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6481-1698_9050_question.bmp

Grade:12

1 Answers

Chetan Mandayam Nayakar
312 Points
10 years ago

In equilibrium, horizontal force of liquid1 is equal and opposite to that of liquid2.

Force of liquid2 per unit length of cylinder= 3dgR2sin(theta)cos(theta) d(theta) = 3dgR2/2 = F1

Force of liquid1 per unit length of cylinder= 2dgR(Rsin(theta)+H – R)cos(theta) d(theta)

= F2 = dgR2 +2dgR(H – R) + dg(H – R)2

F1 = F2 implies H = R(sqrt(3/2))

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