Question

What speed must an electron have if its momentum is to be the same as that of an X-ray photon with a wavelength of 0.80 nm? m/s

Answer 1

It is simple question and can be solved using de Broglie hypothesis.which states that every material particle have a wave associated with it and wavelength given as h/mv

Given that momentum of electron is same as that of an x-ray photon with wave. length = 0.80 nm. Using de-broglie hypothesis Then if they have same momentum, Then. they will have same wave length so we can use wave tength of electron de = 0.80 nm. = 0.00 nm : h mex ve mox oisonm ch= me de 6.62 x 10-34 Joule.se 9.10 x 10-31 kg 0.80 nm - 8x 10-10 m 6.62 x 10-34 =) ve = - = 91x163x8x1010m 09093 x 107 mis. - ve or ve 9.093 9.1x105 m/s.