A particle with charge \( q \) is travelling with velocity \( v \) parallel to a wire with a...

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A particle with charge \( q \) is travelling with velocity \( v \) parallel to a wire with a uniform linear charge distribution \( \lambda \) 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 \( (c= \) speed of light in medium)
(a) \( \frac{\lambda}{\mu \varepsilon I} \)
(b) \( \frac{\lambda}{2 \mu \varepsilon I} \)
(c) \( \frac{\lambda c^{2}}{I} \)
(d) \( \frac{2 \lambda}{\mu \varepsilon I} \)
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