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A vector has a magnitude $x$. If it is rotated by an angle $\theta$, then magnitude of change in vector is $n x$. Match the following two columns.
Colum $I$ | Colum $II$ |
$(A)$ $\theta=60^{\circ}$ | $(p)$ $n=\sqrt{3}$ |
$(B)$ $\theta=90^{\circ}$ | $(q)$ $n=1$ |
$(C)$ $\theta=120^{\circ}$ | $(r)$ $n=\sqrt{2}$ |
$(D)$ $\theta=180^{\circ}$ | $(s)$ $n=2$ |
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