English

Draw a Neat, Labelled Energy Level Diagram for H Atom Showing the Transitions. Explain the Series of Spectral Lines for H Atom, Whose Fixed Inner Orbit Numbers Are 3 and 4 Respectively.

Advertisements
Advertisements

Question

Draw a neat, labelled energy level diagram for H atom showing the transitions. Explain the series of spectral lines for H atom, whose fixed inner orbit numbers are 3 and 4 respectively.

Advertisements

Solution

Paschen series:
i. The spectral lines of this series correspond to the transition of an electron from some higher energy state to 3rd orbit.
ii. For paschen series, p = 3 and n = 4, 5,...
The wave numbers and the wavelengths of the spectral lines constituting the Paschen series are given by, 

`barv=1/lambda=R(1/3^2-1/n^2)`

iii. Paschen series lies in the infrared region of the spectrum which is invisible and contains infinite number of lines.

iv. Wavelengths for n = 4 and 5 are 18750 Å and 12820 Å respectively.

Brackett series:
i. The spectral lines of this series corresponds to the transition of an electron from a higher energy state to the 4th orbit.
ii. For this series, p = 4 and n = 5, 6, 7,...
The wave numbers and the wavelengths of the spectral lines constituting the Brackett series are given by,

`barv=1/lambda=R(1/4^2-1/n^2)`

iii. This series lies in the ne ar infrared region of the spectrum and contains infinite number of lines. Wavelengths for n = 5 and 6, are 40518 Å and 26253 Å respectively

shaalaa.com
  Is there an error in this question or solution?
2016-2017 (March)

APPEARS IN

RELATED QUESTIONS

Find the frequency of revolution of an electron in Bohr’s 2nd orbit; if the radius and speed of electron in that orbit is 2.14 × 10-10 m and 1.09 × 106 m/s respectively. [π= 3.142]


Calculate the radius of Bohr’s fifth orbit for hydrogen atom


What is the energy in joules, required to shift the electron of the hydrogen atom from the first Bohr orbit to the fifth Bohr orbit and what is the wavelength of the light emitted when the electron returns to the ground state? The ground state electron energy is –2.18 × 10–11 ergs.


The longest wavelength doublet absorption transition is observed at 589 and 589.6 nm. Calculate the frequency of each transition and energy difference between two excited states.


If the velocity of the electron in Bohr’s first orbit is 2.19 × 106 ms-1, calculate the de Broglie wavelength associated with it.


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`

 


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?


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?


Find the wavelength of the radiation emitted by hydrogen in the transitions (a) n = 3 to n= 2, (b) n = 5 to n = 4 and (c) n = 10 to n = 9.


Radiation coming from transition n = 2 to n = 1 of hydrogen atoms falls on helium ions in n = 1 and n = 2 states. What are the possible transitions of helium ions as they absorbs energy from the radiation?


Write postulates of Bohr’s Theory of hydrogen atom.


The spectral line obtained when an electron jumps from n = 5 to n = 2 level in hydrogen atom belongs to the ____________ series.


Which of the following is/are CORRECT according to Bohr's atomic theory?

(I) Energy is emitted when electron moves from a higher stationary state to a lower one.

(II) Orbits are arranged concentrically around the nucleus in an increasing order of energy.

(III) The energy of an electron in the orbit changes with time.


According to Bohr's model of hydrogen atom, an electron can revolve round a proton indefinitely, if its path is ______.


An ionised H-molecule consists of an electron and two protons. The protons are separated by a small distance of the order of angstrom. In the ground state ______.

  1. the electron would not move in circular orbits.
  2. the energy would be (2)4 times that of a H-atom.
  3. the electrons, orbit would go around the protons.
  4. the molecule will soon decay in a proton and a H-atom.

The mass of a H-atom is less than the sum of the masses of a proton and electron. Why is this?


When an electron falls from a higher energy to a lower energy level, the difference in the energies appears in the form of electromagnetic radiation. Why cannot it be emitted as other forms of energy?


Use Bohr's postulate to prove that the radius of nth orbit in a hydrogen atom is proportional to n2.


The electron in a hydrogen atom first jumps from the third excited state to the second excited state and subsequently to the first excited state. The ratio of the respective wavelengths, λ12, of the photons emitted in this process is ______. 


The energy required to remove the electron from a singly ionized Helium atom is 2.2 times the energy required to remove an electron from Helium atom. The total energy required to ionize the Helium atom completely is ______. 


Orbits of a particle moving in a circle are such that the perimeter of the orbit equals an integer number of de-Broglie wavelengths of the particle. For a charged particle moving in a plane perpendicular to a magnetic field, the radius of the nth orbital will therefore be proportional to:


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 Bohr's theory of hydrogen atom, the electron jumps from higher orbit n to lower orbit p. The wavelength will be minimum for the transition ______.


Oxygen is 16 times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is ______.


Specify the transition of an electron in the wavelength of the line in the Bohr model of the hydrogen atom which gives rise to the spectral line of the highest wavelength ______.


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 ______.


State the Bohr's postulate of angular momentum of an electron.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×