A cylinderical rod of length `l=2m` & density `(rho)/(2)` floats vertically in a liquid of density `rho` as shown in figure
(i). Show that it performs SHM when pulled slightly up & released find its time period. Neglect change in liquid level.
(ii). Find the time taken by the rod to completely immerse when released from position shown in (b). Assume that it remains vertical throughout its motion (take `g=pi^(2)m//s^(2)`)