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Q.

An electron is accelerated from rest through a potential dif­ference V. This electron experiences a force F in a uniform magnetic field. On increasing the potential difference to V, the force experienced by the electron in the same magnetic field becomes 2F. Then, the ratio (V'/V) is equal to

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a

1/ 4

b

2/1

c

1/ 2

d

4/1

answer is D.

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Detailed Solution

K=12mv2=eV or v=2eVmF=eB=e[2eVm]×BF2F=V1V2=VV′ ∴V′V=41.
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