A particle of mass ( m ) is projected at a velocity ( u ), making an angle ( ) with the horizontal ( ( x )-axis). If the angle of projection ( ) is varied keeping all other parameters same, then magnitude of angular momentum (L) at its maxi

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A particle of mass ( m ) is projected at a velocity ( u ), making an angle ( ) with the horizontal ( ( x )-axis). If the angle of projection ( ) is varied keeping all other parameters same, then magnitude of angular momentum (L) at its maximum height about the point of projection varies with ( ) as,

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Correct answer: 3

Hint : ( aligned & L ₀=m u H & =m u u ^2 ^2 2 ~g & = m u^3 ^2 2 ~g aligned ) (L ) is zero for ( =0^ ) and ( = 2 )

A particle of mass ( m ) is projected at a velocity ( u ), making an angle ( ) with the horizontal ( ( x )-axis). If the angle of projection ( ) is varied keeping all other parameters same, then magnitude of angular momentum (L) at its maximum height about the point of projection varies with ( ) as,

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