Which one of the following is the chemical formula of Plaster of Paris

Which one of the following is the chemical formula of Plaster of Paris ?

$ ext{CaSO}_4 cdot rac{1}{2} ext{ H}_2 ext{O}$
$ ext{CaSO}_4 cdot 2 ext{ H}_2 ext{O}$
$ ext{CaSO}_4 cdot 5 ext{ H}_2 ext{O}$
$ ext{CaSO}_4 cdot 4 ext{ H}_2 ext{O}$
This question was previously asked in
UPSC NDA-2 – 2021
The correct option is A. The chemical formula of Plaster of Paris is Calcium Sulfate hemihydrate, which is $\text{CaSO}_4 \cdot \frac{1}{2} \text{ H}_2\text{O}$.
Plaster of Paris is produced by heating Gypsum ($\text{CaSO}_4 \cdot 2 \text{ H}_2\text{O}$) to about 150°C (302°F). This heating process removes three-quarters of the water of crystallization, leaving the hemihydrate form. When mixed with water, Plaster of Paris rehydrates and sets into a hard mass, which is chemically Gypsum.
Gypsum ($\text{CaSO}_4 \cdot 2 \text{ H}_2\text{O}$) is Calcium Sulfate dihydrate. It is a naturally occurring mineral. The setting of Plaster of Paris is an exothermic reaction: $\text{CaSO}_4 \cdot \frac{1}{2} \text{ H}_2\text{O} + 1\frac{1}{2} \text{ H}_2\text{O} \rightarrow \text{CaSO}_4 \cdot 2 \text{ H}_2\text{O}$.