Bohr’s Model and Physics of Atom Physics - Bohr’s Model and Physics of Atom

In which of the following systems will the wavelength corresponding to n = 2 to n = 1 be minimum?

1. Hydrogen atom.
2. Deuterium atom.
3. Singly ionized helium.
4. Doubly ionized lithium.

A hydrogen atom in ground state absorbs 10.2eV of energy. The orbital angular momentum of the electron is increased by:

1. 1.05 × 10^-34Js
2. 2.11 × 10^-34Js
3. 3.16 × 10^-34Js
4. 4.22 × 10^-34Js

In which of the following systems will the radius of the first orbit (n = 1) be minimum?

1. Hydrogen atom.
2. Deuterium atom.
3. Singly ionized helium.
4. Doubly ionized lithium.

Evaluate Rydberg constant by putting the values of the fundamental constants in its expression.

Balmer series was observed and analysed before the other series. Can you suggest a reason for such an order?

A neutron having kinetic energy 12.5eV collides with a hydrogen atom at rest. Nelgect the difference in mass between the neutron and the hydrogen atom and assume that the neutron does not leave its line of motion. Find the possible kinetic energies of the neutron after the event.

Which wavelengths will be emitted by a sample of atomic hydrogen gas (in ground state) if electrons of energy 12.2eV collide with the atoms of the gas?

Whenever a photon is emitted by hydrogen in Balmer series, it is followed by another photon in Lyman series. What wavelength does this latter photon correspond to?

A hot gas emits radiation of wavelengths 46.0nm, 82.8nm and 103.5nm only. Assume that the atoms have only two excited states and the difference between consecutive energy levels decreases as energy is increased. Taking the energy of the highest energy state to be zero, find the energies of the ground state and the first excited state.

When a photon is emitted from an atom, the atom recoils. The kinetic energy of recoil and the energy of the photon come from the difference in energies between the states involved in the transition. Suppose, a hydrogen atom changes its state from n = 3 to n = 2. Calculate the fractional change in the wavelength of light emitted, due to the recoil.

Show that the ratio of the magnetic dipole moment to the angular momentum (l = mvr) is a universal constant for hydrogen-like atoms and ions. Find its value.

When white radiation is passed through a sample of hydrogen gas at room temperature, absorption lines are observed in Lyman series only. Explain.

Consider a neutron and an electron bound to each other due to gravitational force. Assuming Bohr's quantization rule for angular momentum to be valid in this case, derive an expression for the energy of the neutron-electron system.

We have stimulated emission and spontaneous emission. Do we also have stimulated absorption and spontaneous absorption?

The difference in the frequencies of series limit of Lyman series and Balmer series is equal to the frequency of the first line of the Lyman series. Explain.