Embibe Experts Solutions for Chapter: Dual Nature of Matter and Radiation, Exercise 3: BEGINNER'S BOX - 3

The de-Broglie wavelength of an electron, accelerated by potential $V$ is $\lambda$. What will be the de-Broglie wavelength of the electron which is accelerated by $4V$ potential?

The ratio of de-Broglie wavelengths of molecules of hydrogen and helium which are at temperature $27°\mathrm{C}$ and $127°\mathrm{C}$ respectively is

A particle of mass $M$ at rest decays into two particles of masses $m_1$ and $m_2$ having non-zero velocities. Find out the ratio of the de-Broglie wavelengths of the two particles.

Find out the velocity of an electron, so that its momentum is equal to that of a photon with a wavelength of $\lambda =5200 \stackrel{\circ }{\mathrm{A}}$.

Find out voltage applied to an electron microscope to produce electron of wavelength $0.6 \stackrel{\circ }{\mathrm{A}}$.

What is the effective mass of a photon having wavelength $\lambda$?