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Motion of an oscillating liquid column i...

Motion of an oscillating liquid column in a U-tube is

A

periodic but not simple harmonic

B

non-periodic

C

simple harmonic and time period is independent of the density of the liquid

D

simple harmonic and time period is directly proportional to the density of the liquid

Text Solution

Verified by Experts

The correct Answer is:
C
Let h be the height of a liquid column in one arm of a U tube, when the liquid is in equilibrium. When it is slightly displaced, it executes a S.H.M. of period
`T=2pisqrt((h)/(g))`
Thus T is independent of the density of the liquid. Option ( c).
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