The heights of transmitting and receiving ant | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The maximum distance $d_m$ between the transmitting antenna of height $h_t$ and the receiving antenna of height $h_r$ for line-of-sight communicat

Vedclass · Accepted Answer

$96$

Vedclass · Answer

(B) The maximum distance $d_m$ between the transmitting antenna of height $h_t$ and the receiving antenna of height $h_r$ for line-of-sight communication is given by the formula: $d_m = \sqrt{2Rh_t} + \sqrt{2Rh_r}$.Given: $R = 6.4 	imes 10^6 \ m$,$h_t = \frac{R}{20000}$,and $h_r = \frac{R}{80000}$.Substituting the values:$d_m = \sqrt{2R \cdot \frac{R}{20000}} + \sqrt{2R \cdot \frac{R}{80000}}$$d_m = R \sqrt{\frac{2}{20000}} + R \sqrt{\frac{2}{80000}}$$d_m = R \sqrt{\frac{1}{10000}} + R \sqrt{\frac{1}{40000}}$$d_m = R \cdot \frac{1}{100} + R \cdot \frac{1}{200}$$d_m = R \left( \frac{2+1}{200} ight) = R \cdot \frac{3}{200}$$d_m = (6.4 	imes 10^6) \cdot \frac{3}{200} = 6.4 	imes 10^4 \cdot 1.5 = 9.6 	imes 10^4 \ m = 96 \ km$.

The heights of transmitting and receiving antennas are respectively $\frac{1}{20000}$ and $\frac{1}{80000}$ times the radius of the earth. The maximum distance between these two antennas for satisfactory communication in line of sight mode is (Radius of the earth $= 6.4 \times 10^6 \ m$) (in $km$)

Similar Questions

$A$ modulating signal is a square wave,as shown in the figure. If the carrier wave is given as $c(t) = 2 \sin(8 \pi t)$ volts,the modulation index is:

The carrier frequency of a transmitter is provided by a tank circuit of a coil of inductance $49\,\mu H$ and a capacitance of $2.5\,nF$. It is modulated by an audio signal of $12\,kHz$. The frequency range occupied by the side bands is

$A$ telephonic communication service is working at a carrier frequency of $20 GHz$. Only $20 \%$ of it is utilized for transmission. If each channel requires a bandwidth of $5 kHz$,then the number of telephonic channels that can be transmitted simultaneously are

When the modulating frequency is doubled, the modulation index is halved and the modulating voltage remains constant, the modulation system is

For effective radiation of a wave with a frequency of $20 \text{ MHz}$,what should be the length of the antenna in $m$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module