A distance of 10 m on ground is plotted on a map as 0.5 cm. The representative fraction of the scale is
- A1/500
- B1/1000
- C1/200
- D1/2000Correct
Solution
Concept
Calculation of representative fraction for scale
Formula
RF = Map distance / Ground distance
Step-by-step solution
1. Map distance = 0.5 cm. 2. Ground distance = 10 m = 1000 cm. 3. Representative Fraction (RF) = Map distance / Ground distance = 0.5 cm / 1000 cm = 1/2000.
Explanation
The representative fraction is defined as the ratio of map distance to ground distance expressed in identical units of measurement. Converting the ground and map distances according to standard scale ratios produces a representative fraction of 1/2000. This dimensionless scale ratio allows straightforward conversion between map measurements and actual field distances.
Shortcut
Representative Fraction (RF) = Map Distance / Ground Distance (in identical units).
Common mistake
Failing to correctly convert meters to centimeters when calculating the representative fraction ratio.
Correct answer: D) 1/2000