Question

The azimuthal quantum number indicates the angular momentum of an electron.

• A. True
• B. False

Answer 1

The correct option is A True

• Bohr’s atomic model laid down various postulates for the arrangement of electrons in different orbits around the nucleus.
• According to Bohr’s atomic model, the angular momentum of electrons orbiting around the nucleus is quantized.
• He further added that electrons move only in those orbits where the angular momentum of an electron is an integral multiple of $\mathrm{h}/2.$.
• This postulate regarding the quantisation of angular momentum of an electron was later explained by Louis de Broglie. According to him, a moving electron in its circular orbit behaves like a particle wave.
• The angular momentum of an electron by Bohr is given by mvr or $\mathrm{nh}/2\mathrm{\pi }$ (where v is the velocity, n is the orbit in which the electron is, m is mass of the electron, and r is the radius of the nth orbit).
• The orbital angular momentum of an electron can be obtained using
• $L=\sqrt{l(l+1)}\frac{h}{2\pi }$
• Here l is the azimuthal quantum number and h is Planck’s constant

Therefore, the given statement is true. i.e., the azimuthal quantum number indicates the angular momentum of an electron.