KVPY Sample Paper KVPY Stream-SX Model Paper-28

  • question_answer
    Charges \[-q\] and \[+q\] located at A and B, respectively, constitute an electric dipole. Distance \[AB=2a,\text{ O}\]is the mid point of the dipole and OP is perpendicular to AB. A charge Q is placed at P where \[OP=y\] and \[y>>2a.\] The charge Q experiences an electrostatic force F. If Q is now moved along the equatorial line to P' such that \[OP'=\left( \frac{y}{3} \right),\]the force on Q will be close to: \[\left( \frac{y}{3}>>2a \right)\]

    A) \[3F\]

    B) \[\frac{F}{3}\]

    C) \[9F\]

    D) \[27F\]

    Correct Answer: D

    Solution :

    \[\because \]       \[F\propto \frac{1}{{{r}^{3}}}\]
    Required force\[=27\text{ }F.\]


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