The wavelength of an electron and a neutron will become equal when the velocity of the electron is x times the velocity of neutron. The value of x is____(the nearest integer)(Mass of electron is 9 . 1 × 10 - 31 kg and mass of neutron is 1 . 6 × 10 - 27 kg )

Step-by-step solution

λ e = λ n h m e . v e = h m n . v n λ e = Wavelength of electron λ n = Wave length of neutron m e   and   M n = Mass of electron and neutron respectively v e   and   v n = Velocity of electron and neutron respectively h = 6 . 626 × 10 - 34 Js = Planck's constant m e . x . v n = m n . v n x = m n m e = 1 . 6 × 10 - 27 9 . 1 × 10 - 31 ⇒ x = 16 9 × 10 3 = 1 . 758 × 10 3 = 1758