T \times \left(\frac{1}{R_1} + \frac{1}{R_2}\right)$,where $T$ is the surface tension and $R_1, R_2$ are the principal radii of curvature.Given $R_1 = R$ and $R_2 = 5R$.Substituting these values into the formula:$\Delta P = 2T \times \left(\frac{1}{R} + \frac{1}{5R}\right)$$\Delta P = 2T \times \left(\frac{5 + 1}{5R}\right)$$\Delta P = 2T \times \left(\frac{6}{5R}\right)$$\Delta P = \frac{12T}{5R}$

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

Medium

$A$ soap bubble is in the form of a circular tube having a radius of curvature $R$ and a radius of curvature perpendicular to it of $5R$. Find the excess pressure in the bubble.

A
$\frac{6T}{5R}$
B
$\frac{4T}{5R}$
C
$\frac{8T}{5R}$
D
$\frac{12T}{5R}$

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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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$A$ soap bubble is in the form of a circular tube having a radius of curvature $R$ and a radius of curvature perpendicular to it of $5R$. Find the excess pressure in the bubble.

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