KVPY Sample Paper KVPY Stream-SX Model Paper-1

  • question_answer
    A ring of radius R is placed in the plane with its center at origin and its axis along the x-axis   and having uniformly distributed positive charge. A ring of radius r (<<R) and coaxial with the larger ring is moving along the axis with constant velocity then the variation of electrical flux \[(\phi )\] passing through the smaller ring with position will be best represented by -

    A)                 

    B)

    C)            

    D)

    Correct Answer: C

    Solution :

    [C] \[\phi =\vec{E}.\vec{d}s\] Since r << R so we can consider electric field is constant throughout the surface of smaller ring, hence \[\phi \propto E\propto \frac{x}{{{({{R}^{2}}+{{x}^{2}})}^{3/2}}}\] So, the best represented graph is C.


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