A T.V tower has a height 150 m. What is the population density around the T.V tower if the tota

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A T.V tower has a height 150 m. What is the population...

A T.V tower has a height $150 \mathrm{~m}$. What is the population density around the T.V tower if the total population covered is 50 lakh ? (Radius of earth $=6.4 \times 10^{6} \mathrm{~m}$ ) (A) $82.6 / \mathrm{km}^{2}$ (B) $800.6 / \mathrm{km}^{2}$ (C) $828.6 / \mathrm{km}^{2}$ (D) $876.6 / \mathrm{km}^{2}$

A T.V tower has a height $150 \mathrm{~m}$. What is the population density around the T.V tower if the total population covered is 50 lakh ? (Radius of earth $=6.4 \times 10^{6} \mathrm{~m}$ )
(A) $82.6 / \mathrm{km}^{2}$
(B) $800.6 / \mathrm{km}^{2}$
(C) $828.6 / \mathrm{km}^{2}$
(D) $876.6 / \mathrm{km}^{2}$

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Key Concepts

Population Density

Population density refers to the number of individuals living per unit area. It is computed by dividing the total population by the area over which the population is distributed. This concept is essential in urban planning and geography for understanding how crowded or sparsely populated a region is.

Line-of-Sight Distance on a Curved Surface

When determining the distance over which something is visible from an elevated point on a curved surface like Earth, the curvature of the Earth must be taken into account. The line-of-sight distance (often referred to as the horizon distance) can be approximated using the formula d = ?(2Rh), where R is the radius of the Earth and h is the height of the observer or object.

Area of a Circle

The area of a circle is calculated using the formula A = ?r², where r is the radius of the circle. This concept is used when determining the coverage area, for example, the area over which a population is spread, especially when the boundary is defined by a constant distance from a central point.

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