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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answer is 4.

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Detailed Solution

K=12mv2=eV or v=2eVm Also, F=evB=e2eVm×B Therefore, F2F=V1V2=VV' ∴ V'V=41

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