JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Self Evaluation Test - Motion in a Strainght Line

  • question_answer
    The displacement-time graphs of two particles A and B are straight lines making angles of \[30{}^\circ \] and \[60{}^\circ \] respectively with the time axis. If the velocity of A is \[{{v}_{A}}\] and that of B is \[{{v}_{B}}\], the value of \[{{v}_{A}}/{{v}_{B}}\] is

    A) \[\frac{1}{2}\]              

    B) \[\frac{1}{\sqrt{3}}\]

    C) \[\sqrt{3}\]                    

    D) \[\frac{1}{3}\]

    Correct Answer: D

    Solution :

    \[{{v}_{A}}=tan30{}^\circ \] and \[{{v}_{B}}=tan60{}^\circ \] \[\therefore \frac{{{V}_{A}}}{{{V}_{B}}}=\frac{\tan 30{}^\circ }{\tan 60{}^\circ }=\frac{1/\sqrt{3}}{\sqrt{3}}=\frac{1}{3}\]


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