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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

a
2 V
b
2 V
c
22 V
d
4 V

detailed solution

Correct option is D

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

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