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NEET Sample Paper NEET Sample Test Paper-22

  • question_answer
    A body moves along a circular track of radius R. It starts from a point on the circular track, moves along the circular track and completes half a revolution. Find the ratio of its average speed to the magnitude of its average velocity

    A) \[\frac{2}{\pi }\]                                 

    B) \[\frac{3\pi }{2}\]                   

    C)      \[\frac{\pi }{2}\]                     

    D)      \[2\pi \]   

    Correct Answer: C

    Solution :

    \[\text{Average}\,\text{speed=\bar{S}=}\frac{\text{Distance}}{\text{Time}}\] or,        \[\bar{s}=\frac{\pi R}{t}\] Magnitude of average velocity \[=|\vec{v}|\] \[=\frac{\text{Magnitude}\,\text{of}\,\text{displacemennt}}{\text{Time}}\] \[\therefore \]      \[\left| \left\langle \left. {\vec{v}} \right\rangle  \right. \right|=\frac{2R}{t}\] or,        \[\frac{{\bar{s}}}{|\left\langle \left. {\vec{v}} \right\rangle  \right.|}=\frac{\pi R}{t\times \left( \frac{2R}{t} \right)}=\frac{\pi }{2}\] Hence, the correction option is [c].


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