Out of electron and proton which one will have, a higher velocity to produce matter waves of the same wavelength? Explain it.

Out of electron and proton, being the lighter particle electron will have a higher velocity and will also produce matter waves of the same wavelength

According to de-Broglie in case of wave-particle duality the wavelength can be expressed as :

This λ= h/p= h/mv ,

h is the Planck’s constant and m and v be the mass and velocity of the wave particles.

By comparing both proton and neutron, the mass of the electron (m-= 9.1 X 10 -31 ) is negligible to proton (m= 1.67 X 10-27 ) hence, the value of the wavelength of the proton will be negligible in compared with the electron as λ α 1/mv

Therefore proton will not produce matter-wave.