By what percentage will the transmission rang | vedclass

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

Question

(C) The transmission range $d$ of a $TV$ tower of height $h$ is given by the formula $d = \sqrt{2Rh}$,where $R$ is the radius of the Earth.Let the ini

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(C) The transmission range $d$ of a $TV$ tower of height $h$ is given by the formula $d = \sqrt{2Rh}$,where $R$ is the radius of the Earth.Let the initial height be $h_1$ and the initial range be $d_1 = \sqrt{2Rh_1}$.The new height $h_2$ is increased by $21 \%$,so $h_2 = h_1 + 0.21h_1 = 1.21h_1$.The new range $d_2$ is given by $d_2 = \sqrt{2Rh_2} = \sqrt{2R(1.21h_1)} = \sqrt{1.21} 	imes \sqrt{2Rh_1} = 1.1 	imes d_1$.The percentage increase in the range is given by $\frac{d_2 - d_1}{d_1} 	imes 100 \%$.Substituting the values: $\frac{1.1d_1 - d_1}{d_1} 	imes 100 \% = (1.1 - 1) 	imes 100 \% = 0.1 	imes 100 \% = 10 \%$.

By what percentage will the transmission range of a $TV$ tower be affected when the height of the tower is increased by $21 \%$ (in $\%$)?

Similar Questions

The amplitude of $15 \sin (1000 \pi t)$ is modulated by $10 \sin (4 \pi t)$ signal. The amplitude modulated signal contains frequencies of
$1. 500\,Hz$
$2. 2\,Hz$
$3. 250\,Hz$
$4. 498\,Hz$
$5. 502\,Hz$
Choose the correct answer from the options given below:

Broadcasting antennas are generally

$A$ message signal of frequency $10 kHz$ and peak voltage of $15 V$ is used to modulate a carrier frequency of $1 MHz$ and peak voltage of $30 V$. Determine the modulation index.

For effective transmission of a wave with frequency $3000 \text{ kHz}$,the minimum length of the antenna should be ...... $m$.

In the given detector circuit,the suitable value of carrier frequency is

Vedclass Test Series

Exam Paper Generator

Online Exam Module