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Question

The first electron shell which is the nearest to the nucleus never holds more than 'n' electrons, where 'n' is equal to:

This question was previously asked in
SSC CGL 2019 (Tier 2) GS Finance & Economics Previous Year Paper (17-Nov-2020)
The correct answer is

2

Understanding Electron Shells and Electron Capacity

Atoms are made up of a nucleus at the center, surrounded by electrons orbiting in specific energy levels or shells. These electron shells are sometimes referred to as energy levels, and they are numbered starting from the one closest to the nucleus. The shell closest to the nucleus is called the first electron shell (n=1), the next is the second electron shell (n=2), and so on.

The First Electron Shell (n=1)

The number of electrons that can occupy a particular electron shell is limited. Each shell can hold a maximum number of electrons, which increases as you move further away from the nucleus. The first electron shell is the simplest case.

  • It is the shell with the lowest energy level.
  • It is designated by the principal quantum number n=1.
  • It is the shell nearest to the nucleus.

Maximum Electrons in the First Shell

The electron capacity of a shell depends on the subshells it contains. The first electron shell (n=1) contains only one type of subshell, which is the 's' subshell. An 's' subshell contains only one orbital, and each atomic orbital can hold a maximum of two electrons.

Therefore, for the first electron shell:

  • Number of subshells = 1 (only 's')
  • Number of orbitals in 's' subshell = 1
  • Maximum electrons per orbital = 2
  • Total maximum electrons in the first shell = (Number of orbitals) × (Maximum electrons per orbital)
  • Total maximum electrons in the first shell = 1 × 2 = 2

This means the first electron shell, which is the nearest to the nucleus, can never hold more than 2 electrons.

While there is a general formula to calculate the maximum number of electrons in a shell (using the principal quantum number 'n'), given by $2n^2$, applying it to the first shell (n=1) confirms this:

Maximum electrons for n=1 = $2 \times (1)^2 = 2 \times 1 = 2$.

This confirms that the maximum number of electrons the first shell can hold is 2.

Revision Table: Electron Shell Capacity

Electron Shell (n) Nearest/Furthest Number of Subshells Maximum Electrons ($2n^2$)
1 Nearest to nucleus 1 ('s') 2
2 Further than shell 1 2 ('s', 'p') 8
3 Further than shell 2 3 ('s', 'p', 'd') 18
4 Further than shell 3 4 ('s', 'p', 'd', 'f') 32

Additional Information on Electron Configuration

Understanding electron shells and their capacity is fundamental to predicting how atoms will interact and form chemical bonds. The arrangement of electrons in these shells and subshells determines an element's chemical properties. The filling of electrons follows specific rules like the Aufbau principle, Hund's rule, and the Pauli exclusion principle. The fact that the first shell holds only 2 electrons explains why Hydrogen (1 electron) and Helium (2 electrons) have relatively simple electron configurations and unique properties compared to elements with electrons in higher shells.

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