Question

A TV transmission tower has a height of 240 m. Signals broadcast from this tower will be received by LOS communication at a distance of (assume the radius of earth to be 6.4 × 10⁶ m)

1. 100 km
2. 24 km
3. 55 km
4. 50 km

विकल्प

• a, b and c

• b, c and d

• c, a and b

• a, d and c

Answer 1

b, c and d

Explanation:

Here, h = 240 m

d = ?

R = 6.4 × 106 m

The maximum distance on earth from the transmitter up to which a signal can be received is

d = `sqrt(2Rh)`

= `sqrt(2 xx (6.4 xx 10^6 xx 240))`

= `55.4 xx 10^3` m

= 55.4 km

Therefore, the range of 55.4 km covers the distance 24 km, 55 km and 50 km.