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Hydrogen atom has only one electron, so mutual repulsion between electrons is absent. However, in multielectron atoms mutual repulsion between the electrons is significant

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प्रश्न

Hydrogen atom has only one electron, so mutual repulsion between electrons is absent. However, in multielectron atoms mutual repulsion between the electrons is significant. How does this affect the energy of an electron in the orbitals of the same principal quantum number in multielectron atoms?

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उत्तर

The energy of electrons is determined by the value of n in the hydrogen atom and by `n + l` in the multielectron atom. Thus for a given principal quantum number the electrons of different orbitals would have different energy.

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पाठ 2: Structure of Atom - Multiple Choice Questions (Type - I) [पृष्ठ २०]

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एनसीईआरटी एक्झांप्लर Chemistry Exemplar [English] Class 11
पाठ 2 Structure of Atom
Multiple Choice Questions (Type - I) | Q 41 | पृष्ठ २०

संबंधित प्रश्‍न

Show that the circumference of the Bohr orbit for the hydrogen atom is an integral multiple of the de Broglie wavelength associated with the electron revolving around the orbit.


  1. Using the Bohr’s model, calculate the speed of the electron in a hydrogen atom in the n = 1, 2 and 3 levels.
  2. Calculate the orbital period in each of these levels.

if `E_p` and `E_k` represent potential energy and kinetic energy respectively, of an orbital electron, then, according to B9hr's theory:

a)`E_k = -E_p"/"2`

b) `E_k = -E_p`

c) `E_k = -2E_p`

d) `E_k = 2E_p`

 


Using Bohr’s postulates, obtain the expression for total energy of the electron in the nth orbit of hydrogen atom.


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


According to Maxwell's theory of electrodynamics, an electron going in a circle should emit radiation of frequency equal to its frequency of revolution. What should be the wavelength of the radiation emitted by a hydrogen atom in ground state if this rule is followed?


Calculate the magnetic dipole moment corresponding to the motion of the electron in the ground state of a hydrogen atom.


A beam of monochromatic light of wavelength λ ejects photoelectrons from a cesium surface (Φ = 1.9 eV). These photoelectrons are made to collide with hydrogen atoms in ground state. Find the maximum value of λ for which (a) hydrogen atoms may be ionized, (b) hydrogen atoms may get excited from the ground state to the first excited state and (c) the excited hydrogen atoms may emit visible light.


A neutron having kinetic energy 12.5 eV 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.


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.


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


A particle has a mass of 0.002 kg and uncertainty in its velocity is 9.2 × 10−6 m/s, then uncertainty in position is ≥ ____________.

(h = 6.6 × 10−34 J s)


For an electron in the second orbit of hydrogen, what is the moment of momentum as per the Bohr's model?


Which of these statements correctly describe the atomic model according to classical electromagnetic theory?


On the basis of Bohr's model, the approximate radius of Li++ ion in its ground state ifthe Bohr radius is a0 = 53 pm : 


The ground state energy of hydrogen atoms is -13.6 eV. The photon emitted during the transition of electron from n = 3 to n = 1 unknown work function. The photoelectrons are emitted from the material with a maximum kinetic energy of 9 eV. Calculate the threshold wavelength of the material used.


The energy of an electron in the first Bohr orbit of the H-atom is −13.6 eV. The energy value of an electron in the excited state of Li2+ is ______.


In hydrogen atom, transition from the state n = 6 to n = 1 results in ultraviolet radiation. Infrared radiation will be obtained in the transition ______.


The de Broglie wavelength of an electron in the first Bohr’s orbit of hydrogen atom is equal to ______.


Energy and radius of first Bohr orbit of He+ and Li2+ are:

[Given RH = −2.18 × 10−18 J, a0 = 52.9 pm]


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