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NEET Sample Paper NEET Sample Test Paper-6

  • question_answer
    A particles of mass m is moving on a circular path of constant radius r such that its centripetal acceleration, \[{{a}_{e}}\] is varying with time t as \[{{a}_{e}}={{K}^{2}}r{{t}^{2}},\]where K is a constant. The power delivered to the particles by the force acting on it is:

    A)  \[2\pi m{{K}^{2}}{{r}^{2}}\]                 

    B)  \[m{{K}^{2}}{{r}^{2}}T\]

    C)  \[\frac{m{{K}^{2}}{{r}^{2}}{{t}^{5}}}{3}\]            

    D)  zero

    Correct Answer: B

    Solution :

    Given that,      \[{{a}_{c}}=Kr{{t}^{2}}\] or  \[\frac{{{\upsilon }^{2}}}{r}\] \[={{K}^{2}}r_{t}^{2}\]  or   \[\omega =krt\]                         ?..(i) Therefore, tangential acceleration.             \[a=\frac{d\upsilon }{dt}=Kr\] or tangential force             \[Ft=m{{a}_{t}}=mKr\] Only tangential force performs work Power \[={{F}_{t}}\upsilon =(mKr)\,(Krt)\] or           power \[=m{{K}^{2}}{{r}^{2}}t\]


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