Question

Consider a neutron (mass m) of kinetic energy E and a photon of the same energy. Let λn and λp be the de Broglie wavelength of neutron and the wavelength of photon respectively. Obtain an expression for λn/λp.

de Broglie wavelength λ as a function of 1/√K, for two particles of masses m₁ and m₂ are shown in the figure. Here, K is the energy of the moving particles. (a) What does the slope of a line represent ? (b) Which of the two particles is heavier ? (c) Is this graph also valid for a photon ? Justify your answer in each case.

In Balmer series of hydrogen atom, as the wavelength of spectral lines decreases, they appear

A proton and α-particle are accelerated through different potentials V₁ and V₂ respectively so that they have the same de Broglie wavelengths. Find V₁/V₂.