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The masses of five balls at rest and lying at equal distances in a straight line are in geometrical progression with ratio 2 and their coefficients of restitution are each 2/3. If the first ball be started towards the second with velocity , then the velocity communicated to 5th ball is

a)

b)

c)

d)


Question ID - 53915 | Toppr Answer

The masses of five balls at rest and lying at equal distances in a straight line are in geometrical progression with ratio 2 and their coefficients of restitution are each 2/3. If the first ball be started towards the second with velocity , then the velocity communicated to 5th ball is

a)

b)

c)

d)

1 Answer - 5876 Votes

3537

Answer Key : (d) -

(d)

We know that velocity of 2nd ball after collision is given by

In present problem  and , hence

As four exactly similar type of collisions are taking place successively, hence velocity communicated to fifth ball



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