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.

Motion of an oscillating liquid column in a U tube is SHM with period, $T=2\pi \sqrt{\frac{h}{g}}$, 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.