Question

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

Calculate the wavelength of de Broglie waves associated with a proton having (500/1·673) eV energy. How will the wavelength be affected for an alpha particle having the same energy ?