NCERT Solutions for Class 11 Geography (Practical Work) Chapter 2 Map Scale

Ans : (i) (b) Representative Fraction
(ii) (a) Numerator
(iii) (b) Map distance 

Ans : (i) Two different systems of measurement are the Metric System of Measurement and the English System of Measurement. The Metric System of Measurement (kilometer, meter, centimeter, and the millimeter) is presently used in India and the English System of Measurement (miles, furlongs, yards, and feet) is common in both the United States and the United Kingdom.


(ii) The scale of a map may be indicated in the form of a written statement. For example, in the Metric System of Measurement statement appears stating 1 cm represents 20 km, it means that on that map a distance of 1 cm is representing 20 km of the corresponding ground distance. It may also be expressed in the English System of Measurement, i.e., 1 inch represents 20 miles.


(iii) Representative Fraction is the ratio between distances on the map and the corresponding distance on the ground. Both the numerator and the denominator are in the same units, so those familiar either with the Metric Scale or English Scale can interpret the map. This quality of expressing scale in units in Representative Fraction makes it a universally acceptable and usable method.


(iv) Graphical method shows map distances and the corresponding ground distances using a line bar with primary and secondary divisions marked on it. The graphical scale stands valid even when the map is reduced or enlarged. This is the unique advantage of the graphical method of the map scale. 

Ans : (i) 
5cm equals 10 km or
l cm equal to 2 km or 
 1 cm equal to 2XIOOO m or
 1 cm equal to 2X OOO OO cm or
NOTE : We can now replace the character "cms" into "units" and read it as :
1 unit equal to 200000 units or
R.F. 1:200000


(ii) 
 
 2 inches represents 4 miles or
 1 inch represents 2 miles or
 1 inch represents 2 X 63,360 inches or
 NOTE : We can now replace the character "inches" into "units" and read it as :
 1 unit represents 126720 units or
 R. F. 1 : 126720 


(iii) 
1 inch represents 1 yard or
1 inch represents 3 feet or
1 inch represents 3X12 Inches or
NOTE : We can now replace the character "inches" into "units" and read it as :
1 unit represents 36 units or
R.F. 1:36


(iv)
1 cm represents 100 meters OR
1 cm represents 100x100 cm
NOTE : We can now replace the character "cms" into "units" and read it as :
1 unit represents 10000 units
R.F. 1:10000
 

Ans : The given R. F. of 1 : 100,000 may be converted into Statement of Scale using the following steps :
1 : 100,000 means that 1 unit on the map represents 100,000 units on the ground.
 1 cm represents 100,000 '100,000 (1 km = 100,000 cm)
1 cm represents 1 km 


(ii) The given R. F. of 1 : 31 680 may be converted into Statement of Scale using the following steps :
1 : 31680 means that 1 unit on the map represents 31680 units on the ground.
1 inch represents 31680/7920 furlongs (1 Furlong = 7920 inches)
1 inch represents 4 furlongs


(iii) The given R. F. of 1 : 126,720 may be converted into Statement of Scale using the following steps :
1 : 126,720 means that 1 unit on the map represents 126,720 units on the ground.
 1 inch represents 126,720163360 inches (1 mile = 63360 Inches)
 1 Inch represents 2 miles


(iv) The given R. F. of 1 : 50,000 may be converted into Statement of Scale using the following steps :
1 : 50,000 means that 1 unit on the map represents 50,000 units on the ground.
 1 cm represents 50,000 1100 metres (1 metre = 100 cms)
 1 cm represents 500 metres