Question:

There is a horizontal fdm of soap solutions, on it a thread is placed in form of a loop. The film is pierced inside the loop and the thread becomes a circular loop of radius R. If the surface thension of soap solution is T. Then tension in the thread will be

Updated On: Jul 7, 2022
  • $\pi R^2T$
  • 2RT
  • RT
  • $\frac{\pi R^2}{T}$
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The Correct Option is C

Solution and Explanation

$2F = TX 2R$
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Concepts Used:

Tension

A force working along the length of a medium, especially if this force is carried by a flexible medium like cable or rope is called tension.  The flexible cords which bear muscle forces to other parts of the body are called tendons.

Net force = 𝐹𝑛𝑒𝑡 = 𝑇−𝑊=0,

where,

T and W are the magnitudes of the tension and weight and their signs indicate a direction, be up-front positive here.

Read More: Tension Formula