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.
संबंधित प्रश्न
Calculate the radius of Bohr’s fifth orbit for hydrogen atom
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.
Using Bohr's postulates, derive the expression for the total energy of the electron in the stationary states of the hydrogen atom ?
The difference in the frequencies of series limit of Lyman series and Balmer series is equal to the frequency of the first line of the Lyman series. Explain.
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
The Bohr radius is given by `a_0 = (∈_0h^2)/{pime^2}`. Verify that the RHS has dimensions of length.
Evaluate Rydberg constant by putting the values of the fundamental constants in its expression.
Calculate the magnetic dipole moment corresponding to the motion of the electron in the ground state of a hydrogen atom.
When a photon is emitted by a hydrogen atom, the photon carries a momentum with it. (a) Calculate the momentum carries by the photon when a hydrogen atom emits light of wavelength 656.3 nm. (b) With what speed does the atom recoil during this transition? Take the mass of the hydrogen atom = 1.67 × 10−27 kg. (c) Find the kinetic energy of recoil of the atom.
The light emitted in the transition n = 3 to n = 2 in hydrogen is called Hα light. Find the maximum work function a metal can have so that Hα light can emit photoelectrons from it.
How are various lines of Lyman series formed? Explain on the basis of Bohr’s theory.
According to Bohr’s theory, the angular momentum of an electron in 5th orbit is ______.
In form of Rydberg's constant R, the wave no of this first Ballmer line is
The angular momentum of electron in nth orbit is given by
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 ______.
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:
In hydrogen atom, transition from the state n = 6 to n = 1 results in ultraviolet radiation. Infrared radiation will be obtained in the transition ______.
According to Bohr's theory, the radius of the nth Bohr orbit of a hydrogen like atom of atomic number Z is proportional to ______.
Find the angular momentum of an electron revolving in the second orbit in Bohr's hydrogen atom.
Using Bohr’s Theory of hydrogen atom, obtain an expression for the velocity of an electron in the nth orbit of an atom.
