NEET-XII-Physics
qstns with ansrs year:2022
- #8The displacement-time graphs of two moving particles make angles of `` 30^{\circ} `` and `` 45^{\circ} `` with the `` x `` -axis as shown in the figure. The ratio of their respective velocity is :
(A) `` 1: \sqrt{3} ``
(B) `` \sqrt{3}: 1 ``
(C) `` 1: 1 ``
(D) `` 1: 2 ``digAnsr: AAns : Velocity is slope of `` x-t `` graph
`` V =\frac{ dx }{ dt }=\tan \theta ``
`` \frac{ V _{1}}{ V _{2}}=\frac{\tan \theta_{1}}{\tan \theta_{2}} ``
`` =\frac{\tan 30^{\circ}}{\tan 45^{\circ}}=\frac{1}{\sqrt{3}} ``