Three bodies, a ring, a solid disc and a solid sphere roll down the same inclined plane without slipping. The radii of the bodies are identical and they start from rest. If 
, 
and 
are the speeds of the sphere, ring and disc, respectively when they reach the bottom, then the correct option is
Text Solution
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Velocity of body rolling down on inclined plane is given by
, where 
velocity of body when it reaches the ground.
where, 
height of inclined plane, 
radius of body, and 
radius of gyration
Find a ring, 
Speed of the ring, 
…… .(i)
For a solid sphere, 
Speed of the solid sphere, 
…… .(ii)
For a solid disc, 
Speed of the solid disc, 
…… (iii)
From Eqs. (i), (ii) and (iii), it is clear that 
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