RAJASTHAN PMT Rajasthan - PMT Solved Paper-1995

  • question_answer
    A charge is placed on the axis of a dipole at a distance r from centre then charge experiences a force F. If distance from the centre is doubled then new value of force will be:

    A)  zero     

    B)                         \[\frac{1}{2}\]                  

    C) \[\frac{F}{4}\]                                                   

    D) \[\frac{F}{8}\]

    Correct Answer: D

    Solution :

    On axial line of a dipole, force \[F\propto \frac{1}{{{r}^{3}}}\] \[\frac{{{F}_{1}}}{{{F}_{2}}}={{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{3}}={{\left( \frac{2d}{d} \right)}^{3}}\] \[{{F}_{2}}={{F}_{1}}/8\] \[\Rightarrow \]\[{{F}_{2}}=F/8\]


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