Embibe Experts Solutions for Chapter: Atomic Physics, Exercise 1: Exercise-1

The diagram shown the energy levels for an electron in a certain atom. Which transition shown represents the emission of a photon with the most energy?

In problems involving electromagnetism it is often convenient and informative to express answers in terms of a constant, $\alpha$, which is a combination of the Coulomb constant, $k_e=\frac{1}{4\pi {\epsilon }_0}$, the charge of the electron, $e$, and $\hslash =\frac{h}{2}, h$ being Planck's constant. For instance, the lowest energy that a hydrogen atom can have is given by $E=\frac{1}{2{\alpha }^{2}m{c}^2}$, where $m$ is the mass of the electron and $\mathrm{c}$ is the speed of light. Which of the following is the correct expression for $\alpha$?

(HINT: non-relativistic kinetic energy is $\frac{1}{2{\mathrm{mv}}^2}$, where $v$ is speed.)

The velocity of an electron in single electron atom in an orbit

The energy level diagram is for a hypothetical atom. A gas of these atoms initially in the ground state is irradiated with photons having a continuous range of energies between $7$ and $10$ electron volts. One would) expect photons of which of the following energies to be emitted from the gas?

In a hypothetical system a particle of mass $m$ and charge$-3 q$ is moving around a very heavy particle having charge $q$. Assuming Bohr's model to be true to this system, the orbital velocity of mass $m$ when it is nearest to heavy particle is

The diagram to the right shows the lowest four energy levels for an electron in a hypothetical atom. The electron is excited to the $-1\mathrm{eV}$ level of the atom and transitions to the lowest energy state by emitting only two photons. Which of the following energies could not belong to either of the photons?

Which of the following are the characteristics required for the target to produce $X$-rays

The production of characteristic X-rays is due to-