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There is a howizontal film of soap solut...

There is a howizontal film of soap solution. On it a thread is placed in the form of a loop. The film is pierced inside the loop and the thread becomes a circular loop of radius `R`. If the surface tension of the loop be `T`, then what will be the tension in the thread?

A

`piR^(2)//T`

B

`piR^(2)T`

C

`2piRT`

D

`2RT`

Text Solution

Verified by Experts

The correct Answer is:
D
Suppose tension in thread is `F`, then for small part `Delta l` of thread
`Delta l R theta` and `2Fsin theta //2 = 2 T Delta l = 2TR theta`
`implies F = (TR theta)/(sin theta//2)=(TR theta)/(theta//2) = 2TR (sin theta//2~~ theta//2)`
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