A TV transmitting antenna is 128 m tall. If | vedclass

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

Question

(B) The maximum line-of-sight distance $d$ for a transmitting antenna of height $h_T$ and a receiving antenna at ground level is given by the formula:

Vedclass · Accepted Answer

$\frac{128}{\sqrt{10}} \ km$

Vedclass · Answer

(B) The maximum line-of-sight distance $d$ for a transmitting antenna of height $h_T$ and a receiving antenna at ground level is given by the formula: $d = \sqrt{2 R_e h_T}$.Given:$R_e = 6.4 	imes 10^6 \ m$$h_T = 128 \ m$Substituting the values:$d = \sqrt{2 	imes (6.4 	imes 10^6) 	imes 128}$$d = \sqrt{12.8 	imes 10^6 	imes 128}$$d = \sqrt{128 	imes 10^5 	imes 128}$$d = 128 	imes \sqrt{10^5} \ m$$d = 128 	imes \sqrt{10 	imes 10^4} \ m$$d = 128 	imes 100 \sqrt{10} \ m$$d = 12800 \sqrt{10} \ m$Converting to kilometers $(1 \ km = 1000 \ m)$:$d = \frac{12800 \sqrt{10}}{1000} \ km = 12.8 \sqrt{10} \ km$Wait,checking the calculation again:$d = \sqrt{2 	imes 6.4 	imes 10^6 	imes 128} = \sqrt{12.8 	imes 10^6 	imes 128} = \sqrt{1638.4 	imes 10^6} = \sqrt{16.384 	imes 10^8} = 40477 \ m \approx 40.5 \ km$.Re-evaluating the provided options: $128/\sqrt{10} \approx 128/3.16 \approx 40.5 \ km$. Thus,option $B$ is correct.

$A$ $TV$ transmitting antenna is $128 \ m$ tall. If the receiving antenna is at the ground level,the maximum distance between them for satisfactory communication in line-of-sight mode is (radius of the earth $R_e = 6.4 \times 10^6 \ m$):

Similar Questions

$A$ signal $A \cos \omega t$ is transmitted using $v_0 \sin \omega_0 t$ as a carrier wave. The correct amplitude modulated $(AM)$ signal is:

Which of the following is true for communication via optical fiber?

The modulation index used in amplitude modulation of a message signal of peak voltage $10 \,V$ is $0.5$. By how much should the peak voltage of the carrier signal be changed, so as to obtain the modulation index of $0.8$, keeping the peak voltage of the message signal the same as before?

Which of the following four alternatives is not correct? We need modulation:

For an amplitude-modulated wave,the maximum amplitude is $9 \ V$ and the minimum amplitude is $3 \ V$. The modulation index is ........$\%$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module