JIPMER Jipmer Medical Solved Paper-2002

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

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

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

    C)         \[4\times {{10}^{-}}^{7}\text{Nm}\]     

    D)         \[4\times {{10}^{-}}^{9}\text{Nm}\]

    Correct Answer: C

    Solution :

    \[\tau =\overrightarrow{p}\times \overrightarrow{E}=pE\sin \theta \] \[{{\tau }_{\max }}=p\times E\]                 (As \[\theta =90{}^\circ ,\] \[p=ql\]) \[=ql\times E=2\times {{10}^{-10}}\times 1\times {{10}^{-2}}\times 2\times {{10}^{5}}\] \[=4\times {{10}^{-7}}Nm\]


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