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calculate the wavelength of an electron of mass 9.1×10^-31 kg moving with a velocity of 2.0×10^6m/s

Question

calculate the wavelength of an electron of mass 9.1×10-31 kg moving with a velocity of 2.0×106 m/s. Plancks constant, h = 6.63 x 10-34Js.

Answer

Mass of electron, Me = 9.1×10-31 kg, v = 2.0×106 m/s, and h = 6.63 x 10-34Js.

From De Broglie, λ = h / (Mev) = (6.63 x 10-34) / (9.1×10-31 x 2.0×106) = 3.64×10-10 m

Therefore, the wavelength of the electron is 3.64×10-10 meters.