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.

Which one of the following is the correct graph between the maximum kinetic energy (Kₘ) of the emitted photoelectrons and the frequency of incident radiation (v) for a given photosensitive surface ?

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.