An electron of mass m_ e and a proton of mass m_ p are moving with the same speed. The ratio of their de-Broglie's wavelengths _ e / _ p is

Step-by-step solution

de-Broglie's wavelength, = h m v For electron, _ e = h m_ e v For photon, _ p = h m_ p v aligned _ e _ p &= h / m_ e v h / m_ p v _ e _ p &= m_ p m_ e _ e _ p = 1.67 10⁻²⁷ 9.1 10⁻³¹ &=0.18 10⁴=1836 aligned