MGIMS WARDHA MGIMS WARDHA Solved Paper-2008

  • question_answer
    The specific charge of a proton is \[9.6\times {{10}^{7}}\,\,C\,\text{k}{{\text{g}}^{-1}}.\]The specific charge of an alpha particle will be

    A) \[9.6\times {{10}^{7}}\,\,C\,\text{k}{{\text{g}}^{-1}}\]  

    B) \[19.6\times {{10}^{7}}\,\,C\,\text{k}{{\text{g}}^{-1}}\]

    C) \[4.8\times {{10}^{7}}\,\,C\,\text{k}{{\text{g}}^{-1}}\]  

    D) \[2.4\times {{10}^{7}}\,\,C\,\text{k}{{\text{g}}^{-1}}\]

    Correct Answer: C

    Solution :

    Specific charge on proton\[={{\left( \frac{e}{m} \right)}_{p}}\] \[=9.6\times {{10}^{7}}C/kg\]specific charge on a-particle, \[{{\left( \frac{q}{m} \right)}_{a}}=\frac{2e}{4m}=\frac{1}{2}{{\left( \frac{e}{m} \right)}_{p}}=\frac{1}{2}\times 9.6\times {{10}^{7}}\] \[=4.8\times {{10}^{7}}C/kg\]


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