question_answer

The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane. : (i) a ring of radius R, (ii) a solid cylinder of radius \[\frac{R}{2}\] and (iii) a solid sphere of radius \[\frac{R}{4}\]. If in each case, the speed of the centre of mass at the bottom of the incline is same, the ratio of the maximum heights they climb is :         [JEE Main 9-4-2019 Morning]

A)   4 : 3 : 2          

B)        14 : 15 : 20

C)   10 : 15 : 7

D)        2 : 3 : 4

Correct Answer: C

Solution :

[c]

if radius of gyration is k, then

Therefor most appropriate option is [b]

athough which in not in correct sequence