Question

NCERT Solutions Class 11, Geography, Practical Work in Geography, Chapter-4, Map Projections

Gaining a comprehensive understanding of Class 11 Geography is essential for success in board and competitive exams, with NCERT Solutions being a key resource. Developed by professionals, these solutions highlight crucial chapter themes and are in line with the CBSE curriculum, providing vital assistance for your educational efforts.

In these NCERT Solutions for Class 11 Geography, we have discussed all types of NCERT intext questions and exercise questions.

Concepts covered in Class 11 Geography, Practical Work in Geography, Chapter-4 Map Projections, are-

• Need for Map Projection
• Elements of Map Projection
• Classification of Map Projection
• Constructing Projections

Our NCERT Solutions for Class 11 Geography offer detailed explanations to assist you with homework and assignments. By mastering the concepts in each chapter through these solutions, you'll be well-prepared to achieve top marks in your exams. Start your journey to academic success today!

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Answer 1

NCERT Solutions Class 11, Geography, Practical Work in Geography, Chapter-4, Map Projections

1. Choose the right answer from the four alternatives given below:

(i) A map projection least suitable for the world map:

(a) Mercator

(b) Simple Cylindrical

(c) Conical

(d) All the above

Solution:

(c) Conical

(ii) A map projection that is neither the equal area nor the correct shape and even the directions are also incorrect:

(a) Simple Conical

(b) Polar zenithal

(c) Mercator

(d) Cylindrical

Solution:

(a) Simple Conical

(iii) A map projection having correct direction and correct shape but area greatly exaggerated polewards is:

(a) Cylindrical Equal Area

(b) Mercator

(c) Conical

(d) All the above

Solution:

(b) Mercator

(iv) When the source of light is placed at the centre of the globe, the resultant projection is called:

(a) Orthographic

(b) Stereographic

(c) Gnomonic

(d) All the above

Solution:

(c) Gnomonic

2. Answer the following questions in about 30 words:

(i) Describe the elements of map projection.

Solution:

(a) Reduced Earth: A model of the earth is represented by the help of a reduced scale on a flat sheet of paper. This model is called the “reduced earth.”

(b) Parallels of Latitude: These circles run around the globe parallel to the equator and maintain a uniform distance from the poles.

(c) Meridians of Longitude: These are semicircles drawn in a north-south direction from one pole to the other, and the two opposite meridians make a complete circle, i.e., circumference of the globe.

(d) Global property: the correctness of area, shape, direction and distance are the four major global properties to be preserved in a map.

(ii) What do you mean by global property?

Solution:

In preparing a map projection the following basic properties of the global surface are to be preserved by using one or the other methods:

(a) Distance between any given points of a region,

(b) Shape of the region,

(c) Size or area of the region in accuracy,

(d) Direction of any one point of the region bearing to another point.

(iii) Not a single map projection represents the globe truly. Why?

Solution:

However, there isn’t such a projection, which maintains, the scale remains accurate throughout. Depending on the situation, it can be successfully maintained only along a few carefully chosen parallels and meridians. Projection is a shadow of globe which has to be presented on a map. When the shape of the globe changes, certainly inaccuracy comes in. Therefore, it is rightly said that not a single map projection represents the globe truly.

(iv) How is the area kept equal in cylindrical equal area projection?

Solution:

The area is kept equal in cylindrical equal-area projection because latitudes and longitudes intersect each other at right angles in the straight line form.

3. Differentiate between:

(i) Developable and non-developable surfaces.

Solution:

Developable Surface	Non-Developable Surface
A developable surface is one, which can be flattened, and on which, a network of latitude and longitude can be projected.	A non-developable surface is one, which cannot be flattened without shrinking, breaking or creasing.
Example: A cylinder, a cone and a plane have the property of developable surface.	Example: A globe or spherical surface has the property of non-developable surface.

(ii) Homolographic and orthographic projections.

Solution:

Homolographic Projection	Orthographic Projection
A projection in which the network of latitudes and longitudes is developed in such a way that every graticule on the map is equal in area to the corresponding graticule on the globe. It is also known as the equalarea projection.	A projection in which the correct shape of a given area of the earth’s surface is preserved.

(iii) Normal and oblique projections.

Solution:

Normal Projection: If the developable surface touches the globe at the equator, it is called equatorial or normal projection.

Oblique Projection: If a projection is tangential to a point between the pole and the equator, it is called oblique projection.

(iv) Parallels of patitude and meridians of longitude.

Solution:

Meridians of Longitude	Parallels of Latitude
The meridians of longitude refer to the angular distance, in degrees, minutes, and seconds, of a point east or west of the Prime (Greenwich) Meridian.	The parallels of latitude refer to the angular distance, in degrees, minutes and seconds, of a point north or south of the equator.
It helps to determine the time of a place.	It helps to determine the temperature of a place.
Reference point: 0° longitude is called the prime meridian.	Reference point: 0° latitude is called the equator.
It divides the earth into the eastern hemisphere and western hemisphere.	It divides the earth into the northern hemisphere and southern hemisphere.

Answer 2

4. Answer the following questions in not more than 125 words:

(i) Discuss the criteria used for classifying map projection and state the major characteristics of  each type of projection.

Solution:

Map projection can be classified as drawing technique, Developable surface, Global properties, Source of light.

The classification is given below:

(a) On the basis of drawing techniques, map Projections are classified as perspective, non-perspective and conventional or mathematical. Drawing perspective projections with the help of a light source involves projecting an image of a globe’s network of parallels and meridian lines onto a surface that may be developed. Nonperspective projections are created without the aid of a light source or the ability to cast shadows on easily flattened objects. Conventional projections are ones that are created using formulas and calculations that have little connection to the projected picture.

(b) Depending on the surface that can be developed, it might be either a developable surface or a non-developable surface. A surface that can be flattened and onto which a network of latitude and longitude are projected is referred to as a developable surface. On the basis of the nature of the developable surface, the projections are classified as cylindrical, conical and zenithal projections.

(c) Based on their global features, projections are divided into equal area, orthomorphic, azimuthal, and equidistant categories.

(d) Depending on where the light source is located, projections can be categorised as gnomonic, stereographic, or orthographic.

The four main general features that must be retained in a map are area, form, direction, and distance accuracy. However, none of the projections can hold onto all three characteristics at once. Therefore, a projection can be drawn according to a specific need to retain the desired quality.

(ii) Which map projection is very useful for navigational purposes? Explain the properties and limitations of this projection.

Solution:

Mercator’s Projection is very useful for navigational purposes. A Dutch cartographer Mercator Gerardus Karmer developed this projection in 1569. The projection is based on mathematical formulae.

Properties are as follow:

(a) All parallels and meridians are straight lines and they intersect each other at right angles.

(b) All parallels have the same length which is equal to the length of equator.

(c) All meridians have the same length and equal spacing. But they are longer than the corresponding meridian on the globe.

(d) Spacing between parallels increases towards the pole.

(e) Scale along the equator is correct as it is equal to the length of the equator on the globe; but other parallels are longer than the corresponding parallel on the globe.

(f) Shape of the area is maintained, but at the higher latitudes distortion takes place.

(g) The shape of small countries near the equator is truly preserved while it increases towards poles.

(h) It is an azimuthal projection.

(i) This is an orthomorphic projection as scale along the meridian is equal to the scale along the parallel.

Limitations:

(a) There is greater scale exaggeration along the parallels and meridians in high latitudes. As a result, the size of the countries near the pole is highly exaggerated.

(b) Poles in this projection cannot be shown as 90° parallel, and the meridian touching them are infinite.

(iii) Discuss the main properties of conical projection with one standard parallel and describe its major limitations.

Solution:

A conical projection is one, which is drawn by projecting the image of the graticule of a globe on a developable cone which touches the globe along a parallel of latitude i.e., standard parallel.

Properties:

(a) All the parallels are arcs of concentric circle and are equally spaced.

(b) All meridian lines are parallel and converge at the pole. The parallels and meridians intersect the parallel at right angle.

(c) The scale is accurate along all meridians i.e., distance along the meridians are accurate.

(d) The pole is represented as an arc of a circle.

(e) The scale is accurate along the normal parallel but distorted away from it.

(f) Meridians become closer to each other towards the pole.

(g) This projection is neither orthomorphic nor has an equal area. 

Limitations:

(a) It is not suitable for a world map due to extreme distortions in the hemisphere opposite the one in which the standard parallel is selected.

(b) Even within the hemisphere, it is not suitable for representing larger areas as the distortion along the pole and near the equator is larger.

Answer 3

More Questions

Multiple Choice Questions

1. Who had developed Mercator projection?

(a) Mercator Gerardus Karmer
(b) Lambert
(c) Plato
(d) Hambolt

Solution:

(a) Mercator Gerardus Karmer

2. Which of the following geographical feature is not there in a map?

(a) Area
(b) Direction
(c) Shape
(d) Topography

(d) Topography

3. Which of the following is called equal area projection?

(a) Orthomorphic Projection
(b) Azimuthal Projection
(c) Equidistant projections
(d) Homolographic projection

Solution:

(d) Homolographic projection

4. Which projection is obtained by putting the light at the centre of the globe?

(a) Gnomonic Projection
(b) Azimuthal Projection
(c) Equidistant projections
(d) Homolographic projection

Solution:

(a) Gnomonic Projection

5. In which projection different parts of the . earth are shown accurately?

(а) Orthomorphic Projection
(b) Azimuthal Projection
(c) Equidistant projections
(d) Homolographic projection

Solution:

(d) Homolographic projection

6. Which of the following projection is not classified on the basis of source of light?

(a) Gnomonic Projection
(b) Stereographic Projection
(c) Equal area projection
(d) Orthographic Poijection

Solution:

(c) Equal area projection

7. Which of the following is not a quality of globe? 

(a) Accurate shape of a region
(b) Accurate area of a place
(c) Showing direction of one pace from another place
(d) Showing light

Solution:

(d) Showing light

8. Which of the following is not a developable surface?

(a) Angle
(b) Cylindrical
(c) Plane
(d) Map

Solution:

(d) Map

9. Which of the following does not have qualities of developable surface?

(a) Conical
(b) Cylindrical
(c) Plane
(d) Globe

Solution:

(d) Globe

Very Short Answer Type Questions

1. What is the shape of meridians and parallels in Mercator projection?

Solution:

All parallels and meridians are straight lines and they intersect each other at right angles. All parallels have the same length which is equal to the length of equator. All meridians have the same length and equal spacing. But they are longer than the corresponding meridian on the globe. Spacing between parallels increases towards the pole.

2. Classify projections on the basis of method of construction.

Solution:

On the basis of method of construction, projections are generally classified into perspective, non-perspective and conventional or mathematical.

3. What do you mean by non-developable surface?

Solution:

A non-developable surface is one, which cannot be flattened without shrinking, breaking or creasing. A globe or spherical surface has the property of non-developable surface.

4. What is Lexodrome or Rhumb line?

Solution:

Lexodrome or Rhumb Line is a straight line drawn on Mercator’s projection joining any two points having a constant bearing. It is very useful in determining the directions during navigation.

5. What is mathematical or conventional projection?

Solution:

Mathematical or conventional projections are those, which are derived by mathematical computation and formulae and have little relations with the projected image.

6. How can perspective and non-perspective projections be drawn?

Solution:

Perspective projections can be drawn taking the help of a source of light by projecting the image of a network of parallels and meridians of a globe on developable surface. Non-perspective projections are developed without the help of a source of light or casting shadow on surfaces, which can be flattened.

7. What is developable surface?

Solution:

A developable surface is one, which can be flattened, and on which, a network of latitude and longitude can be projected. A cylinder, a cone and a plane have the property of developable surface.

8. How can we obtain projection on a plane surface?

Solution:

When the cylinder is cut open, it provides a cylindrical projection on the plane sheet. A Conical projection is drawn by wrapping a cone round the globe and the shadow of graticule network is projected on it. When the cone is cut open, a 1 projection is obtained on a flat sheet.

9. What are limitations of Mercator Projection?

Solution:

• There is greater exaggeration of scale along the parallels and meridians in high
  latitudes. As a result, size of the countries near the pole is highly exaggerated.
• Poles in this projection cannot be shown as 90° parallel and meridian touching them are infinite.

Short Answer Type Questions

1. How are conical projections drawn?

Solution:

A Conical projection is drawn by wrapping a cone round the globe and the shadow of graticule network is projected
on it. When the cone is cut open, a projection is obtained on a flat sheet. A conical projection is one, which is drawn by projecting the image of the ‘ graticule of a globe on a developable cone, which touches the globe along a parallel of latitude called the standard parallel. As the cone touches the globe located along AB, the position of this parallel on the globe coinciding with that on the cone is taken as the standard parallel. The length of other parallels on either side of this parallel are distorted.

2. What is map projection?

Solution:

It is the system of transformation of the spherical surface onto a plane | surface. It is carried out by an orderly
and systematic representation of the parallels of latitude and the meridians of longitude of the spherical earth or part of it on a plane surface on a conveniently chosen scale. In map projection we try to represent a good model of any part of the earth in its true shape and dimension. But distortion in some form or the other is inevitable.

To avoid this distortion, various methods have been devised and many types of projections are drawn. Due to this reason, map projection is also defined as the study of different methods which have been tried for transferring the lines of graticule from the globe to a flat sheet of paper.

Answer 4

3. What are the qualities and limitations of a globe?

Solution:

Qualities of globe can be expressed as follows:

• A globe is the best model of the earth. Due to this property of the globe, the shape and sizes of the continents and oceans are accurately shown on it.
• It shows the directions and distances very accurately.
• The globe is divided into various segments by the lines of latitude and longitude.

Limitations:

• It is expensive.
• It can neither be carried everywhere easily nor can a minor detail be shown on it.
• Besides, on the globe the meridians are semi-circles and the parallels are circles. When they are transferred on a plane surface, they become intersecting straight lines or curved lines.

4. Classify the projections on the basis of method of construction.

Solution:

On the basis of method of construction, projections are generally classified into perspective, non-perspective and conventional or mathematical.

• Perspective projections: These can be drawn taking the help of a source of light by projecting the image of a network of parallels and meridians of a globe on developable surface.
• Non-perspective projections: These are developed without the help of a source of light or casting shadow on surfaces, which can be flattened.
• Mathematical or conventional projections: These are those, which are derived by mathematical computation and formulae and have little relations with the projected image.

5. Classify projections on the basis of global properties.

Solution:

On the basis of global properties, projections are classified into:

• Equal Area Projection
• Orthomorphic Projection,
• Azimuthal Projection and
• Equidistant Projections.
  • Equal Area Projection: It is also called homolographic projection. It is that projection in which areas of various parts of the earth are represented correctly.
  • Orthomorphic or True-Shape projection: It is one in which shapes of various areas are portrayed correctly. The shape is generally maintained at the cost of the correctness of area.
  • Azimuthal or True-Bearing projection: It is one on which the direction of all points from the centre is correctly represented.
  • Equidistant or True Scale projection: It is that where the distance or scale is correctly maintained.
• However, there is no such projection, which maintains the scale correctly throughout. It can be maintained correctly only along some selected parallels and meridians as per the requirement.

6. Write a short note on developable surface and zenithal projections.

Solution:

A developable surface is one, which can be flattened, and on which, a network of latitude and longitude can be projected. A cylinder, a cone and a plane have the property of developable surface. On the basis of nature of developable surface, the projections are classified as cylindrical, conical and zenithal projections.

1) Cylindrical Projections: These are made through the use of cylindrical developable surface. A paper-made cylinder covers the globe, and the parallels and meridians are projected on it.

2) Zenithal projection: It is directly obtained on a plane surface when plane touches the globe at a point and the graticule is projected on it. Generally, the plane is so placed on the globe that it touches the globe at one of the poles. These projections are further subdivided into normal, oblique or polar as per the position of the plane touching the globe.

• Normal Projection: If the developable surface touches the globe at the equator, it is called equatorial or normal projection.
• Oblique Projection: If it is tangential to a point between the pole and the equator, it is called the oblique projection;
• Polar Projection: If it is tangential to the pole, it is called the polar projection.

7. What is the need of map projection?

Solution:

The need for a map projection mainly arises to have a detailed study of a region, which is not possible to do from a globe. Similarly, it is not easy to compare two natural regions on a globe. Therefore, drawing accurate large-scale maps on a flat paper is required. It gives birth to a problem. The problem is how to transfer these lines of latitude and longitude on a flat sheet. If we stick a flat paper over the globe, it will not coincide with it over a large surface without being distorted. If we throw light from the centre of the globe, we get a distorted picture of the globe in those parts of paper away from the line or point over which it touches the globe.

The distortion increases with increase in distance from the tangential point. So, tracing all the properties like shape, size and directions, etc. from a globe is nearly impossible because the globe is not a developable surface.

Map projection helps to solve this problem. In map projection we try to represent a good model of any part of the earth in its true shape and dimension. But distortion in some form or the other is inevitable. To avoid this distortion, various methods have been devised and many types of projections are drawn. Due to this reason, map projection is also defined as the study of different methods which have been tried for transferring the lines of graticule from the globe to a flat sheet of paper.

Long Answer Type Questions

1. Explain the qualities of Mercator projection.

Solution:

Mercator’s Projection is very useful for navigational purposes. A Dutch cartographer Mercator Gerardus Karmer developed this projection in 1569. The projection is based on mathematical formulae.

Properties:

• It is an orthomorphic projection in which the correct shape is maintained.
• The distance between parallels increases towards the pole.
• Like cylindrical projection, the parallels and meridians intersect each other at right angle. It has the characteristics of showing correct directions.
• A straight line joining any two points on this projection gives a constant bearing, which is called a Laxodrome or Rhumb line.
• All parallels and meridians are straight lines and they intersect each other at right angles.
• All parallels have the same length which is equal to the length of equator.
• All meridians have the same length and equal spacing. But they are longer than the corresponding meridian on the globe.
• Spacing between parallels increases towards the pole.
• Scale along the equator is correct as it is equal to the length of the equator on the globe; but other parallels are longer than the corresponding parallel on the globe; hence the scale is not correct along them.
• Shape of the area is maintained, but at the higher latitudes distortion takes place.
• The shape of small countries near the equator is truly preserved while it increases towards poles.
• It is an azimuthal projection.
• This is an orthomorphic projection as scale along the meridian is equal to the scale along the parallel.

2. Explain properties, limitations and uses of cylindrical equal area projection.

Solution:

The cylindrical equal area projection is also known as the Lambert’s projection. It has been derived by projecting the surface of the globe with parallel rays on a cylinder touching it at the equator. Both the parallels and meridians are projected as straight lines intersecting one another at right angles. The pole is shown with a parallel equal to the equator; hence, the shape of the area gets highly distorted at the higher latitude.

Properties:

• All parallels and meridians are straight lines intersecting each other at right angle.
• Polar parallel is also equal to the equator.
• Scale is true only along the equator.

Limitations:

• Distortion increases as we move towards the pole.
• The projection is non-orthomorphic.
• Equality of area is maintained at the cost of distortion in shape.

Uses:

• The projection is most suitable for the area lying between 45° N and S latitudes.
• It is suitable to show the distribution of tropical crops like rice, tea, coffee, rubber and sugarcane.

Answer 5

3. Explain properties of Conical Projection with one Standard Parallel.

Solution:

A conical projection is one, which is drawn by projecting the image of the graticule of a globe on a developable cone, which touches the globe along a parallel of latitude called the standard parallel. As the cone touches the globe located along AB, the position of this parallel on the globe coinciding with that on the cone is taken as the standard parallel.

Properties:

• All the parallels are arcs of concentric circle and are equally spaced.
• All meridians are straight lines merging at the pole. The meridians intersect the parallels at right angles.
• The scale along all meridians is true.
• An arc of a circle represents the pole.
• The scale is true along the standard parallel but exaggerated away from the standard parallel.
• Meridians become closer to each other towards the pole.
• This projection is neither equal area nor orthomorphic.

4. Explain the limitations and uses of Conical Projection with one Standard Parallel.

Solution:

Limitations:

• It is not suitable for a world map due to extreme distortions in the hemisphere opposite the one in which the standard parallel is selected.
• Even within the hemisphere, it is not suitable for representing larger areas as the distortion along the pole and near the equator is larger.

Uses:

• This projection is commonly used for showing areas of mid-latitudes with limited latitudinal and larger longitudinal extent.
• A long narrow strip of land running parallel to the standard parallel and having east-west stretch is correctly shown on this projection.
• Direction along standard parallel is used to show railways, roads, narrow river valleys and international boundaries.
• This projection is suitable for showing the Canadian Pacific Railways, Trans- Siberian Railways, international boundaries between USA and Canada and the Narmada Valley.

5. Prepare graticule for a Cylindrical Equal Area Projection for the world when R.F. is 1: 300,000,000 and the interval is 15° apart.

Solution:

Construction:

• Draw a circle of 2.1 cm radius;
• Mark the angles of 15°, 30°, 45°, 60°, 75° and 90° for both, northern and southern hemispheres;
• Draw a line of 13.2 cm and divide it into 24 equal parts at a distance of 0.55cm apart.
• This line represents the equator;
• Draw a line perpendicular to the equator at the point where 0° is meeting the circumference of the circle;
• Extend all the parallels equal to the length of the equator from the perpendicular line; and Complete the projection as shown in figure given below:

 

6. Draw a Mercator Projection for the world map when the R.F. is 1:250,000,000 and the interval between the latitude and longitude is 15°.

Solution:

Calculation: Radius of the reduced earth R is 1″ is 1: 250,000,000 Length of the equator 2πR or 

\(1 \times \frac{22}7 \times 2 = 6.28 \) inches

Construction:

• Draw a line of 6.28″ inches representing the equator as Equation.
• Divide it into 24 equal parts. Determine the length of each division using the following formula: Length of the equator multiplied by interval divided by 360°.
• Calculate the distance for latitude with the help of the table given below:
  Latitude Distance 15° 0.25 x 1 = 0.25″ inch 30° and so on, Complete the projection as shown in Figure given below:

 

Viva Questions

1. What is other name for cylindrical equal-area projection?

Solution:

The cylindrical equal-area projection is also known as Lambert’s projection.

2. What is Lexodrome or Rhumb Line?

Solution:

It is a straight line drawn on Mercator’s projection joining any two points having a constant bearing. It is very useful in determining the directions during navigation.

3. Which map projection is very useful for navigational purposes? Who developed it and on what is it based?

Solution:

Mercator’s Projection is very useful for navigational purposes. A Dutch cartographer Mercator Gerardus Karmer developed this projection in 1569. The projection is based on mathematical formulae.

4. Name different types of projections on the basis of method of construction.

Solution:

On the basis of method of construction, projections are generally classified into perspective, non-perspective and conventional or mathematical.

5. Name some developable surface.

Solution:

A cylinder, a cone and a plane have the property of developable surface.

6. What is mathematical or conventional projection?

Solution:

Mathematical or conventional projections are those, which are derived by mathematical computation and formulae and have little relations with the projected image.

7. What is the need of map projection?

Solution:

The need for a map projection mainly arises to have a detailed study of a region, which is not possible to do from a globe. Similarly, it is not easy to compare two natural regions on a globe. Therefore, drawing accurate large-scale maps on a flat paper is required.