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A particle falls from a height h upon a fixed horizontal plane and rebounds. If e is the coefficient of restitution, the total distance travelled before rebounding has stopped is

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a
h1+e21−e2
b
h1−e21+e2
c
h21−e21+e2
d
h21+e21−e2

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detailed solution

Correct option is A

Particle falls from height h then formula for height covered by it in nth rebound is given by                                hn=he2nwhere e = coefficient of restitution, n = No. of reboundTotal distance travelled by particle before rebounding has stoppedH=h+2h1+2h2+2h3+2hn+........=h+2he2+2he4+2he6+2he8+.........=h+2h(e2+e4+e6+e8+.......)=h+2he21−e2=h 1+2e21−e2=h 1+e21−e2

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