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"No two electrons in an atom can have the same set of all the four quantum numbers" - is the statement of:
1. Pauli's principle
2. Heisenberg's principle
3. Hund's rule
4. Aufbau principle

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Correct Answer - Option 1 : Pauli's principle

The correct option is ​Pauli's principle

Concept:

Quantum Numbers: Quantum numbers are a certain set of numbers for an electron that signifies its position and energy.

The different quantum numbers for electron are

Principle Quantum Number It signifies the principle orbital starting from n = 0. For example, the quantum number for K shell is 1, L is 2.
Azimuthal Quantum Number It signifies the number of subshells in a given quantum Number. The different subshells are represented by s, p, d, f.
Magnetic Quantum Number The motion of electrons produces a magnetic field that is signified by magnetic quantum number m. The number of magnetic quantum number is denoted as 2l +1, l is sub shell level. For s, l =0, p l =2, and so on.
Spin Quantum Number The electron in an orbit revolves around the nucleus and spins on its axis. This represented by a spin quantum number. For two electrons in the same orbit, the direction of spin is opposite to each other.

 

  • In an orbital, only two electrons can be present, both will be having opposite spins, and hence different spin quantum 
  • So, for two electrons in the same orbit, principle, azimuthal and spin quantum numbers can be the same, but the spin quantum number cannot be the same.
  • Therefore, Pauli's principle states "No two electrons in an atom can have the same set of all the four quantum numbers"

  • Heisenberg's principle says it is impossible to predict the exact momentum and position of an electron in an atom at the same time.
  • Hund's rule states the lowest electronic configuration state has the maximum number of parallelly spinning electrons.
  • Aufbau principle: It states that electrons are filled in orbits according to the increasing order of the energy of the orbit.

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