# A bob of mass M is suspended by a massless string of length L. The horizontal velocity 𝑣 at position A is just sufficient to make it reach the point B. The angle 𝜃 at which the speed of the bob is half of that at A, satisfies

Question : A bob of mass M is suspended by a massless string of length L. The horizontal velocity 𝑣 at position A is just sufficient to make it reach the point B. The angle 𝜃 at which the speed of the bob is half of that at A, satisfies

(A) $\theta =\dfrac{\pi }{4}$

(B) $\dfrac{\pi }{4} <\theta <\dfrac{\pi }{2}$

(C) $\dfrac{\pi }{4} <\theta <\dfrac{3\pi }{2}$

(D) $\dfrac{3\pi }{4} <\theta <\pi$

Answer : option (D)

Solution :

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