An ion X³⁺ is obtained from an element X (atomic mass 27 and atomic number 13). The number of protons, electrons and neutrons in X³⁺ is respectively :

The correct option is 13, 10 and 14.

Let us determine the number of protons, electrons, and neutrons step-by-step for the ion ${\text{X}}^{3+}$:

1. Number of Protons:
The atomic number ($\text{Z}$) of an element represents the total number of protons present in its nucleus. Given that element $\text{X}$ has an atomic number of 13, the number of protons remains unchanged during ion formation.
$\text{Number of protons}=13$

2. Number of Electrons:
A neutral atom of element $\text{X}$ contains an equal number of protons and electrons (13 electrons). The ion ${\text{X}}^{3+}$ is formed by losing 3 electrons.
$\text{Number of electrons}=13-3=10$

3. Number of Neutrons:
The mass number ($\text{A}$) is the sum of protons and neutrons in the nucleus. Given that the atomic mass (mass number) is 27:
$\text{Number of neutrons}=\text{Mass number}-\text{Atomic number}$
$\text{Number of neutrons}=27-13=14$

Therefore, the number of protons, electrons, and neutrons in ${\text{X}}^{3+}$ is 13, 10, and 14 respectively.