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Helical Motion

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Question

A particle of mass m having a charge q enters into a circular region of radius R with velocity v directed towards the centre.The strength of magnetic field is B.Find the deviation in the path of the particle.

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Solution

$θ = {t a n}^{- 1} (\frac{R}{r}) = {t a n}^{- 1} (\frac{R}{m v / B q})$
Deviation $= 2 θ = 2 {t a n}^{- 1} (\frac{B q R}{m v})$

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