Select the correct answer.

Read the information about the three atoms given in the table. Which of them are isotopes of each other?

\begin{tabular}{|c|c|c|}
\hline Atoms & Atomic Number & Mass Number \\
\hline[tex]$X$[/tex] & 10 & 20 \\
\hline[tex]$Y$[/tex] & 10 & 21 \\
\hline[tex]$Z$[/tex] & 11 & 20 \\
\hline
\end{tabular}

A. [tex]$X$[/tex] and [tex]$Y$[/tex]
B. [tex]$X$[/tex] and [tex]$Z$[/tex]
C. [tex]$Y$[/tex] and [tex]$Z$[/tex]
D. [tex]$X, Y$[/tex], and [tex]$Z$[/tex]
E. There are no isotopes among these atoms



Answer :

Let's carefully examine whether the given atoms are isotopes of each other.

Isotopes are atoms that have the same atomic number but different mass numbers.

1. Comparing atoms [tex]\(X\)[/tex] and [tex]\(Y\)[/tex]:
- Atomic number of [tex]\(X\)[/tex] is 10.
- Atomic number of [tex]\(Y\)[/tex] is also 10.
- Both [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] have different mass numbers (20 and 21, respectively).

Since [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] have the same atomic number but different mass numbers, they are isotopes of each other.

2. Comparing atoms [tex]\(X\)[/tex] and [tex]\(Z\)[/tex]:
- Atomic number of [tex]\(X\)[/tex] is 10.
- Atomic number of [tex]\(Z\)[/tex] is 11.

Since [tex]\(X\)[/tex] and [tex]\(Z\)[/tex] have different atomic numbers, they are not isotopes of each other.

3. Comparing atoms [tex]\(Y\)[/tex] and [tex]\(Z\)[/tex]:
- Atomic number of [tex]\(Y\)[/tex] is 10.
- Atomic number of [tex]\(Z\)[/tex] is 11.

Since [tex]\(Y\)[/tex] and [tex]\(Z\)[/tex] have different atomic numbers, they are not isotopes of each other.

To summarize, from the given information:
- [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] are isotopes of each other.
- [tex]\(X\)[/tex] and [tex]\(Z\)[/tex] are not isotopes.
- [tex]\(Y\)[/tex] and [tex]\(Z\)[/tex] are not isotopes.

Therefore, the correct answer is:

A. [tex]\(X\)[/tex] and [tex]\(Y\)[/tex]