Ya its nitrogen family bcz atomic no. 15 so we can write 1s^2 2s^2 2p ^6 3s^2 3p^3
3+2+10 =15 group no.15 that is nitrogen family

Explanation:

The atomic numbers given in the question are 15, 33, and 51. To determine which family these elements belong to, we need to analyze their atomic numbers and compare them to the periodic table.

1. Atomic Numbers:
- The atomic number represents the number of protons in the nucleus of an atom.
- Elements with the same atomic number belong to the same family or group in the periodic table.

2. Analyzing the Atomic Numbers:
Let's compare the given atomic numbers with the periodic table to identify the family these elements belong to.

- Atomic number 15: The element with atomic number 15 is Phosphorus (P). Phosphorus belongs to Group 15 in the periodic table, which is commonly known as the Nitrogen family. Therefore, the first atomic number belongs to the Nitrogen family.

- Atomic number 33: The element with atomic number 33 is Arsenic (As). Arsenic also belongs to Group 15 in the periodic table, which is the Nitrogen family. Hence, the second atomic number also belongs to the Nitrogen family.

- Atomic number 51: The element with atomic number 51 is Antimony (Sb). Antimony belongs to Group 15 in the periodic table, which is the Nitrogen family. Therefore, the third atomic number also belongs to the Nitrogen family.

3. Conclusion:
Based on the comparison of the atomic numbers with the periodic table, it can be concluded that the elements with atomic numbers 15, 33, and 51 belong to the Nitrogen family (Group 15) in the periodic table.

Therefore, the correct answer is option 'B' - Nitrogen family.