JEE Advanced 2016 Paper 1

A uniform wooden stick of mass 1.6kg and length l rests in an inclined manner on a smooth, vertical wall of height h(<‌l) such that a small portion of the stick extends the wall.The reaction force of the wall on the stick is perpendicular to the stick.The stick makes an angle of 30° with the wall and the bottom of the stick is on a rough floor.The reaction of the wall on the stick is equal in magnitude to the reaction of the floor on the stick.The ratio

h

l

and the frictional force f t the bottom of the stick are :
g=10ms−2