RAJASTHAN PMT Rajasthan - PMT Solved Paper-2000

  • question_answer
    A charged particle is accelerated by a potential of 200 volt. If its velocity is \[8.4\times {{10}^{8}}m/s,\] then value of e/m for that particle is:

    A)  \[17.6\times {{10}^{16}}\]          

    B)         \[14.5\times {{10}^{12}}\]

    C)  \[1.76\times {{10}^{15}}\]          

    D)         \[1.45\times {{10}^{15}}\]

    Correct Answer: C

    Solution :

    If electron is accelerated by voltage V, then its kinetic energy\[\frac{1}{2}m{{\upsilon }^{2}}=qV\] \[\frac{q}{m}=\frac{{{\upsilon }^{2}}}{2V}=\frac{{{(8.4\times {{10}^{8}})}^{2}}}{2\times 200}\] \[=1.76\times {{10}^{15}}\]


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