12th Class Physics Electric Charges and Fields Question Bank MCQ - Electric Charges and Fields

  • question_answer
    Two equal and opposite charges                                                                     \[2\times {{10}^{-10}}C\] are placed at a distance of 1 cm forming a dipole and are placed in an electric field                                                                    \[2\times {{10}^{5}}\,N/C\] , maximum torque on dipole is:

    A)                                                              \[2\sqrt{2}\times {{10}^{-6}}\,Nm\]

    B)                                                                     \[8\times {{10}^{8}}Nm\]

    C)                                                                   \[4\times {{10}^{-9}}\,Nm\]

    D)                                                                   \[4\times {{10}^{-7}}\,Nm\]

    Correct Answer: D

    Solution :

    (d)                                                                   \[4\times {{10}^{-7}}\,Nm\] Here,                                                          \[q=2\times {{10}^{-10}}C,\,x=1\,cm=0.01m\] Dipole moment = Charge x Distance                                  \[=2\times {{10}^{-10}}\times {{10}^{-2}}=2\times {{10}^{-12}}cm\] Maximum Torque = \[pE\]                              \[=2\times {{10}^{-12}}\times 2\times {{10}^{5}}=4\times {{10}^{-7}}Nm\]


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