A small particle of mass π‘š is projected at an angle πœƒ with the π‘₯-axis with an initial velocity 𝑣0 in the π‘₯-𝑦 plane as shown in the figure. At a time 𝑑 < 𝑣0 /sinΞΈ 𝑔 , the angular momentum of the particle is

Question : A small particle of mass π‘š is projected at an angle πœƒ with the π‘₯-axis with an initial velocity 𝑣0 in the π‘₯-𝑦 plane as shown in the figure. At a time 𝑑 < 𝑣0 /sinΞΈ 𝑔 , the angular momentum of the particle is

(A) -mgv_{0}t^{2}\cos \theta \widehat{j}

(B) mgv_{0}t^{2}\cos \theta \widehat{k}

(C) -\dfrac{1}{2}mgv_{0}t^{2}\cos \theta \widehat{K}

(D) \dfrac{1}{2}mgv_{0}t^{2}\cos \theta \widehat{i}

Answer : option (C)

Solution :

A small particle of mass π‘š is projected at an angle πœƒ with the π‘₯-axis with an initial velocity 𝑣0 in the π‘₯-𝑦 plane as shown in the figure. At a time 𝑑 < 𝑣0 /sinΞΈ 𝑔 , the angular momentum of the particle is
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