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Consider the situation described in the ...

Consider the situation described in the previous example. A particle of mass m having a charge q is placed at a distance d from the metal sheet and is projected towards it. Find the maximum velocity of projection for which the particle does not hit the sheet.

Text Solution

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Solution: As the magnetic field is uniform and the
particle is projected in a direction perpendicular to the
field, it will describe a circular path. The particle will
not hit the metal sheet if the radius of this circle is
smaller than d. For the maximum velocity, the radius
is just equal to d. Thus,
` qvB=(mv^2)/d`
` or, qv((mu_0)K/2)= (mv^2)/d`
` or, v= ((mu_0)qKd/2m).`
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