Oscillation Of A Floating Body In A Liquid

Column-I gives different situtions in which bodes are floating in liquid. Column-II gives correspoding time periods of oscillation. A cube floating in liquid.

Derive expression for vertical oscillations of a floating body.

Find the expressions for time period and frequency (i) in the oscillations of a liquid in a U tube (ii) in the oscillations of a floating cylinder

A body of uniform cross-section remains floating in a liquid. The density of the liquid is 3 times that of the body. What part of that body remains outside the liquid?

Write down the expression for the period of oscillation of a light piece of cork floating in a liquid .

If a body remains floating on a liquid, then what fraction of its volume remains immersed in the liquid? Or, Prove that the immersed part of a body floating in a liquid is directly proportional to the density of the body.

Derive an expression for the condition for a solid body immersed in a liquid to float in it.

A solid body is found floating in water with ((alpha)/(beta))^(th) of its volume submerged. The same solid is found floating in a liquid with ((alpha)/(beta))^(th) of its volume above the liquid surface. The specific gravity of the liquid is

A body with a uniform cross-section floats on a liquid. The density of the liquid is thrice the density of the body. The part of the body that remains above the liquid is