A particle moving with velocity \( v \) changes its direction of motion by an angle \( \theta \)...

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A particle moving with velocity \( v \) changes its direction of motion by an angle \( \theta \) without change in speed. Which of the following statements is not correct?
(A) The magnitude of the change in its velocity is \( 2 v \sin (\theta / 2) \).
(B) The change in the magnitude of its velocity is zero.
(C) The change in its velocity makes an angle \( (\pi / 2+\theta / 2) \) with its initial direction of motion.
(D) The change in velocity is equal to the negative of the resultant of the initial and final velocities.
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