Physics Two Dimensional Motion Question 113

Question: Figure shows a body of mass m moving with a uniform speed v along a circle of radius r. The change in velocity in going from A to B is

[DPMT 2004]

Options:

A) $ v\sqrt{2} $ B) $ v/\sqrt{2} $ C) $ v $ D) Zero

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Answer:

Correct Answer: A

Solution:

$ | \overrightarrow{\Delta v} |=2v\sin (\theta /2)=2v\sin ( \frac{90}{2} )=2v\sin 45 $

$ =v\sqrt{2} $