Light of wavelength 180 nm ejects photoelectron from a plate of a metal whose work function is 2 eV . If a uniform magnetic field of 5 10⁻⁵ ~T is applied parallel to plate, what would be theradius of the path followed by electrons ejected normally from the plate with maximum energy?

Step-by-step solution

If v _ is the speed of the fastest electron emitted from the metal surface, then aligned & h c =W₀+ 1 2 m v_ ² (6.63 10⁻³⁴ ) (3 10⁸ ) (180 10⁻⁹ ) &=2 (1.6 10⁻¹⁹ )+ 1 2 (9.1 10⁻³¹ ) v_ ² & v=1.31 10⁶ ~m / s aligned The radius of the electron is given by r= m v q B = (9.1 10⁻³¹ ) (1.31 10⁶ ) (1.6 10⁻¹⁹ ) (5 10⁻⁹ ) =0.149 ~m