Embibe Experts Solutions for Chapter: Atomic Physics, Exercise 3: Exercise-3

An electron of a stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emissiór will be

The ratio of kinetic enerav to the total energy of an electron in a Bohr orbit of the hydrogen atom, is

Find the energy required for the electron excitation in $L{i}^{2+}$from the first to the third Bohr orbit .

An electron bean is acceleration by a potential difference $V$ to hit a metallic target to produce $X-$rays. It produces continuous as well as characteristic $X-$rays. If ${\mathrm{\lambda }}_{\min }$ is the smallest possible wavelength of ${\lambda }_{\min }$ ray in the spectrum, the variation of $\log {\lambda }_{\min }$ with $\log V$is correctly represented in

If the series limit frequency of the Lyman series is ${\nu }_L$, then the series limit frequency of the Pfund series is,

An electron from various excited states of hydrogen atom emit radiation to come to the ground state. Let ${\lambda }_{n,}{\lambda }_g$  be the de Broglie wavelength of the electron in the ${\mathrm{n}}^{\mathrm{th}}$ state and the ground state respectively. Let  ${\wedge }_n$ be the wavelength of the emitted photon in the transition from the ${\mathrm{n}}^{\mathrm{th}}$state to the ground state. For large n, ($\mathrm{A},\mathrm{B}$are constants).

A hydrogen atom, initially in the ground state is excited by absorbing a photon of wavelength $980 \stackrel{\circ }{\mathrm{A}}$. The radius of the atom in the excited state, in terms of Bohr radius ao, will be: $\left(hc=12500 \mathrm{eV} \stackrel{\circ }{\mathrm{A}}\right)$

A particle of mass $m$ moves in a circular orbit in a central potential field $U\left(r\right)=\frac{1}{2}k{r}^2$. If Bohr's quantization conditions are applied, radii of possible orbitals and energy levels vary with quantum number $n$ as