**We have the kinetic energy of an electron accelerated through a potential difference of V volts is given by the equation:**

E_{k} = 1/2mv^{2} = eV where e is the electron charge (1.6x10^{-19} C)

**The mass of an electron = 9.11 x 10**^{-31} kg

and so v = √(2eV/m) = √(2x1.6x10^{-19}x100/9.11 x 10^{-31}) = 5.92x10^{6} m/s

Therefore: wavelength = h/mv = h/[9.11x10^{- 31}x5.92x10^{6}]

** = 6.63x10**^{-34}/[9.11x10^{- 31}x5.92x10^{6}]

**= 0.12 x 10**^{-9} m