VMMC VMMC Medical Solved Paper-2005

  • question_answer
    A beam of ions enters normally into a uniform magnetic field of \[4\times {{10}^{-2}}\] tesla with velocity of \[2\times {{10}^{5}}\,m/s\]. If the specific charge of the ion is \[5\times {{10}^{7}}\,C/kg,\] then the radius of the circular path described will be:

    A) 0.10 m

    B)                        0.06 m  

    C)        0.20 m                  

    D)        0.25 m

    Correct Answer: A

    Solution :

    From the relation \[\frac{m{{\upsilon }^{2}}}{r}=Be\upsilon \] Here: \[\frac{e}{m}=5\times {{10}^{7}}\,C/kg\] \[\upsilon =2\times {{10}^{5}}m/s\] \[B=4\times {{10}^{-2}}\,\text{tesla}\]                 \[r=\frac{m\upsilon }{Be}\]                                                         ?(i) Now in equation (i), we put the given values, \[r=\frac{\upsilon }{\frac{e}{m}B}=\frac{2\times {{10}^{5}}}{5\times {{10}^{7}}\times 4\times {{10}^{-2}}}=0.1\,m\]


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