Question

Match column I and II column I \(\frac{\text { column I }}{\text { fnucleus }}\) (a) size of (b) number of Proton in a nucleus column II (p) Z (q) \(10^{-15} \mathrm{~m}\) (r) \((\mathrm{A}-\mathrm{Z})\) (s) \(10^{-10} \mathrm{~m}\) 0 (c) size of Atom (d) Number of neutrons in a nucleus (A) $\mathrm{a} \rightarrow \mathrm{r}, \mathrm{b} \rightarrow \mathrm{s}, \mathrm{c} \rightarrow \mathrm{q}, \mathrm{d} \rightarrow \mathrm{p}$ (B) $\mathrm{a} \rightarrow \mathrm{q}, \mathrm{b} \rightarrow \mathrm{p}, \mathrm{c} \rightarrow \mathrm{s}, \mathrm{d} \rightarrow \mathrm{r}$ (C) $\mathrm{a} \rightarrow \mathrm{s}, \mathrm{b} \rightarrow \mathrm{r}, \mathrm{c} \rightarrow \mathrm{q}, \mathrm{d} \rightarrow \mathrm{p}$ (D) $\mathrm{b} \rightarrow \mathrm{s}, \mathrm{c} \rightarrow \mathrm{p}, \mathrm{c} \rightarrow \mathrm{q}, \mathrm{d} \rightarrow \mathrm{r}$

Short answer

The correct matching pairs for the given question are (B) a → q, b → p, c → s, d → r.

Step-by-step solution

Analyzing options in Column I

First, let's analyze each option in column I to understand what they are referring to. (a) size of - This option is incomplete. We need to look for sizes of nucleus and atom. (b) number of Proton in a nucleus - Refers to the number of protons in a nucleus which is denoted by 'Z'. (c) size of Atom - Refers to the approximate diameter of an atom. (d) Number of neutrons in a nucleus - Refers to the number of neutrons in a nucleus, which can be calculated by subtracting the number of protons (Z) from the mass number (A): (A-Z).

Matching column I options with correct column II options

Now that we understand the options in column I, let's find the appropriate matches in column II. (a) size of - Incomplete, we should look for both nucleus and atom sizes. (b) number of Proton in a nucleus - Refers to 'Z', so the correct match is (p). (c) size of Atom - The approximate diameter of an atom is about \(10^{-10} \mathrm{~m}\), so the correct match is (s). (d) Number of neutrons in a nucleus - Can be calculated using (A-Z), so the correct match is (r). Now that we have paired options from column I to column II, let's see which answer choice corresponds to our matched pairs:

Checking the answer choices

Comparing our matched pairs with the answer choices, we find that our pairs match with choice (B): (B) a → q, b → p, c → s, d → r So, the correct answer is (B).