A disc and a ring both have same mass and radius. The ratio of moment of inertia of the disc about its diameter to that of a ring about a tangent in its plane is

Step-by-step solution

For disc, aligned I _ D & = I _z 2 & = MR ^2 2 2 = MR ^2 4 aligned For ring, by using perpendicular and parallel axis theorem, array ll & I _ R = I _y+M x ^2= MR ^2 2 +M R^2= 3 2 MR ^2 & I _ D I _ R = MR ^2 4 2 3 MR ^2 & I_D I_R = 1 6 array