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Question

What will be the diameter (in mm) of a water droplet, the pressure inside which is 0.05 N/cm2 greater than the outside pressure? (Take surface tension as 0.075 N/m).

A
3
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B
0.3
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C
0.6
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D
6
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Solution

The correct option is C 0.6
Given,
Excess pressure inside water droplet,
ΔP=0.05 N/cm2=0.05×104 N/m2
Surface Tension, T=0.075 N/m
To find: diameter of water droplet, d=?
We know that, excess pressure inside a water droplet is given by
ΔP=4T/d
d=4TΔP
Substituting all the values,
d=4×0.0750.05×104=0.6 mm

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