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An electron accelerated through a potential difference V passes through a uniform transverse magnetic field and experiences a force F. If the accelerating potential is increased to 2V, the electron in the same magnetic field will experience a force.

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a

F

b

F/2

c

2F

d

2F

answer is C.

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Detailed Solution

F=BqvBut 12mv2=eV or v=2eVm ∴ F=Bq2eVm ⇒ F∝V and F1∝2V ∴F1F=2 or F1=2F .

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An electron accelerated through a potential difference V passes through a uniform transverse magnetic field and experiences a force F. If the accelerating potential is increased to 2V, the electron in the same magnetic field will experience a force.