KVPY Sample Paper KVPY Stream-SX Model Paper-9

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

    A)                                   

    B)                    

    C)

    D)                   

    Correct Answer: C

    Solution :

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


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