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An isolated and charged spherical soap b...

An isolated and charged spherical soap bubble has a radius 'r' and the pressure inside is atmospheric. If 'T' is the surface tension of soap solution, then charge on drop is:

A

`2sqrt((2rT)/(epsilon_(0)))`

B

`8pirsqrt(2rT epsilon_(0))`

C

`8pirsqrt(rT epsilon_(0))`

D

`8pirsqrt((2rT)/(epsilon_(0)))`

Text Solution

Verified by Experts

The correct Answer is:
B
Inside pressure must be `(4T)/T` greater than outside pressure in bubble. This excess pressure is provided by change on bubble.
`(4T)/r=(sigma^(2))/(2 epsilon_(0))`
`(4T)/r=(Q^(2))/(16pi^(2)r^(4)xx2epsilon_(0))....[sigma=Q/(4pir^(2))]`
`Q=8pirsqrt(2 rTepsilon_(0))`
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