Q.

An electron is accelerated from rest through a potential difference V. This electron experiences a force F is a uniform magnetic field. On increasing the potential difference to  V1, the force experienced by the electron in the same magnetic field becomes  6F. Then the ratio V1/V is equal to

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a

1/4

b

36

c

2/1

d

1/2

answer is A.

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Detailed Solution

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K=12mv2=eV v=2eVm

Also,  F=qvB
 F=e2eVmB F  V
 F6F=V1V2 =VV1
V1V=36.

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