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Q.

A particle of mass m is projected with a speed u from the ground at angle θ=π3 w.r.t. horizontal ( x-axis). When it has reached its maximum height, it collides completely inelastically with another particle of the same mass and velocity ui^ . The horizontal distance covered by the combined mass before reaching the ground is

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a

338u2g

b

58u2g

c

324u2g

d

22u2g

answer is A.

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Detailed Solution

According to Conservation of Momentum,   mu2+mu=2mv1       ⇒v1=3u4Range of combined mass        R1=v12Hg  =3u42.Hg=3u4.2.u2sin260g.2g=3u4.2.u2.34.g.2g   = 338u2g
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