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Q.

Velocity of a particle of mass 2 kg changes from v1=2i^2j^ m/s to v2=i^j^ m/s after colliding with a smooth plane surface.

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a

The angle made by the plane surface with the positive x-axis is 90º +  tan113

b

The angle made by the plane surface with the positive x-axis is tan113

c

The direction of change in momentum makes an angle  tan113 with the positive x-axis

d

The direction of change in momentum makes an angle 90º +tan113 with the plane surface.

answer is A, C.

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Detailed Solution

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ΔP=2(i^j^)2(2i^2j^)=6i^+2j^km/s

So,  ΔP makes angle tan113 with positive x-axis which is also the direction of normal force exerted on the ball. So the plane surface makes an angle π2+tan113 with positive x-axis.

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