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# A charged particle moves in a circle around an infinite line charge such that center of circle lies on line and line is perpendicular to plane of circle. If r is the radius of circle the velocity of particle will depend on which power of r .

$(A)\;0 \\ (B)\;1 \\ (C)\; -1 \\ (D)\;2$

Can you answer this question?

$\large \frac{\lambda}{2 \pi \in_0 r}=\frac{mv^2}{r}$
=> $v= \sqrt { \large\frac{\lambda}{2 \pi \in_0 m}}$
ie v is independent of r.
Hence A is the correct answer.
answered Jan 10, 2014 by