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Question: A liquid film is formed over a frame ABCD as shown in figure. Wire CD can slide without friction. Th...

A liquid film is formed over a frame ABCD as shown in figure. Wire CD can slide without friction. The mass to be hung from CD to keep it in equilibrium is

A

Tlg\frac{Tl}{g}

B

2Tlg\frac{2Tl}{g}

C

g2Tl\frac{g}{2Tl}

D

T × l

Answer

2Tlg\frac{2Tl}{g}

Explanation

Solution

Weight of the body hung from wire (mg) = upward force due to surface tension (2Tl ) ⇒ m=2Tlgm = \frac{2Tl}{g}

v=6Td(1r1R)v = \sqrt{\frac{6T}{d}\left( \frac{1}{r} - \frac{1}{R} \right)}