Understanding Longitudes and Latitudes

This question asks us to evaluate the correctness of three statements concerning longitudes and latitudes on Earth. These are fundamental concepts in geography used to determine locations on the globe.

Statement 1: Distance between the longitudes becomes zero on North Pole and South Pole.

Let's analyze this statement. Longitudes, also known as meridians, are imaginary lines that run from the North Pole to the South Pole. They are semi-circles. All lines of longitude converge at both the North Pole and the South Pole. Imagine drawing many lines from one pole to the other on a sphere. At the poles, all these lines meet at a single point. Therefore, the distance between any two longitudes is zero at the North Pole and the South Pole.

• Longitudes are semi-circles connecting the poles.
• At the poles, all longitudes meet at a single point.
• Thus, the distance between them is zero at the poles.

This statement is correct.

Statement 2: Distance between the longitudes is maximum on the Equator.

Longitudes are farthest apart from each other on the Equator. As you move away from the Equator towards either the North Pole or the South Pole, the distance between consecutive longitudes decreases. This is because the circles of latitude (parallel lines showing latitude) become smaller as they approach the poles. The distance between two longitudes is proportional to the cosine of the latitude. At the Equator (latitude $\theta = 0^\circ$), $\cos(0^\circ) = 1$, which is the maximum value of cosine. As latitude increases, $\cos(\theta)$ decreases, reaching $\cos(90^\circ) = 0$ at the poles.

• Longitudes are farthest apart on the Equator.
• The distance decreases as you move towards the poles.
• The maximum separation occurs where the circle of latitude is largest, which is the Equator.

This statement is correct.

Statement 3: Number of longitudes is more than number of latitudes.

Let's count the number of longitudes and latitudes typically used. Longitudes are measured from $0^\circ$ (Prime Meridian) up to $180^\circ$ East and $180^\circ$ West. The $180^\circ$ East and $180^\circ$ West meridians are the same line, known as the Anti-Meridian or International Date Line (in some parts). If we count the meridians at each degree, we have $360^\circ$ of longitude in total (e.g., $0^\circ$, $1^\circ$ E, $2^\circ$ E, ..., $180^\circ$ E, $1^\circ$ W, $2^\circ$ W, ..., $179^\circ$ W). So, there are 360 longitudes if we consider them in degrees.

Latitudes are measured from $0^\circ$ (Equator) up to $90^\circ$ North (North Pole) and $90^\circ$ South (South Pole). If we count the latitude lines at each degree, we have $90^\circ$ in the Northern Hemisphere, $90^\circ$ in the Southern Hemisphere, and the $0^\circ$ Equator. This gives $90 + 90 + 1 = 181$ principal lines of latitude (from $0^\circ$ to $90^\circ$ N and $0^\circ$ to $90^\circ$ S). The poles ($90^\circ$ N and $90^\circ$ S) are points, not lines, but they are included in the range of latitudes.

Comparing the numbers:

• Number of longitudes (at each degree) = 360
• Number of latitudes (at each degree) = 181

Clearly, 360 is more than 181. Therefore, the number of longitudes is more than the number of latitudes.

This statement is correct.

Conclusion

Since all three statements are correct, the option that includes statements 1, 2, and 3 is the correct answer.

Revision Table: Key Concepts of Longitudes and Latitudes

Additional Information on Earth Coordinates

Understanding longitudes and latitudes is crucial for navigation and geographical mapping. Together, a specific latitude and longitude form a geographic coordinate system, allowing us to pinpoint any location on the Earth's surface. For example, the coordinates of a place might be given as $40^\circ$ N latitude and $74^\circ$ W longitude.

• Prime Meridian: Passes through Greenwich, London, and is the reference line for longitude ($0^\circ$).
• Equator: The imaginary line circling the Earth halfway between the North and South poles, representing $0^\circ$ latitude. It is the largest circle of latitude.
• Great Circles: The Equator and all lines of longitude are parts of Great Circles (circles that divide the Earth into two equal hemispheres). Other lines of latitude are Small Circles.
• International Date Line: Roughly follows the $180^\circ$ meridian and is where the date changes.

The system of longitudes and latitudes helps in creating maps, understanding time zones (as Earth rotates $360^\circ$ in 24 hours, meaning $15^\circ$ of longitude per hour), and studying climate patterns which often relate to latitude.