Question

Motion of an oscillating liquid 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

Answer 1

Answer: (C)

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

Answer 2

Motion of an oscillating liquid column in a U tube is SHM with period $\mathrm { T } = 2 \pi \sqrt { \frac { \mathrm {~h} } { \mathrm {~g} } }$ where h is the height of liquid column in one arm of U tube in equilibrium position of liquid therefore T is independent of density of liquid.