A beam of electrons at rest is accelerated by a potential V . This beam experiences a force F in a uniform magnetic field. The accelerating field is increased to V ' and the force experienced by

Question

A beam of electrons at rest is accelerated by a potential V . This beam experiences a force F in a uniform magnetic field. The accelerating field is increased to V ' and the force experienced by the electrons in the same field is ' 2 F ' . The ratio is V ′ V ​

TestHub · Accepted Answer

​ K.E. 2 1 ​ m v 2 = e V ∴ v = m 2 e V ​ ​ F = e V B = e m 2 e V ​ ​ B Given F ′ = 2 F = 2 e m 2 e V ​ ​ B ⇒ 2 1 ​ e m 2 e V ′ ​ ​ B = e m 2 e V ​ ​ B ⇒ V ′ = 4 V ​

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