Two objects are thrown up at angles of $45^{\circ}$ and $60^{\circ}$ respectively, with the horizontal. If both objects attain same vertical height, then the ratio of magnitude of velocities with which these are projected is .........

  • A

    $\sqrt{\frac{5}{3}}$

  • B

    $\sqrt{\frac{3}{5}}$

  • C

    $\sqrt{\frac{2}{3}}$

  • D

    $\sqrt{\frac{3}{2}}$

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  • [AIIMS 2019]

A particle is projected from ground with velocity $u$ at angle $\theta$ from horizontal. Match the following two columns.

Column $I$ Column $II$
$(A)$ Average velocity between initial and final points $(p)$ $u \sin \theta$
$(B)$ Change in velocity between initial and final points $(q)$ $u \cos \theta$
$(C)$ Change in velocity between initial and final points $(r)$ Zero
$(D)$ Average velocity between initial and highest points $(s)$ None of the above