Q.

A soap bubble, having radius of 1 mm, is blown from a detergent solution having a surface tension of 2.5×10-2 N/m. The pressure inside the bubble equals at a point Z0 below the free surface of water in a container. Taking g=10 m/s2 density of water 103 kg/m3, the value of Z0 is

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a

0.5 cm

b

100 cm

c

10 cm

d

1 cm

answer is D.

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Detailed Solution

The pressure at a point Z0 below the surface of water,PZ0=P0+ρgZ0  Also, pressure inside a soap bubble, P=P0+4TR  As per question, PZ0=P Z0=4TRρg=4×2.5×10-21×10-3×103×10=1×10-2 m=1 cm
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