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NEET Sample Paper NEET Sample Test Paper-80

  • question_answer
    The displacement-time graph for two particles M and N are straight lines inclined at angles of \[30{}^\circ  and 60{}^\circ \] with time axis as shown in figure. The ratio of the velocities \[{{\nu }_{m}}:{{\nu }_{n}}\] will be

    A)  \[1\,\,:\,\,3\]

    B)  \[1\,\,:\,\,2\]

    C)  \[1\,\,:\,\,\sqrt{3}\]                    

    D)  \[\sqrt{3}\,\,:\,\,1\]

    Correct Answer: A

    Solution :

                The line having greater slope has greater velocity. \[\therefore \] line making angle \[60{}^\circ \] with time axis has greater velocity. \[\frac{{{v}_{m}}}{{{v}_{n}}}=\frac{\tan \,30{}^\circ }{\tan \,60{}^\circ }\] \[=\,\,\frac{1/\sqrt{3}}{\sqrt{3}}=\frac{1}{3}\]


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