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R.F. is denoted by___
Distance on ground / Distance on map
1 / Distance on map
1 / Distance on ground
Distance on map / Distance on ground
Distance on map / Distance on ground
The Representative Fraction (R.F.) is a dimensionless ratio used in cartography and surveying to represent the scale of a map. It expresses the relationship between a specific distance on the map and the corresponding distance on the actual ground using the same units.
The Representative Fraction (R.F.) is a dimensionless ratio used in cartography and surveying to represent the scale of a map. It expresses the relationship between a specific distance on the map and the corresponding distance on the actual ground using the same units.
R.F.=Distance┬аon┬аgroundDistance┬аon┬аmapтАЛ тАФ Fundamental definition of map scale.
It is defined as the ratio of map distance to ground distance. Because both terms are expressed in the same units, the units cancel out, resulting in a pure number that indicates how many times the real-world features have been reduced to fit on the map.
R.F. is independent of the system of units (e.g., cm, inches).
A scale of 1:1000 means 1 unit on the map represents 1000 units on the ground.
The numerator is always 1 for standard map scales.
Universal applicability regardless of measurement units.
Easier for international comparison of maps.
Cannot be used if the map is enlarged or reduced photographically unless the scale is re-calculated.
Less intuitive than graphical scale when the map undergoes shrinkage.
Topographic map production
Engineering drawings and blueprints
Geographic Information Systems (GIS)
The R.F. is a fraction, typically written in the form 1/n or 1:n.
Option A is the reciprocal of the scale (Ground Distance/Map Distance).
Options B and C are mathematically incorrect definitions as they involve only one variable.
D is correct тАФ R.F. is defined as the dimensionless ratio of the distance measured on the map to the corresponding distance on the ground.
Remember that a 'Large Scale' map (e.g., 1:500) has a smaller denominator compared to a 'Small Scale' map (e.g., 1:10,000).