A TV transmission tower antenna is at a height of 20 m. How much service area can it cover if the receiving antenna is (i) At ground level, (ii) At a height of 25 m? Calculate the percentage increase in area covered in case (ii) Relative to case (i).

3 Views|Posted 10 months ago

Asked by Shiksha User

1 Answer

Sort by:

Answered by

Alok Kumar Singh | Contributor-Level 10

10 months ago

This is a Short Answer Type Questions as classified in NCERT Exemplar

Range = $\sqrt[]{2 h R} = \sqrt[]{2 * 20 * 6.4 * 10^{6}} = 16 k m$

Area = $π R^{2} = 3.14 * 16 * 16$ =803.84km²

When H= 25 m

Range = $\sqrt[]{2 h R} + \sqrt[]{2 H R} = \sqrt[]{2 * 20 * 6.4 * 10^{6}} + \sqrt[]{2 * 25 * 6.4 * 10^{6}}$ = 33.9km

Area= 3.14 $* 33.9 * 33.9 = 3608.52 k m$ ²

percentage increase = $\frac{3608.52 - 803.84}{803.84} * 100 = 348.9$ %

Upvote

Similar Questions for you

The TV transmission tower at a particular station has a height of 125 m. For doubling the coverage of its range, the height of the tower should be increased by

Vishal Baghel

According to question, we can write

$d = \sqrt[]{2 h R} \Rightarrow \frac{d_{2}}{d_{1}} = \sqrt[]{\frac{h_{2}}{h_{1}}} \Rightarrow h_{2} = {(\frac{d_{2}}{d_{1}})}^{2} h_{1} = {(\frac{2}{1})}^{2} \times 125 = 500 m$

Increment in height of tower = h₂ – h₁ = 500 – 125 = 375 m

A signal containing multiple frequencies is shown in figure A. It is passed through 2 different filters and then outputs are shown in figure B & C.

Vishal Baghel

Low pass filter will allow low frequency signal to pass while high pass filter allow high frequency to pass through

An antenna is mounted on a 400m tall building. What will be the wavelength of signal that can be radiated effectively by the transmission tower upto a range of 44kg?

Vishal Baghel

$λ > h \Rightarrow λ > 400 m$

Vishal Baghel

µ = A? /A? = 0.5 {A? = 20 volt, A? = 40 volt}
m (t) = A? sin ω? t {ω? = 2π×10? }
c (t) = A? sin ω? t {ω? = 2π×10×10³}
C? (t) = (A? + A? sin ω? t) sin ω? t ⇒ A? {1+ µsin ω? t} sin ω? t

For VHF signal broadcasting........ km² of maximum service area will be covered by an antenna tower of height 30m, if the receiving antenna is placed at ground. Let radius of the earth be 6400km. (Round off to the Nearest Integer) (Take π as 3.14)

Vishal Baghel

Kindly consider the following figure