K K Sharma Solutions for Chapter: Atoms, Exercise 1: TOPICWISE QUESTIONS

A sample of hydrogen gas is excited by means of a monochromatic radiation. In the subsequent emission spectrum, $10$ different wavelengths are obtained, all of which have energies greater than or equal to the energy of the absorbed radiation. Find the initial quantum number of the state (before absorbing the radiation).

Ultraviolet light of wavelengths $830 \stackrel{\circ }{\mathrm{A}}$ and $700 \stackrel{\circ }{\mathrm{A}}$, when allowed to fall on hydrogen atoms in their ground state, is found to liberate electrons with kinetic energy $1.8 \mathrm{eV}$ and $4.0 \mathrm{eV}$, respectively. Find the value of Planck's constant.

The wavelength of the first member of the Balmer series, in hydrogen spectrum, is $6563 \stackrel{\circ }{\mathrm{A}}$. Calculate the wavelength of first member of Lyman series in the same spectrum.

The wavelength of $D_1$ and $D_2$ lines of sodium are$5890 \stackrel{\circ }{\mathrm{A}}$ and $5896 \stackrel{\circ }{\mathrm{A}}$, respectively. If their mean wavelength is $6000 \stackrel{\circ }{\mathrm{A}}$, then the difference of excited energy states will be

A photon was absorbed by a hydrogen atom in its ground state and the electron was promoted to the fifth orbit. When the excited atom is returned to its ground state, visible and other quanta were emitted. In this process, how many maximum spectral lines could be obtained?

An electron collides with a fixed hydrogen atom in its ground state. Hydrogen atom gets excited and the colliding electron loses all its kinetic energy. Consequently, the hydrogen atom may emit a photon corresponding to the largest wavelength of the Balmer series. The kinetic energy of the colliding electron is given by $\frac{24.2}{N} \mathrm{eV}$. Find the value of $N$.

Choose the correct statement for hydrogen and deuterium atoms (considering the motion of nucleus).

Neglecting the reduced mass effects, what optical transition in the ${\mathrm{He}}^{+}$ spectrum would have the same wavelength as the first Lyman transition of hydogen $(n=2 \mathrm{to}\mathit{ }n=1)$?