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Manipal Medical Manipal Medical Solved Paper-2015

  • question_answer
    Two particles \[A\]and \[B\]having equal charges + 6 C after being accelerated through the same potential difference, enter in a region of uniform magnetic field and describe circular paths of radii 2 cm and 3 cm respectively. The ratio of mass of \[A\]to that of \[B\]is

    A) 1/3                                            

    B) 1/2    

    C) 4/9                                            

    D)  9/5

    Correct Answer: C

    Solution :

    Since, \[r=\frac{\sqrt{2mqV}}{qB}=\sqrt{\frac{2mV}{q{{B}^{2}}}}=\frac{{{r}_{1}}}{{{r}_{2}}}=\sqrt{\frac{{{m}_{1}}}{{{m}_{2}}}}\]                                                  \[\frac{{{m}_{1}}}{{{m}_{2}}}=\frac{r_{1}^{2}}{r_{2}^{2}}\] Hence,               \[\frac{{{m}_{1}}}{{{m}_{2}}}=\frac{{{(2)}^{2}}}{{{(3)}^{2}}}=\frac{4}{9}\]


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