Bohr’s Model of Hydrogen Atom

IMPORTANT

Bohr’s Model of Hydrogen Atom: Overview

This topic covers concepts such as Bohr Model, Bohr Postulates of H-atom, Hydrogen like Atoms, Angular Momentum in Nth Orbit, Derivation of Electron Speed in H-atom Using Bohr Model, Stationary States of the Atom, Principal Quantum Number, etc.

Important Questions on Bohr’s Model of Hydrogen Atom

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IMPORTANT

The energy of the electron, the hydrogen atom, is known to be expressible in the form

E n = 13.6 eV n 2 ( n=1,2,3,.......... )

Use this expression, which of the following statement is/are true?

(i) Electron in the hydrogen atom cannot have energy of 2 eV.

(ii) Spacing between the lines (consecutive energy levels) within the given set of the observed hydrogen spectrum decreases as n increases.

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The ground state energy of the hydrogen atom is 13.6 eV . The kinetic and potential energies of electrons in this state are:

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Find the ratio of energies of photons produced due to the transition of an electron of a hydrogen atom from its
(i) second permitted energy level to the first level, and
(ii) the highest permitted energy level to the first permitted level.

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For a hydrogen atom the value of ionization energy is equal to:

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The ground state energy of the hydrogen atom is 13.6 eV. If the electron jumps to the ground state from the third excited state, the wavelength of the emitted photon is

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The ground state energy of hydrogen atom is -13.6 eV.

(i) What is the kinetic energy of an electron in the 2nd excited state?

(ii) If the electron jumps to the ground state from the 2nd excited state, calculate the wavelength of the spectral line emitted.

MEDIUM
IMPORTANT

The frequency of radiation emitted when the electron falls from   n=4ton=1 in a hydrogen atom will be (Given ionization energy of   H=2.18× 10 18 Jato m 1 andh=6.625× 10 34 Js )

                                                                                                                                                                                                                               

MEDIUM
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In hydrogen atom, energy of first excited state is   3.4eV . Find out KE of the same orbit of Hydrogen atom

                                                                                                                                                                                                                               

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According to Bohr’s theory the energy required for an electron in the   L i 2+  ion to be emitted from n = 2 state is (given that the ground state ionization energy of hydrogen atom is 13.6 eV)

                                                                                                                                                                                                                               

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The Bohr orbit radius for the hydrogen atom (n = 1) is approximately   0.530Å.  The radius for the first excited state (n = 2) orbit is   (inÅ)

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The recoil speed of a hydrogen atom after it emits a photon in going from n=5 state to n=1 state is

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The Bohr radius of the fifth electron of the phosphorous atom (atomic number=15) acting as a dopant in silicon (relative dielectric constant=12) is

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The Bohr radius of the fifth electron of phosphorous atom (atomic number=15) acting as a dopant in silicon (relative dielectric constant=12) is ___________ Å

HARD
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The Bohr radius of the fifth electron of phosphorous atom (atomic number =15) acting as a dopant in silicon (relative dielectric constant =12) is ___________ A.

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According to Bohr’s postulates, which of the following quantity takes discrete values?

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The value of (h bar) is _______ erg-sec.

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Given the value of Rydberg constant is 1×107 m-1, the wave number of the last line of the Balmer series in hydrogen spectrum will be..

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If orbits of n greater than 4 are not allowed, the maximum number of elements in nature would be

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The allowed energy levels of electrons in a Hydrogen atom are given by En=-13.6n2 eV. For electronic transition in Hydrogen atom, what is the maximum frequency of the emitted photon?

h=6.62×10-34Js; e=1.6×10-19C

EASY
IMPORTANT

Orbit velocity of hydrogen atomv varies with number of orbit n as