Q.

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

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a

The angle made by the plane surface with the positive x-axis is tan1(13)

b

The angle made by the plane surface with the positive x-axis is 90o+tan1(13)

c

The direction of change in momentum makes an angle tan1(13) with the +ve x-axis

d

The direction of change in momentum makes an angle 90o+tan1(13) with the plane surface  

answer is A, C.

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Detailed Solution

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Impulse=change in momentum =2(v2v1)=2(3i^+j^)

As impulse is in the normal direction of colliding surface tanθ=13

θ=tan1(13)

α=90o+tan1(13)

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