Question

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.

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.

What are matter waves ? A particle of mass m and charge q is accelerated from rest through a potential difference V. Obtain an expression for de Broglie wavelength associated with the particle.

Monochromatic light of frequency 5.0 × 10¹⁴ Hz is produced by a source of power output 3.315 mW. Calculate : (1) energy of the photon in the beam (2) number of photons emitted per second by the source