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Question:

Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed ‘ $v$ ‘ in a uniform magnetic field $\mathrm{B}$ going into the plane of the paper (See figure). If charge densities $\sigma_{1}$ and $\sigma_{2}$ are induced on the left and right surfaces, respectively, of the sheet then (ignore fringe effects):

  1. $\sigma_{1}=\frac{-\epsilon_{0} \mathrm{vB}}{2}, \sigma_{2}=\frac{\epsilon_{0} \mathrm{vB}}{2}$

  2. $\sigma_{1}=\epsilon_{0} \mathrm{vB}, \sigma_{2}=-\epsilon_{0} \mathrm{vB}$

  3. $\sigma_{1}=\frac{\epsilon_{0} v B}{2}, \sigma_{2}=\frac{-\epsilon_{0} v B}{2}$

  4. $\sigma_{1}=\sigma_{2}=\epsilon_{0} \mathrm{vB}$


Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Physics Moving Charges and Magnetism chapter.
JEE Main Previous Year Online April 10, 2016

Solution:

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