Bohr's Model & Hydrogen Spectrum: JEE Questions & Solutions

The energy of an electron in an orbit of the Bohr's atom is -0.04 E₀ eV where E₀ is the ground state energy. If L is the angular momentum…

The smallest wavelength of Lyman series is 91 nm. The difference between the largest wavelengths of Paschen and Balmer series is nearly nm.

In hydrogen atom spectrum, (R → Rydberg's constant) A. the maximum wavelength of the radiation of Lyman series is 4/3R B. the Balmer series…

Two electrons are moving in orbits of two hydrogen like atoms with speeds 3×10⁵ m/s and 2.5×10⁵ m/s respectively. If the radii of these…

An electron in the ground state of the hydrogen atom has the orbital radius of 5.3 × 10⁻¹¹ m while that for the electron in the third…

An electron projected perpendicular to a uniform magnetic field B moves in a circle. If Bohr’s quantization is applicable, then the radius…

During the transition of an electron from state A to state C of a Bohr atom, the wavelength of emitted radiation is 2000 Å, and it becomes…

The frequency of revolution of the electron in Bohr’s orbit varies with n, the principal quantum number as:

The number of spectral lines emitted by atomic hydrogen that is in the 4th energy level is:

Considering Bohr's atomic model for hydrogen atom: (A) the energy of H atom in ground state is same as energy of He⁺ ion in its first…

Assuming the validity of Bohr's atomic model for hydrogen like ions, the radius of Li²⁺ ion in its ground state is given by 1/Xa₀, where X…

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: The Bohr model is…

An electron in the hydrogen atom initially in the fourth excited state makes a transition to n^th energy state by emitting a photon of…

Considering the Bohr model of hydrogen like atoms, the ratio of the radius 5^th orbit of the electron in Li²⁺ and He⁺ is

Given below are two statements: Statement (I): The dimensions of Planck’s constant and angular momentum are same. Statement (II): In Bohr’s…

In a hydrogen-like ion, the energy difference between the 2^nd excitation energy state and ground is 108.8 eV. The atomic number of the ion…

For a hydrogen atom, the ratio of the largest wavelength of the Lyman series to that of the Balmer series is:

If Rydberg’s constant is R, the longest wavelength of radiation in Paschen series will be α/7R, where α =:

When a hydrogen atom going from n = 2 to n = 1 emits a photon, its recoil speed is x/5 m/s. Where x =. (Use: mass of hydrogen atom = 1.6 ×…

Hydrogen atom is bombarded with electrons accelerated through a potential difference V, which causes excitation of hydrogen atoms. If the…

The ratio of the magnitude of the kinetic energy (KE) to the potential energy (PE) of an electron in the 5th excited state of a hydrogen…

An electron in a hydrogen atom has energy Eₙ = -0.85 eV in an excited state. The maximum number of allowed transitions to lower energy…

An electron revolving in the nth Bohr orbit has a magnetic moment μ. If μₙ is the value of μ, the value of x is:

If the wavelength of the first member of the Lyman series of hydrogen is λ, the wavelength of the second member will be:

A hydrogen atom in ground state is given an energy of 10.2 eV. How many spectral lines will be emitted due to the transition of electrons?

A photon is emitted in transition from n = 4 to n = 1 level in hydrogen atom. The corresponding wavelength for this transition is (given, h…

The wavelength of the radiation emitted is λ₀ when an electron jumps from the second excited state to the first excited state of the…

The energy levels of an atom is shown in figure. Which one of these transitions will result in the emission of a photon of wavelength 124.1…

Speed of an electron in Bohr's 7^th orbit for Hydrogen atom is 3.6 × 10⁶ m/s. The corresponding speed of the electron in the 3^rd orbit, in…

For hydrogen atom, λ₁ and λ₂ are the wavelengths corresponding to the transitions 1 and 2, respectively, as shown in the figure. The ratio…

The radius of electron's second stationary orbit in Bohr's atom is R. The radius of the 3rd orbit will be:

If the binding energy of the ground state electron in a hydrogen atom is 13.6 eV, then the energy required to remove the electron from the…

A light of energy 12.75 eV is incident on a hydrogen atom in its ground state. The atom absorbs the radiation and reaches to one of its…

An electron of a hydrogen-like atom, having Z = 4, jumps from 4^th energy state to 2^nd energy state. The energy released in this process,…

The energy levels of a hydrogen atom, and four transitions between them, are shown below. | Transition | From | To | | --- | --- | --- | |…

The radius of the fifth orbit of Li⁺⁺ is × 10⁻¹² m. Take the radius of hydrogen atom = 0.51 Å.

Experimentally it is found that 12.8 eV energy is required to separate a hydrogen atom into a proton and an electron. So the orbital radius…

The angular momentum of an electron in Bohr's orbit is L. If the electron is assumed to revolve in the second orbit of a hydrogen atom, the…

If 917 Å be the lowest wavelength of Lyman series, then the lowest wavelength of Balmer series will be Å.

A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit…

The energy of He⁺ ion in its first excited state is, (The ground state energy for the Hydrogen atom is -13.6 eV):

A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be:

The radius of the 2^nd orbit of He⁺ of Bohr's model is r₁ and that of the fourth orbit of Be³⁺ is represented as r₂. Now the ratio r₂/r₁ is…

An atom absorbs a photon of wavelength 500 nm and emits another photon of wavelength 600 nm. The net energy absorbed by the atom in this…

As per the given figure, A, B and C are the first, second and third excited energy levels of the hydrogen atom respectively. If the ratio…