A cylindrical object of cork of mass `15 g` and cross-sectional area `A_(1) = 10 cm^(2)` floats in a
Channel: Doubtnut
Date: 2020-07-26

A cylindrical object of cork of mass `15 g` and cross-sectional area `A_(1) = 10 cm^(2)` floats in a pan of water as shown in the figure. An aluminum, cylinder of mass `25 g` and cross-sectional area `A_(2) = 2 cm^(2)` is attached `4 cm` below the cork and slides through a watertight frictionless hole in the bottom of the pan. Take density of the cork, `rho = 0.2 g//cm^(3), rho_("aluminium") = 2.7 g//cm^(3), g = 10 m//s^(2)`. Based on the above information, answer the following questions.    The length of the cork cylinder inside the water in equilibrium is