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
On the basis of Bohr's theory, derive an expression for the radius of the nth orbit of an electron of the hydrogen atom.
Using Bohr's postulates, derive the expression for the orbital period of the electron moving in the nth orbit of 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?
Which of the following parameters are the same for all hydrogen-like atoms and ions in their ground states?
A neutron moving with a speed υ strikes a hydrogen atom in ground state moving towards it with the same speed. Find the minimum speed of the neutron for which inelastic (completely or partially) collision may take place. The mass of neutron = mass of hydrogen = 1.67 × 10−27 kg.v
Use Bohr’s model of hydrogen atom to obtain the relationship between the angular momentum and the magnetic moment of the revolving electron.
The dissociation constant of a weak base (BOH) is 1.8 × 10−5. Its degree of dissociation in 0.001 M solution is ____________.
For an electron in the second orbit of hydrogen, what is the moment of momentum as per the Bohr's model?
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?
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.
A set of atoms in an excited state decays ______.
If a proton had a radius R and the charge was uniformly distributed, calculate using Bohr theory, the ground state energy of a H-atom when (i) R = 0.1 Å, and (ii) R = 10 Å.
Use Bohr's postulate to prove that the radius of nth orbit in a hydrogen atom is proportional to n2.
An electron in H-atom makes a transition from n = 3 to n = 1. The recoil momentum of the H-atom will be ______.
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, λ1/λ2, of the photons emitted in this process is ______.
If 13.6 eV energy is required to ionize the hydrogen atom, then the energy required to remove an electron from n = 2 is ______.
A hydrogen atom in is ground state absorbs 10.2 eV of energy. The angular momentum of electron of the hydrogen atom will increase by the value of ______.
(Given, Planck's constant = 6.6 × 10-34 Js)
The total energy of an electron in the nth orbit of the hydrogen atom is proportional to ______.
State three postulates of Bohr's theory of hydrogen atom.
Energy and radius of first Bohr orbit of He+ and Li2+ are:
[Given RH = −2.18 × 10−18 J, a0 = 52.9 pm]
