question_answer

A solid sphere and solid cylinder of identical radii approach an incline with the same linear velocity (see figure). Both roll without slipping all throughout. The two climb maximum heights \[{{h}_{sph}}\]and \[{{h}_{cyl}}\]on the incline. The ratio \[\frac{{{h}_{sph}}}{{{h}_{cyl}}}\]is given by :-                                    [JEE Main 8-4-2019 Afternoon]

A)   \[\frac{14}{15}\]                     

B)        \[\frac{4}{5}\]

C)   1                   

D)        \[\frac{2}{\sqrt{5}}\]

Correct Answer: A

Solution :

[a] for solid sphere

for solid cylinder