Advertisements
Advertisements
प्रश्न
Explain, giving reasons, which of the following sets of quantum numbers are not possible.
- n = 0, l = 0, ml = 0, ms = + ½
- n = 1, l = 0, ml = 0, ms = – ½
- n = 1, l = 1, ml = 0, ms = + ½
- n = 2, l = 1, ml = 0, ms = – ½
- n = 3, l = 3, ml = –3, ms = + ½
- n = 3, l = 1, ml = 0, ms = + ½
Advertisements
उत्तर
a. n = 0, l = 0, mₗ = 0, mₛ = +½
Not possible, because n cannot be 0.
b. n = 1, l = 0, mₗ = 0, mₛ = –½
Possible, because all values follow rules (l < n, mₗ = 0, valid mₛ).
c. n = 1, l = 1, mₗ = 0, mₛ = +½
Not possible, because for n = 1, l must be 0 (since l = 0 to n – 1).
d. n = 2, l = 1, mₗ = 0, mₛ = –½
Possible, all values valid.
e. n = 3, l = 3, mₗ = –3, mₛ = +½
Not possible, because l cannot be equal to n; it must be less than n.
f. n = 3, l = 1, mₗ = 0, mₛ = +½
Possible, all values valid.
APPEARS IN
संबंधित प्रश्न
State Bohr’s third postulate for hydrogen (H2) atom. Derive Bohr’s formula for the wave number. Obtain expressions for longest and shortest wavelength of spectral lines in ultraviolet region for hydrogen atom
(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.
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]
The radius of the innermost electron orbit of a hydrogen atom is 5.3 × 10−11 m. What are the radii of the n = 2 and n = 3 orbits?
Using Bohr’s postulates, derive the expression for the frequency of radiation emitted when electron in hydrogen atom undergoes transition from higher energy state (quantum number ni) to the lower state, (nf).
When electron in hydrogen atom jumps from energy state ni = 4 to nf = 3, 2, 1, identify the spectral series to which the emission lines belong.
Balmer series was observed and analysed before the other series. Can you suggest a reason for such an order?
According to Bohr, 'Angular momentum of an orbiting electron is quantized'. What is meant by this statement?
Write postulates of Bohr’s Theory of hydrogen atom.
According to Bohr's theory, an electron can move only in those orbits for which its angular momentum is integral multiple of ____________.
The radius of the third Bohr orbit for hydrogen atom is ____________.
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)
Calculate the energy and frequency of the radiation emitted when an electron jumps from n = 3 to n = 2 in a hydrogen atom.
Derive an expression for the frequency of radiation emitted when a hydrogen atom de-excites from level n to level (n – 1). Also show that for large values of n, this frequency equals to classical frequency of revolution of an electron.
The angular momentum of electron in nth orbit is given by
Given below are two statements:
Statements I: According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increases with decrease in positive charges on the nucleus as there is no strong hold on the electron by the nucleus.
Statement II: According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increase with a decrease in principal quantum number.
In light of the above statements, choose the most appropriate answer from the options given below:
The number of times larger the spacing between the energy levels with n = 3 and n = 8 spacing between the energy level with n = 8 and n = 9 for the hydrogen atom is ______.
A 20% efficient bulb emits light of wavelength 4000 Å. If the power of the bulb is 1 W, the number of photons emitted per second is ______.
[Take, h = 6.6 × 10-34 J-s]
The total energy of an electron in the nth orbit of the hydrogen atom is proportional to ______.
The radius of hydrogen atom in the ground state is 0.53 Å. The radius of Li2+ ion (atomic number = 3) in a similar state is ______.
