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Q.

A particle is projected with some velocity at an acute angle to the horizontal. The graph between its angular momentum about the point of projection and time during flight is a :

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a

straight line parallel to time axis

b

straight line inclined to the time axis

c

straight line perpendicular to time axis

d

parabola

answer is D.

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Detailed Solution

τ=dLdt⇒ L=∫τdt=∫0t mg(ucos⁡θ)tdt=mgucos⁡θ2t2parabola
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A particle is projected with some velocity at an acute angle to the horizontal. The graph between its angular momentum about the point of projection and time during flight is a :