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Mechanical Properties of Fluids
Surface Tension – Excess Pressure in a Soap Bubble
1 question from 1 paper, each with its answer.
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Concepts tested
- depth of water with pressure equal to that inside a bubble
All Questions
2019 1 question
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A soap bubble, having radius of 1 mm, is blown from a detergent solution having a surface tension of $2.5\times10^{-2}\ N/m$. The pressure inside the bubble equals at a point $Z_0$ below the free surface of water in a container. Taking $g=10\ m/s^2$, density of water $=10^3\ kg/m^3$, the value of $Z_0$ is:Excess pressure inside a soap bubble $=\frac{4T}{R}$; gauge pressure at depth $Z_0$ in water $=\rho gZ_0$. $P_0+\frac{4T}{R}=P_0+\rho gZ_0\Rightarrow Z_0=\frac{4T}{R\rho g}$ $Z_0=\frac{4\times2.5\times10^{-2}}{10^{-3}\times1000\times10}\ m=10^{-2}\ m$ $Z_0=1\ cm$
