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NTSE Sample Paper NTSE SAT Practice Test-10

  • question_answer
    A particle goes round a circular path of radius r with uniform speed v. After describing half the circle, the average acceleration of the particle is:

    A) \[\frac{{{\upsilon }^{2}}}{\pi r}\]                                 

    B) \[\frac{{{\upsilon }^{2}}}{r}\]

    C) \[\frac{2{{\upsilon }^{2}}}{\pi r}\]    

    D) \[\frac{2{{\upsilon }^{2}}}{r}\]

    Correct Answer: C

    Solution :

    [c] After half revolution, change in speed \[=v-(-v)\] \[=2v\] Time taken  \[=\frac{\pi r}{v}\] \[\therefore \] Average speed  \[=\frac{2v}{{{\pi }^{r/v}}}\] \[=\frac{2{{v}^{2}}}{\pi r}\]                        


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