Short Answer Type Questions:
Q1.What is the utility of scale in a map?
Answer:
A map scale provides the relationship between the map and the whole or a part of the earth’s surface shown on it. We can also express this relationship as a ratio of distances between two points on the map and the corresponding distance between the same two points on the ground.
- Scale of a map determines whether it can reflect minor details on it. For example to locate Palam Vihar in Gurgaon if we locate it on world map, it will be of no use. It is better to use a map of Gurgaon to locate Palam Vihar on it.
- On the basis of scale, maps are classified into small-scale maps and large-scale maps.
Q2.What factors must be kept in mind while selecting scale?
Answer:
We must consider following aspects while selecting scale:
- Purpose of map: If map is being drawn to study the minor details then we should make use of large scale maps and if it is to show physical features or large areas, we can use small scale maps as well. For example scale of a map of a house will be larger than map of a country.
- Space Available: Scale is also affected by availability of space for drawing maps.
Q3.What are limitations of representative fraction?
Answer:
There are many limitations of representative fraction method. These are as follows:
- This method is only a fraction. It does not make use of any measurement system. Therefore it cannot be used to measure the direct distance between two places.
- Whenever maps are changed using computers, these fractions get changed.
- It is not easy to understand method for a layman.
Q4.In a scale statement it is mentioned that 1 inch represents four miles. Express it in representative fraction.
Answer:
1 inch on map represents 4 miles on ground.
Or 1 inch = 4 x 63360 ( 1 mile = 63360 inches)
1 inch = 2,53,440 inches.
Therefore 1 inch on map represents a distance of 2,53,440 inches on ground. In other words, 1 unit on map represents 2,53,440 units on ground.
Therefore Representative fraction
Q5.Convert Representative fraction 1:2,53,440 into a statement of scale (metric system).
Answer:
The given representative fraction can be converted into statement of scale in following steps:
1: 2,53,440 means that 1 unit on map represents 2,53,440 units on the ground. In other words, 1 cm will represent 2,53,440/1,00,000 km (because 1 km = 1,00,000 cm)
Therefore, 1 cm = 2.5344 km In statement of scale form we can say that 1 cm represents 2.5344 km.
Long Answer Type Questions:
Q1.Construct a graphical scale for representative fraction 1:50,000 in which distance is given in furlongs and miles.
Answer:
For graphical scale, to know the length of the line we need to make following calculations. 1:50,000 means 1 unit on map represents 50,000 units on ground.
In this way, 1 inch = 50,000 inches
6 inches = 50,000 x 6/63360
6 inches = 4.73 miles
Since 4.73 miles is not an integer, therefore we take 5 as an integer on number line. Now we need to make following calculations to present number line as 5 miles.
Since 6 inches = 4.73 miles
Therefore 5 miles = 6 x 5/4.73
5 miles will be represented by 6.34 inches.
We can make the graph by following steps:
First of all draw a 6.34 inches line and divide it in 5 important parts. Except one part from the left, let us give all parts a distance of 1.268 inch. Now divide the first part in 4 equal parts and each part will be equal to 0.32 inch.
Q2.Construct a graphical scale for scale 1 inch = 1 mile and which can be read in furlongs and miles.
Answer:
For graphical scale, to know the length of the line we need to make following calculations.
1 inch = 1 mile
Since 1 inch = 1 mile and therefore, 6 inches = 6 miles We can make the graph by following steps:
First of all draw a 6 inches line and divide it in 6 important parts. Except one part from the left, let us give all parts a distance of one 1 inch. Now divide the first part in 4 equal parts and each part will be equal to 0.25 inch.
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