Question:

In hydrogen and hydrogen like species, orbital energy depends only on the quantum number $n$ whereas in multi-electron atoms it depends on quantum numbers $n$ and $I$. The principal quantum number determines the size and the energy of the orbital.

Updated On: Jul 6, 2022
  • If both assertion and reason are true and reason is the correct explanation of assertion.
  • If both assertion and reason are true but reason is not the correct explanation of assertion.
  • If assertion is true but reason is false.
  • If both assertion and reason are false.
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The Correct Option is B

Solution and Explanation

Hydrogen and hydrogen-like species contains on electron only. Thus the electrostatic interaction is in between the positively charged nucleus $(+Z e)$ and negatively charged electron (-e). Thus energy depends only on the value of principal quantum number n. $n$ also determines the size of the orbital. Whereas in case of multi-electron atoms, along with attraction between nucleus and electron they also posses electron-electron repulsion within an orbital. And thus the energy depends on both $n$ and l values where $l =$ azimuthal quantum number.
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Notes on Structure of atom

Concepts Used:

Structure of Atom

Atomic Structure:

The atomic structure of an element refers to the constitution of its nucleus and the arrangement of the electrons around it. Primarily, the atomic structure of matter is made up of protons, electrons and neutrons.

Dalton’s Atomic Theory

Dalton proposed that every matter is composed of atoms that are indivisible and indestructible. 

The following are the postulates of his theory:

  • Every matter is made up of atoms.
  • Atoms are indivisible.
  • Specific elements have only one type of atoms in them.
  • Each atom has its own constant mass that varies from element to element.
  • Atoms undergo rearrangement during a chemical reaction.
  • Atoms can neither be created nor be destroyed but can be transformed from one form to another.

Cons of Dalton’s Atomic Theory

  • The theory was unable to explain the existence of isotopes.
  • Nothing about the structure of atom was appropriately explained.
  • Later, the scientists discovered particles inside the atom that proved, the atoms are divisible.

​​Subatomic Particles

  1. Protons - are positively charged subatomic particles.
  2. Electron - are negatively  charged subatomic particles.
  3. Neutrons - are electrically neutral particles and carry no charge

Atomic Structure of Isotopes

Several atomic structures of an element can exist, which differ in the total number of nucleons.These variants of elements having a different nucleon number (also known as the mass number) are called isotopes of the element. Therefore, the isotopes of an element have the same number of protons but differ in the number of neutrons.  For example, there exist three known naturally occurring isotopes of hydrogen, namely, protium, deuterium, and tritium.