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Accepted Answer

To solve this, we analyze each electron configuration to find the element:

### 1. $1s^22s^22p^63s^23p^64s^23d^9$
- Count electrons: Sum exponents. $2 + 2 + 6 + 2 + 6 + 2 + 9 = 29$. Atomic number 29 is Copper (Cu). But wait, Copper's config is $1s^22s^22p^63s^23p^64s^13d^{10}$ (due to d - orbital stability). Wait, maybe a typo? Wait, no—wait, the given config is $4s^23d^9$, which would be a transition metal. Wait, no, maybe I miscalculated. Wait, $1s^2(2) + 2s^2(2) + 2p^6(6) + 3s^2(2) + 3p^6(6) + 4s^2(2) + 3d^9(9)$: $2 + 2 + 6 + 2 + 6 + 2 + 9 = 29$. But Copper is 29, but its config is $4s^13d^{10}$. Wait, maybe the question has a typo, but among the options, the closest? Wait, no—wait, maybe I made a mistake. Wait, no, let's check the options. The options include i. Cu. Wait, maybe the config is written as $4s^23d^9$ (which is a common error in some textbooks, but the atomic number is 29, so it's Cu. So 1 matches i. Cu? Wait, no, wait Copper's electron configuration is $[Ar] 4s^1 3d^{10}$. Wait, maybe the given config is for a different element? Wait, no, maybe the problem has a typo, but let's proceed.

Wait, no—wait, let's re - check:

Wait, the first config: $1s^22s^22p^63s^23p^64s^23d^9$. The electron count is 29. Atomic number 29 is Cu. So 1 → i. Cu? Wait, but Copper's actual config is $4s^13d^{10}$. Maybe the problem has a simplified config. So 1: i. Cu? Wait, no, maybe I messed up. Wait, let's check other options.

### 2. $1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^{14}5d^{10}6p^3$
- Count electrons: Let's sum. $2+2 + 6+2 + 6+2 + 10+6 + 2+10 + 6+2 + 14+10 + 3$. Wait, better to use noble gas notation. The config is $[Xe] 6s^2 4f^{14} 5d^{10} 6p^3$. The noble gas Xe has atomic number 54. Then add electrons: $6s^2(2)+4f^{14}(14)+5d^{10}(10)+6p^3(3)$: $2 + 14+10 + 3=29$ added to Xe's 54: $54 + 29 = 83$. Atomic number 83 is Bismuth (Bi). So 2 matches g. Bi.

### 3. $1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^4$
- Noble gas notation: $[Xe] 6s^2 4f^4$. The atomic number of Xe is 54. Add $6s^2(2)+4f^4(4)$: $54 + 2+4 = 60$. Atomic number 60 is Neodymium (Nd). So 3 matches h. Nd.

### 4. $1s^22s^22p^3$
- Sum electrons: $2 + 2+3 = 7$. Atomic number 7 is Boron (B)? Wait, no, Boron is 5. Wait, $1s^22s^22p^3$: electrons = $2 + 2+3 = 7$. Atomic number 7 is Nitrogen? Wait, no—wait, $1s^2(2)+2s^2(2)+2p^3(3)=7$. Atomic number 7 is Nitrogen, but the options have j. B (Boron, atomic number 5: $1s^22s^22p^1$). Wait, this is a mistake. Wait, $1s^22s^22p^3$ has 7 electrons, atomic number 7 (Nitrogen), but the options include j. B (Boron, 5). Wait, no—wait, maybe I miscalculated. Wait, $1s^2(2) + 2s^2(2) + 2p^3(3)=7$. So atomic number 7 is Nitrogen, but the options don't have N. Wait, the options have j. B (Boron, atomic number 5: $1s^22s^22p^1$). Wait, this is a problem. Wait, maybe the config is $1s^22s^22p^1$ (Boron), but the given is $2p^3$. Wait, maybe a typo. Wait, the options have j. B. So maybe the config is $1s^22s^22p^1$, but the given is $2p^3$. Wait, no, let's check again. Wait, $1s^22s^22p^3$: electrons = 7 (Nitrogen), but the options don't have N. The options have j. B (Boron, 5). So there's a mistake. Wait, maybe the config is $1s^22s^22p^1$ (Boron), but it's written as $2p^3$. Alternatively, maybe I made a mistake. Wait, no—let's proceed.

### 5. $1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^{14}5d^{10}6p^67s^1$
- Noble gas notation: $[Rn] 7s^1$ (since $1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^{14}5d^{10}6p^6$ is Rn, atomic number 86). Add $7s^1(1)$: $86 + 1 = 87$. Atomic number 87 is Francium (Fr). So 5 matches f. Fr.

### 6. $1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^{14}5d^8$
- Noble gas notation: $[Xe] 6s^2 4f^{14} 5d^8$. Xe is 54. Add $6s^2(2)+4f^{14}(14)+5d^8(8)$: $54 + 2+14 + 8 = 78$. Atomic number 78 is Platinum (Pt). So 6 matches e. Pt.

### 7. $1s^22s^22p^63s^23p^64s^1$
- Sum electrons: $2 + 2+6 + 2+6 + 1 = 19$. Atomic number 19 is Potassium (K). So 7 matches c. K.

### 8. $1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^{14}5d^{10}6p^67s^25f^{10}$
- Noble gas notation: $[Rn] 7s^2 5f^{10}$. Rn is 86. Add $7s^2(2)+5f^{10}(10)$: $86 + 2+10 = 98$. Atomic number 98 is Californium (Cf). So 8 matches a. Cf.

### 9. $1s^22s^22p^63s^23p^64s^23d^{10}4p^2$
- Sum electrons: $2 + 2+6 + 2+6 + 2+10 + 2 = 32$? Wait, no: $1s^2(2)+2s^2(2)+2p^6(6)+3s^2(2)+3p^6(6)+4s^2(2)+3d^{10}(10)+4p^2(2)$: $2 + 2+6 + 2+6 + 2+10 + 2 = 32$. Atomic number 32 is Germanium (Ge). So 9 matches d. Ge.

### 10. $1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^{14}5d^{10}6p^67s^25f^{14}6d^3$
- Noble gas notation: $[Rn] 7s^2 5f^{14} 6d^3$. Rn is 86. Add $7s^2(2)+5f^{14}(14)+6d^3(3)$: $86 + 2+14 + 3 = 105$. Atomic number 105 is Dubnium (Db). So 10 matches b. Db.

### 2. $1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^{14}5d^{10}6p^3$
- Noble gas notation: $[Xe] 6s^2 4f^{14} 5d^{10} 6p^3$. Xe is 54. Add $6s^2(2)+4f^{14}(14)+5d^{10}(10)+6p^3(3)$: $54 + 2+14 + 10+3 = 83$. Atomic number 83 is Bismuth (Bi). So 2 matches g. Bi.

### Final Matches:
1. $1s^22s^22p^63s^23p^64s^23d^9$ → i. Cu (Note: There is a discrepancy with Copper's actual configuration, but based on electron count (29) and options, this is the best match)
2. $1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^{14}5d^{10}6p^3$ → g. Bi
3. $1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^4$ → h. Nd
4. $1s^22s^22p^3$ → j. B (Note: There is a discrepancy as Boron has atomic number 5, but the configuration given has 7 electrons. This might be a typo, but based on the options, this is the closest match for a p - block element in the options)
5. $1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^{14}5d^{10}6p^67s^1$ → f. Fr
6. $1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^{14}5d^8$ → e. Pt
7. $1s^22s^22p^63s^23p^64s^1$ → c. K
8. $1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^{14}5d^{10}6p^67s^25f^{10}$ → a. Cf
9. $1s^22s^22p^63s^23p^64s^23d^{10}4p^2$ → d. Ge
10. $1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^{14}5d^{10}6p^67s^25f^{14}6d^3$ → b. Db

### Answers:
1. i. Cu
2. g. Bi
3. h. Nd
4. j. B
5. f. Fr
6. e. Pt
7. c. K
8. a. Cf
9. d. Ge
10. b. Db

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Question

Explanation:

1. \(1s^22s^22p^63s^23p^64s^23d^9\)

2. \(1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^{14}5d^{10}6p^3\)

3. \(1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^4\)

4. \(1s^22s^22p^3\)

5. \(1s^22s^22p^63s^23p^64s^23d^{10}4p^65s^24d^{10}5p^66s^24f^{14}5d^{10}6p^67s^1\)

Answer: