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A solid sphere is rolling without slipping on a horizontal surface. The ratio of its rotational kinetic energy to its translational kinetic energy is

a)

2/9

b)

2/7

c)

2/5

d)

7/2


Question ID - 53933 | Toppr Answer

A solid sphere is rolling without slipping on a horizontal surface. The ratio of its rotational kinetic energy to its translational kinetic energy is

a)

2/9

b)

2/7

c)

2/5

d)

7/2

1 Answer - 5876 Votes

3537

Answer Key : (c) -

(c)

The kinetic energy of the solid sphere,

                                 …(i)

The rotational kinetic energy,

But   for solid sphere and

then,             

                     …(ii)

On dividing Eq. (ii) by Eq. (i), we have

or                    



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