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12th Class Physics Electric Charges and Fields Question Bank Case Based (MCQs) - Electric Charges and Fields

  • question_answer
    Two equal and opposite charges of masses \[{{m}_{1}}\]and \[{{m}_{2}}\] are accelerated in an uniform electric field through the same distance. What is the ratio of their accelerations, if their ratio of masses is \[\frac{{{m}_{1}}}{{{m}_{2}}}=0.5\]?

    A) \[\frac{{{q}_{1}}}{{{q}_{2}}}=2\]                  

    B) \[\frac{{{q}_{1}}}{{{q}_{2}}}=0.5\]

    C) \[\frac{{{q}_{1}}}{{{q}_{2}}}=3\]                  

    D) \[\frac{{{q}_{1}}}{{{q}_{2}}}=1\]

    Correct Answer: A

    Solution :

    (a) \[\frac{{{q}_{1}}}{{{q}_{2}}}=2\] Force is same in magnitude for both. \[\therefore \,\,\,{{m}_{1}}{{a}_{1}}={{m}_{2}}{{a}_{2}}\] \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{m}_{2}}}{{{m}_{1}}}=\frac{1}{0.5}=2\]


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