The correct statement is option 1: "The angle of contact of water with glass is acute, while that of mercury with glass is obtuse."

The angle of contact refers to the angle between the tangent to the liquid surface at the point of contact and the horizontal surface of the container or object. It determines the shape of the liquid meniscus (curve) at the point of contact.

In the case of water with glass, the angle of contact is acute. This means that the tangent to the water surface forms an angle less than 90 degrees with the horizontal surface of the glass. The water wets the glass, causing it to spread and form a concave meniscus.

On the other hand, in the case of mercury with glass, the angle of contact is obtuse. This means that the tangent to the mercury surface forms an angle greater than 90 degrees with the horizontal surface of the glass. The mercury does not wet the glass, causing it to form a convex meniscus.

Option 2 is incorrect because it states the opposite of the correct statement. Option 3 is also incorrect because it wrongly suggests that both water and mercury have acute angles of contact. Option 4 is incorrect because there is a correct statement among the given options.