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A tube of fine bore AB is connected to a...

A tube of fine bore `AB` is connected to a manometer `M` as shown. The stop cock `S` controls the flow of air. `AB` is dipped into a liquid whose surface tension is T. On opening the stop cock for a while, a bubble is formed at `B` and the mamometer liquid and r the radius of curvature of the bubble, then the surface tension `T` of the liquid is given by

A

`rhohrg`

B

`2rhohgr`

C

`4rhohrg`

D

`(rhrhog)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
`P_(A)` has to be equal to `P_(B)`.
`P_(A) = P_(0) + rhogh …..(i)`

Now `P_(C) - P_(0) = (4sigma)/(r) :'` soap bubble has `2` films
and `P_(C) = P_(B) :'` same air is filled
`rArr P_(0) + (4sigma)/(r) = P_(0) + rhogh ....(ii)`
get `sigma = (rhogh)/(4)`
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