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Q.

A non-relativistic charged particle flies through the electric field of a cylindrical capacitor and gets into a uniform transverse magnetic field with induction B as shown in figure. In the capacitor the particle moves along the arc of a circle, in the magnetic field, along a semi-circle of radius r.  The potential difference applied to the capacitor is equal to V, the radii of the electrodes are equal to a and b, with a<b.

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For b = 2a, V = 140 volt, B = 2T, r = 10cm, ln2 = 0.7, the value of specific charge of the particle in SI units is  x×103 where x is a positive integer. Find x?

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answer is 5.

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Detailed Solution

E=vlnbar          qvlnbar=mv2r             α=qm               v=αvlnba          r=mvqB                α=vBr                    α=1Brαrlnba            α=1B2r2vlnba

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