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A thin film of a liquid is maintained be...


A thin film of a liquid is maintained between two very long, thin, parallel, horizontal wires separated by a distance 2a. A long wire of mass per unit length `lamda` is gently placed over the liquid film at the middle parallel to the wires. As a result the liquid surface is depressed by a vertical distance `y(yltlta)` at equilibrium. The surface tension of the liquid is `(lamdaga)/(ky)` then k is

Text Solution

Verified by Experts

The correct Answer is:
2


`W=lamdalg'2Tloctheta=W=alphalg`
`tau=(lamdag)/(2costheta)` where `costheta=(y)/(sqrt(a^(2)+y^(2)))=(y)/(a)`
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Knowledge Check

  • Two thin, long, parallel wires, separated by a distance 'd' carry a current of 'i' A in the same direction. They will

    A
    repel each other with a force of `mu_0i^2//(2pid)`
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    D
    attract each other with a force of `mu_0i^2//(2pid^2)`
  • A wire ring of diameter 14cm is gently lowered on to a liquid surface and then pulled up. When the film just breaks, the force required is 0.0616N . The surface tension of the liquid is

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    D
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