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( ii) Kinetic energy of recoil electron
E k = hc / λ – hc / λ’( iii) Direction of recoil electron tan θ = λ sin φ / λ’ – λ cos φ( iv) Compton wavelength of electron = h / m o c = 0.024 A( v) Maximum Compton shift( Δλ) max = 2h / m o c 0.0048 A
Matter Waves on de-Broglie Waves
A wave is associated with every moving particle, called matter or de-Broglie wave. de-Broglie Wavelength
If a particle of mass m is moving with velocity v, then wavelength of de-Broglie wave associated with it is given by
λ = h / p = h / mv de-Broglie wavelength of an electron is given by λ = h / mv = h / √2me V = 12.27 / √V A.