Question

Which one of the particles is executing simple harmonic motion? 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.

Answer 1

The correct option is C simple harmonic and time period is independent of the density of the liquid

As $T=2\pi \sqrt{l/g}$ (where l is the length of the oscillating liquid column in each limb), it is independent of the density of the liquid.