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Q.

A shell is projected from a level ground with a velocity u at angle θ  to the horizontal. When the shell is at the highest point it explodes into two equal fragments. One of the fragments retraces its path to the point of projection. At what distance from the point of projection does the other fragment fall.

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a

2u2Sin2θg

b

u2Sin2θg

c

u2Sin2θ2g

d

2u2Sin2θ3g

answer is A.

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Detailed Solution

xcm=m1x1+m2x2m1+m2                 R=m2(0)+m2x2m                x2=2R                x2=2u2sin2θg
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A shell is projected from a level ground with a velocity u at angle θ  to the horizontal. When the shell is at the highest point it explodes into two equal fragments. One of the fragments retraces its path to the point of projection. At what distance from the point of projection does the other fragment fall.