Question

Observe the following data.

Ion	Q4+	Xb+	Yc+	Zd+
Radius (pm)	53	66	40	100

Q⁴⁺, X^b+, Y^c+, Z^d+ are respectively

• A. Mg\textsuperscript{2+}, Al\textsuperscript{3+}, Na\textsuperscript{+}, Si\textsuperscript{4+}
• B. Al\textsuperscript{3+}, Si\textsuperscript{4+}, Mg\textsuperscript{2+}, Na\textsuperscript{+}
• C. Mg\textsuperscript{2+}, Si\textsuperscript{4+}, Al\textsuperscript{3+}, Na\textsuperscript{+}
• D. Al\textsuperscript{3+}, Mg\textsuperscript{2+}, Si\textsuperscript{4+}, Na\textsuperscript{+}

Hint:

Smaller ionic radii correspond to ions with higher positive charge and greater effective nuclear charge.

Answer 1

The Correct Option is D

Step 1: Understand the trend in ionic radius
Ionic radius decreases with increasing nuclear charge (Z) and higher positive charge for the same electron configuration. Step 2: Match ions with given radii
Given radii (in pm): Z\(^+\) = 100 largest \(\text{Na}^+\)
X\(^b+\) = 66 next \(\text{Mg}^{2+}\)
Q\(^4+\) = 53 smaller \(\text{Al}^{3+}\)
Y\(^c+\) = 40 smallest \(\text{Si}^{4+}\) Step 3: Assign ions to the given radii order
\[ \text{Q}^{4+} = \text{Al}^{3+},
\text{X}^{b+} = \text{Mg}^{2+},
\text{Y}^{c+} = \text{Si}^{4+},
\text{Z}^{d+} = \text{Na}^{+} \] Step 4: Final Answer
\[ \boxed{\text{Al}^{3+}, \text{Mg}^{2+}, \text{Si}^{4+}, \text{Na}^{+}} \]