The atomic numbers of a few elements are given below: $10, 20, 7, 14$.
$(a)$ Identify the elements.
$(b)$ Identify the group number of these elements in the Periodic Table.
$(c)$ Identify the periods of these elements in the Periodic Table.

(N/A) The elements corresponding to the atomic numbers $10, 20, 7,$ and $14$ are Neon $(Ne)$,Calcium $(Ca)$,Nitrogen $(N)$,and Silicon $(Si)$ respectively.
$(b)$ Group identification:
- Neon $(Z=10)$: Electronic configuration $(2, 8)$,Group $18$ (Noble gas).
- Calcium $(Z=20)$: Electronic configuration $(2, 8, 8, 2)$,Group $2$ (Alkaline earth metal).
- Nitrogen $(Z=7)$: Electronic configuration $(2, 5)$,Group $15$.
- Silicon $(Z=14)$: Electronic configuration $(2, 8, 4)$,Group $14$.
$(c)$ Period identification (based on the number of shells):
- Neon $(Z=10)$: $2$ shells,Period $2$.
- Calcium $(Z=20)$: $4$ shells,Period $4$.
- Nitrogen $(Z=7)$: $2$ shells,Period $2$.
- Silicon $(Z=14)$: $3$ shells,Period $3$.