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.