A rectangular block of mass `m` and area of cross-section `A` floats in a liquid of density `rho`. If it is given a small vertical displacement from equilibrium, it undergoes oscillation with a time period `T`.
(i) `T prop sqrt(m)`
(ii) `T prop sqrt(rho)`
(iii) `T prop (1)/(sqrt(A))`
(iv) `T prop (1)/(sqrt(rho))`.

Options

A. `T prop sqrtrho`
B. `T prop (1)/(sqrtA)`
C. `T prop (1)/(rho)`
D. `T prop (1)/(sqrtm)`

Answer

B