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NEET Sample Paper NEET Sample Test Paper-16

  • question_answer
    A plane metallic sheet is placed with its face parallel to the lines of magnetic field B of a uniform field, A particle of mass m and charge q is projected with a velocity u from a distance d from the plane normal to the magnetic field lines. Then the maximum velocity of projection for which the particle does not hit the plate is:

    A) 2Bqd/m          

    B) Bqd/m 

    C)      Bqd/2 m          

    D)      Bqm/d

    Correct Answer: B

    Solution :

    The charged particle bends in a circle of radii r given by: \[Bqv\sin \frac{\pi }{2}=\frac{m{{v}^{2}}}{r}\] \[r=\frac{mv}{Bq}\] The particle dies not hit the plate if \[r\le d\]or \[\frac{mv}{Bq}\le d\] or \[v\le \frac{Bqd}{m}\,\therefore \,{{v}_{\max }}=\,\frac{Bqd}{m}\] Hence, the correction option is (b).


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