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Q.

Six identical marbles are lined up in a straight groove made on a horizontal frictionless surface as shown in figure. Two similar marbles each moving with a velocity v  collide with the row of 6 marbles from the left. What is observed?

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a

All eight marbles will start moving to the right, each with speed of  v/8

b

All six marbles in the row will roll out with a speed v/6  each, the two incident marbles will come to rest

c

One marble from the right rolls out with a speed 2v,  the remaining marbles do not move

d

Two marbles from the right rollout with a speed  v each, the remaining marbles do not move

answer is B.

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Detailed Solution

When the two marbles strikes the system of marbles, by head on elastic collisions of identical spherical bodies we can say that these two marbles will come to rest and next two will be set in motion and same phenomenon happens for next set of marbles Hence (B) is correct.

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