Explanation:

Vapour Pressure:
Vapour pressure is the pressure exerted by the vapour phase of a substance when it is in equilibrium with its liquid or solid phase at a given temperature. It is a measure of the tendency of a substance to evaporate.

Binary Mixture:
A binary mixture is a mixture that consists of two components. These components can be liquids, solids, or gases.

Azeotrope:
An azeotrope is a mixture of two or more liquids that has a constant boiling point and composition. In an azeotropic mixture, the vapour pressure of the mixture is the same as the vapour pressure of each individual component at that temperature. This means that the vapour pressure of the two components in an azeotropic mixture is the same.

Explanation:
If the vapour pressure of the two components in a binary mixture is the same, it means that the mixture behaves as an azeotrope. This is because an azeotrope is characterized by having a constant boiling point and composition.

In a binary mixture, the components can have different boiling points. However, when the vapour pressure of the two components becomes the same at a specific composition, the mixture forms an azeotrope. This means that the mixture will boil at a constant temperature, regardless of the composition.

The formation of an azeotrope is due to the interactions between the molecules of the two components. These interactions can result in a deviation from Raoult's law, which states that the vapour pressure of a component in a mixture is equal to the product of its mole fraction and its pure component vapour pressure. When the vapour pressure of the two components becomes the same, it indicates that the interactions between the molecules are strong enough to overcome the deviations from Raoult's law.

In conclusion, if the vapour pressure of the two components in a binary mixture is the same, it indicates the formation of an azeotrope.