A monochromatic light is incident on a metallic plate having work function \(\phi\). An electron, emitted normally to the plate from a point \(A\) with maximum kinetic energy, enters a constant magnetic field, perpendicular to the initial velocity of electron. The electron passes through a curve and hits back the plate at a point \(B.\) The distance between \(A\) and \(B\) is: (Given: The magnitude of charge of an electron is \(e \) and mass is \(m, h \) is Planck's constant and \(c\) is velocity of light. Take the magnetic field exists throughout the path of electron)
1. \(\dfrac{\sqrt{2 {~m}({hc} / \lambda-\phi)}} { {eB} }\)
2. \(\dfrac{\sqrt{8 {~m}({hc} / \lambda-\phi)}} { {eB} }\)
3. \(\dfrac{\sqrt{{~m}({hc} / \lambda-\phi)}} { {eB} }\)
4. \(\dfrac{2\sqrt{{~m}({hc} / \lambda-\phi)}} { {eB} }\)