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What is statement of scale ? Give its advantages and disadvantages ?


Statement of Scale : In this method, we express the scale in words, or we make a statement about it; such as one centimetre to one kilometre, or one inch to one metre etc. This indicates that one centimetre on the map represents one kilometre on the ground or one inch on the map represents one mile on the ground.

Advantages :

(i) This is very simple method which is understood even by a common man.

(ii) It requires little time to express this scale.

(iii) It gives correct idea about distance.

Disadvantages :

(i) It can be understood only by those who are familiar with the unit of measurement used. For example, if we say that the scale of a map is 1 cm : 1 km, it would be understood by only that person who is familiar with the metric system of measurement.

(ii) When a map is reduced or enlarged from the original, the scale does not remain the same. This creates problems in measurement.

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Convert the given Statement of Scale into Representative Fraction (R.F.) :
1.  5 cm represent 10 km.
2.  2 inches represents 4 miles.
3.  1 inch represents 1 yard.
4.  1 cm represents 100 metres.

1.

5 cm represents

= 10 km or 1000000 cm

1 cm represents = 1000000 ÷ 5

=200000

R. F. : 1 : 200000

2.

5 cm represents

= 10 km or 1000000 cm

1 cm represents = 1000000 ÷ 5

=200000

R. F. : 1 : 200000

3.

1 inch represents = 1 yard or 36 inch

1 inch represents =36 inch

R. F. : 1 : 36

4.

l cm represents= 100 metres

1 cm represents = 100 metres or 10000 cm

R. F. : 1 : 10000

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Explain the importance of scale.

1. With the help of the scale, we can represent large areas in a reduced shape and size.

2. Without a scale, a map is simply a diagram or sketch. A map is meaningless without a scale.

3. We can measure the distance between two points on the map without actually going to the field.

4. With the help of a scale, the area can be calculated.

5. A certain length can be measured from the linear scale.

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 What is Representative Fraction ? Give its advantages and disadvantages.


Representative Fraction is also known as Numerical Function. In this case, the ratio existing between the length on the map and actual length on the ground is indicated by a fraction whose numerator is always 1. This fraction is usually abbreviated as R. F. Thus, Representative Fraction (R.F.)


Representative Fraction is also known as Numerical Function. In this

The most important point to be noted in this connection is that the unit of measurement of distances in numerator and denominator is the same. For example, if we say the R.F. of a map is 1/1,00,000 or 1 : 1,00,000, it means that one unit on the map represents 1,00,000 units on the ground. If the unit of measurement is centimetre, we will say that 1 centimetre on the map represents 1,00,000 centimetres on the ground. If, however, the unit of measurement is inch, then we will say that 1 inch on the map represents 1,00,000 inches on the ground.

Advantages : Since it is only a fraction and is indented of any particular unit of a measurement, it can be used in all the countries. If the R.F. of a map is 1 : 1,00,000 to a Britisher, it would mean that 1" on the map represents 1,00,000 inches on the ground. Similarly, to a Frenchman, it would mean that 1 cm on the map represents 1,00,000 inches on the ground and to a Russian, 1 verst on the map represents 1,00,000 versts on the ground. It is also termed as International Scale or Natural Scale. It has become a very popular method of expressing the scale.

Disadvantages : (i) It is only a fraction in which no system of units is used. Hence, distances cannot be directly measured from it.

(ii) Whenever a map is photographically enlarged or reduced, the R.F. will no longer be true.

(iii) This is not easily understood by a commonman.

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What is Linear Scale ? Give its advantages and disadvantages.

Linear Scale : This is also known as Graphical Scale or Plain Scale. This is merely a straight line whose length is in certain proportion to the actual length on the ground. It is divided into primary and secondary division so that advantages and disadvantages can easily be read from it.

Advantages : (i) Distances can easily be measured with the help of linear scale.

(ii) If the map is photographically enlarged or reduced, the linear scale is also enlarged or reduced in the same ratio and remains true to the map.

Disadvantages : (i) Like statement of scale, this scale can be used by those who are familiar with the unit of measurement used in the scale.

(ii) It requires time and proficiency in drawing a graphic scale.

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