ATV tower has a height of 100m. How much population is covered by TV broadcast. If the average population density around the tower is `1000 km^(-2)` ? (radius of earth =`6.4xx10^(6)m`)

Options

A. `10^(3)`
B. `10^(6)`
C. `4xx10^(6)`
D. `4xx10^(9)`

Explanation

To solve the problem of determining how much population is covered by TV broadcast from a tower of height 100 m with an average population density of 1000 km², we can follow these steps:

### Step 1: Calculate the maximum coverage radius (D)
The maximum coverage distance (D) from the tower can be calculated using the formula:
\[ D = \sqrt{2RH} \]
where:
- \( R \) = radius of the Earth = \( 6.4 \times 10^6 \) m
- \( H \) = height of the tower = 100 m
...