Concept:
Law of multiple proportions: For a fixed mass of oxygen, masses of nitrogen combine in simple ratios.
Step 1: Calculate mass ratio for each compound.
• $\text{N}_2\text{O}$:
28 g N combines with 16 g O
$\Rightarrow$ ratio = 28
• $\text{NO}$:
14 g N combines with 16 g O
$\Rightarrow$ ratio = 14
• $\text{NO}_2$:
14 g N combines with 32 g O
For 16 g O:
$\Rightarrow$ N = 7 g
Step 2: Write ratio.
\[
28 : 14 : 7
\]
Step 3: Simplify.
\[
4 : 2 : 1
\]
But question asks relative to $\text{N}_2\text{O}, \text{NO}, \text{NO}_2$ in same order:
\[
1 : 2 : 4
\]
Step 4: Conclusion.
Thus, ratio = $1 : 2 : 4$
Final Answer: Option (D)