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13. A uniform U-tube contains water to a height h in each limb. If water if one limb is depressed a little and released, the period of oscillation of water column is ?

13. A uniform U-tube contains water to a height h in each limb. If water if one limb is depressed a little and released, the period of oscillation of water column is ?
 

Grade:

1 Answers

Abhishek Kumar
askIITians Faculty 253 Points
6 years ago
If one limb is depressed by x, height difference is 2x.
Pressure difference between the two limbs causes a restoring force = -(2x\rho g.A)
As restoring force is linear, motion will be SHM.
k = 2\rho g.A
Put in the formula for T.

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