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 2 ~V , the electron in the same magnetic field will experience a force.

Step-by-step solution

Magnetic force, aligned F & =q( v B ) & =q v B aligned For uniform transverse magnetic field, =90^ So, F=q v B=q ( 2 q V m_e ) B when electron accelerated through a potential difference, When electron accelerated through a potential difference 2 V . F^ =e ( 2 e(2 V) m_e ) B From Eqs. (i), we get F^ = 2 F