JEE Advanced Model Paper 17 with solutions for online practice

A thin rod free to rotate about a horizontal axis through one end O is initially in unstableequilibrium position 1 and falls due to gravity on being displaced slightly. In positions 2,3and 4 it makes 60° , 90° and 180° with the upward vertical. Let ω2 , ω3 and ω4 be angularvelocities of the rod in theses positions then :