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A particle with charge ' $q$ ' is travelling with velocity ' $v$ ' parallel to a wire with a uniform linear charge distribution $λ$ per unit length. The wire also carries a current $I$ as shown in the fig. The velocity with which particle travels in a straight line parallel to the wire at a distance ' $r$ ' away is

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$\frac{λ C^{2}}{I}$

$\frac{λ}{2 μ \in I}$

$\frac{2 λ}{μ \in I}$

$\frac{λ}{μ \in I}$

answer is A, C.

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Detailed Solution

$f_{e} = f_{m} \frac{2 k λ q}{r} = q v B v = \frac{2}{4 {πε}_{0}} \frac{λ q}{r} = q v \frac{μ_{0} i}{2 πr} V = \frac{λ}{ε_{0} μ_{0} 1}$

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