A soap bubble, having radius of 1 mm, is blown from a detergent solution having a surface tension of $2.5 imes 10^{-2}$ 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 :

Question

A soap bubble, having radius of 1 mm, is blown from a detergent solution having a surface tension of $2.5 	imes 10^{-2}$ 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 :

Dr. Abubacker · Accepted Answer

[Solution] Excess pressure $= \frac{4T}{r} = \frac{4 	imes 2.5 	imes 10^{-2}}{10^{-3}} = 100$ Pa $= ho gZ_0$, so $Z_0 = 0.01$ m = 1 cm. Answer (3).

Explanation

Reviewed by Dr. Abubacker

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