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A Proton and an Electron Travelling Along Parallel Paths Enter a Region of Uniform Magnetic Field, Acting Perpendicular to Their Paths. Which of Them Will Move in a Circular Path with Higher Frequency? - Physics

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प्रश्न

A proton and an electron travelling along parallel paths enter a region of uniform magnetic field, acting perpendicular to their paths. Which of them will move in a circular path with higher frequency?

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उत्तर

Radius of the orbit is given as r = `(mv)/(BQ)`

Time period = `(2pir)/v = (2pimv)/(vBQ) = (2pim)/(BQ)`

Frequency = `1/"Time period" = (BQ)/(2pim)`

As the frequency is inversely proportional to the mass of the particle, thus frequency of revolution of the electron is greater than that of proton because of less mass of electron.

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2017-2018 (March) Delhi Set 1

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