A small object of uniform density rolls up a curved surface with an initial velocity v^ . It reaches up to a maximum height of 3 v^2 4 g with respect to the initial position. The object is

Step-by-step solution

As v= 2 g h 1+ k^2 r^2 Given h= 3 v^2 4 g v^2= 2 g h 1+ k^2 r^2 = 2 g 3 v^2 4 g (1+ k^2 r^2 ) = 6 g v^2 4 g (1+ u^2 v^2 ) 1= 3 2 (1+ k^2 v^2 ) or 1+ k^2 r^2 = 3 2 or k^2 r^2 = 3 2 -1= 1 2 k^2= 1 2 r^2 (Equation of disc) Hence, the object is disc.