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0.04 cm liquid column balances the exces...

0.04 cm liquid column balances the excess pressure inside a soap bubble of radius 6 mm. Evaluate density of the liquid. Surface tension of soap solurtion =`0.03 Nm^(-1)`.

Text Solution

Verified by Experts

The excess pressure inside a soap bubble is
`Deltap=4T//R=(4xx0.03 Nm^(-1))/(6xx10^(-3)m)=20 Nm^(-2)`
The pressure due to 0.04 cm of the liquid column is
`Deltap=h rho g=(0.04xx10^(-2)m)rho(10ms^(-2))`
Thus, `20 Nm^(-2)=(0.04xx10^(-2)m) rho (10 ms^(-2))`
or, `rho=5xx10^(3) kgm^(-3)`
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