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A solid sphere is moving and it makes an elastic collision with another stationary sphere of 1/3 of its own radius. After collision it comes to rest. The ratio of the densities of the materials of second sphere and first sphere is

a
3 : 1
b
9 : 1
c
27 : 1
d
2 .7 : 1

detailed solution

Correct option is C

v1=0 , m2=m13             0=m1−m2⇒m1=m2             d1r13=d2r23             ⇒d1d2=[r2r1]3=127             ∴d2:d1=27:1

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