Question

To cover population of 20 lakh, a transmission tower should have a height of:

(Radius of the earth $=$ 6,400km, Population is 1000/$k{m}^2$ )

• A. 25 m
• B. 50 m
• C. 75 m
• D. 100 m

Answer 1

The correct option is B 50 m

$Areatobecovered=\frac{totalpopulationgiven}{populationdensity}=\frac{20,00,000}{1000}=2000{km}^2{d}_{max}=\sqrt{2R{H}_T}=\sqrt{2\times 6400\times H_T}=\sqrt{12800\times H_T}Areacovered=\pi {d_{max}}^2=\pi \times 12800\times H_T=2000\Rightarrow H_T=\frac{2000}{\pi \times 12800}=50m$