A beam of electrons is accelerated though a potential difference V. It is then passed normally through a uniform magnetic field where it moves in a circle of radius r. It would have moved in a circle of radius 2r, if it were initially accelerated through a potential difference of

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2 V

22 V

4 V

answer is D.

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Detailed Solution

r=mvqB P22m=qV p=2mqV r=2mqVqBr∝V∴ 2rr=V'V ⇒V'=4V.

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