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A sea diver at depth of 45m exhales a bu...

A sea diver at depth of 45m exhales a bubble of air that is 1.0 cm in radius. Assuming the ideal behaviour, find out radius of this bubble as it breaks at the surface of water? 

A

1.75 cm

B

1.50 cm

C

1.25 cm

D

0.75 cm

Text Solution

Verified by Experts

The correct Answer is:
A
Pressure of 45 m water in terms of mercury level :
`h_1d_1 = h_2d_2`
`45 xx 1 = h_2 xx 13.6 = h = 3.3 m`.
`:.` Pressure at 45 m depth = `(0.76 + 3.3) = 4.06 m.`
`P_1V_1 = P_2V_2`
`4.06 xx 4/3 pi (1)^3 = 0.76 xx 4/3 pi (r_(cm))^(3)`
`implies r_(cm) root(3)((4.06)/(0.76)) , r_(cm) = 1.75 cm`
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