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

Step-by-step solution

The magnetic force on charged particle (m, q) passing through a uniform transverse magnetic field. B is given by, F=B q v The kinetic energy gained during acceleration through a potential difference V is, aligned & 1 2 m v^2=e V & v= 2 e V m aligned Therefore, the magnetic force on the charged particle is directly proportional to the square-root of the potential difference applied during acceleration phase: F V Now, if the potential difference used to accelerate the electron is doubled: F^ 2 V F^ F = 2