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Calculate the energy and frequency of the radiation emitted when an electron jumps from n = 3 to n = 2 in a hydrogen atom.

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प्रश्न

Calculate the energy and frequency of the radiation emitted when an electron jumps from n = 3 to n = 2 in a hydrogen atom.

दीर्घउत्तर
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उत्तर

We have `bar(v) = 109766 [1/n_i^2 - 1/n_f^2]`

Given, ni = 3 and nf =2

ΔE = `hcbar(v) = 109677 [1/n_i^2 - 1/n_f^2]`

ΔE = `- 3.052 xx 10^-19` J

v = `(ΔE)/h -= 4.606 xx 10^16` Hz

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पाठ 2: Structure of Atom - Multiple Choice Questions (Type - I) [पृष्ठ २३]

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एनसीईआरटी एक्झांप्लर Chemistry Exemplar [English] Class 11
पाठ 2 Structure of Atom
Multiple Choice Questions (Type - I) | Q 54 | पृष्ठ २३

संबंधित प्रश्‍न

(i) State Bohr's quantization condition for defining stationary orbits. How does the de Broglie hypothesis explain the stationary orbits?

(ii) Find the relation between three wavelengths λ1, λ2 and λ3 from the energy-level diagram shown below.


Calculate the radius of second Bohr orbit in hydrogen atom from the given data.

Mass of electron = 9.1 x 10-31kg

Charge on the electron = 1.6 x 10-19 C

Planck’s constant = 6.63 x 10-34 J-s.

Permittivity of free space = 8.85 x 10-12 C2/Nm2


  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.

State Bohr's postulate to define stable orbits in the hydrogen atom. How does de Broglie's hypothesis explain the stability of these orbits?


In Bohr’s model of the hydrogen atom, the radius of the first orbit of an electron is r0 . Then, the radius of the third orbit is:

a) `r_0/9`

b) `r_0`

c) `3r_0`

d) `9r_0`


Using Bohr's postulates, derive the expression for the orbital period of the electron moving in the nth orbit of hydrogen atom ?


Using Bohr's postulates, derive the expression for the total energy of the electron in the stationary states of the hydrogen atom ?


The numerical value of ionization energy in eV equals the ionization potential in volts. Does the equality hold if these quantities are measured in some other units?


Suppose, the electron in a hydrogen atom makes transition from n = 3 to n = 2 in 10−8 s. The order of the torque acting on the electron in this period, using the relation between torque and angular momentum as discussed in the chapter on rotational mechanics is


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


According to Bohr, 'Angular momentum of an orbiting electron is quantized'. What is meant by this statement?


The energy of an electron in an excited hydrogen atom is - 3.4 eV. Calculate the angular momentum of the electron according to Bohr's theory. (h = 6.626 × 10-34 Js)


Ratio of longest to shortest wavelength in Balmer series is ______.


When an electric discharge is passed through hydrogen gas, the hydrogen molecules dissociate to produce excited hydrogen atoms. These excited atoms emit electromagnetic radiation of discrete frequencies which can be given by the general formula

`bar(v) = 109677 1/n_1^2 - 1/n_f^2`

What points of Bohr’s model of an atom can be used to arrive at this formula? Based on these points derive the above formula giving description of each step and each term.


The energy of an electron in hth orbit of hydrogen atom is –13.6/n2ev energy required to excite the electron from the first orbit to the third orbit is


According to Bhor' s theory the moment of momentum of an electron revolving in second orbit of hydrogen atom will be.


The Bohr model for the spectra of a H-atom ______.

  1. will not be applicable to hydrogen in the molecular from.
  2. will not be applicable as it is for a He-atom.
  3. is valid only at room temperature.
  4. predicts continuous as well as discrete spectral lines.

The radius of the innermost electron orbit of a hydrogen atom is 5.3 × 10–11m. The radius of the n = 3 orbit is ______.


The energy of an electron in the nth orbit of the hydrogen atom is En = -13.6/n2eV. The negative sign of energy indicates that ______.


The figure below is the Energy level diagram for the Hydrogen atom. Study the transitions shown and answer the following question:

  1. State the type of spectrum obtained.
  2. Name the series of spectrum obtained.


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