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Solution

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Correct option is D)

Let mass and spend of man be M and v respectively.

Let speed of the boy be v, them

$21 Mv_{2}=21 [21 (2M )v_{2} ]$ ...(i)

$21 M(v+1)_{2}=21 [2M ]v_{2}$ ...(ii)

Dividing Eq. (i) by (ii) we obtain

or $(v+1)_{2}v_{2} =21 $

or $v+1v_{2} =2 1 $

or $2 v=v+1$

or $v(2 −1)=v+1$

or $v=2 −11 m/s$

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