An air bubble of radius r in water is at dept | vedclass

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(B) The pressure at a depth $h$ in a liquid is given by $P_{liquid} = P + hdg$, where $P$ is the atmospheric pressure, $d$ is the density of the liqui

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$P + hdg + (2T/r)$

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(B) The pressure at a depth $h$ in a liquid is given by $P_{liquid} = P + hdg$, where $P$ is the atmospheric pressure, $d$ is the density of the liquid, and $g$ is the acceleration due to gravity.An air bubble in water has only one surface in contact with the liquid. The excess pressure inside an air bubble of radius $r$ is given by $\Delta P = \frac{2T}{r}$, where $T$ is the surface tension.Therefore, the total pressure inside the bubble is the sum of the pressure of the surrounding liquid and the excess pressure due to surface tension:$P_{in} = P_{liquid} + \Delta P$$P_{in} = P + hdg + \frac{2T}{r}$

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

An air bubble of radius $r$ in water is at depth $h$ below the water surface. If $P$ is the atmospheric pressure, and $d$ and $T$ are the density and surface tension of water respectively, then the pressure inside the bubble will be:

Similar Questions

When a big drop of water is formed from $n$ small drops of water,the energy loss is $3E$,where $E$ is the energy of the bigger drop. The radius of the bigger drop is $R$ and that of the smaller drop is $r$. Then the value of $n$ is:

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

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

$Assertion :$ Smaller drops of liquid resist deforming forces better than the larger drops.
$Reason :$ Excess pressure inside a drop is directly proportional to its surface area.

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$A$ spherical liquid drop of radius $R$ is divided into eight equal droplets. If surface tension is $T$,then the work done in this process will be

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