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NEET Sample Paper NEET Sample Test Paper-4

  • question_answer
    Two particles X and Y having equal charges after being accelerated through the same potential difference, enters a region of unifrom magnetic field and describe circular path of radii \[{{R}_{1}}\] and \[{{R}_{2}}\]respectively. The ratio of masses of X and Y is:

    A)  \[{{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{1/2}}\]                       

    B)  \[\frac{{{R}_{2}}}{{{R}_{1}}}\]

    C)  \[{{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{2}}\]              

    D)  \[\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)\]

    Correct Answer: C

    Solution :

    As  \[R=\frac{MV}{qB}\]   \[=\frac{\sqrt{2mq\,\Delta V}}{qB}\] So,       \[\frac{{{m}_{1}}}{{{m}_{2}}}={{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{2}}\]


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