The correct answer is option 2: 500 m.

A topographical map is a detailed representation of the Earth`s surface, specifically showing the physical features such as mountains, rivers, and valleys. It uses various symbols and colors to represent different types of landforms and elevations.

Scale is an important element of a map as it provides a ratio that relates the distances on the map to the actual distances on the Earth`s surface. In this case, the scale of the topographical map is given as 1:50000.

The scale ratio indicates that for every 1 centimeter on the map, the actual distance on the ground is 50000 centimeters or 500 meters. So, if you measure a distance of 1 centimeter on the map, it represents a real-world distance of 500 meters on the ground.

Therefore, option 2 (500 m) is the correct answer as it accurately represents the relationship between the distances on the map and the actual distances on the Earth`s surface, based on the given scale.