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If a, b, c, d are inputs to a gate and x is its output, then, as per the following time graph, the gate is :
Option: 1 NOT
Option: 2 AND
Option: 3 OR
Option: 4 NAND
\

The output of OR gate is 0 when all inputs are 0 and output is 1 when at least one of the input is 1.

Observing output x it is 0 when all inputs are 0 and it is 1 when at least one of the inputs is 1
therefore, the gate is OR

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Posted by

Ritika Jonwal

The amplitude of upper and lower side bands of A.M. wave where a carrier signal with frequency $11.21 \mathrm{MHz}$ , peak voltage $15 \mathrm{~V}$ is amplitude modulated by a $7.7 \mathrm{kHz}$ sine wave of $5 \mathrm{~V}$ amplitude are $\frac{\mathrm{a}}{10} \mathrm{~V}$ and $\frac{\mathrm{b}}{10} \mathrm{~V}$ respectively. Then the value of $\frac{a}{b}$ is______

$\begin{gathered} f_{c}=11.21 \times 10^{6} \mathrm{~Hz} \\ A_{c}=15 \\ f_{m}=7.7 \times 10^{3} \mathrm{~Hz} \\ A_{m}=5 \mathrm{~V} \end{gathered}$

$\begin{aligned} \frac{a}{10}=\frac{b}{10} &=\frac{\mu A_{c}}{2} \\ \frac{a}{b} &=1 \end{aligned}$

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vishal kumar

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The maximum amplitude for an amplitude modulated wave is found to be $12V$ while the minimum amplitude is found to be $3V$ . The modulation index is $0.6x$ where $x$ is ______.

$\begin{aligned} &\text { Maximum \: amplitude}=V_{\text {max }}=12\\ \end{aligned}$

$\begin{aligned} &\text { Minimum amplitude }=V_{\text {min }}=3\\ \end{aligned}$

$\begin{aligned} &\mu =\frac{V_{\max }-V_{\min }}{V_{\max }+V_{\min }}=\frac{9}{15}\\ &\mu =0.6\\ &\therefore x=1 \end{aligned}$

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vishal kumar

An amplitude modulated wave is represented by $C_{m}\left ( t \right )= 10\left ( 1+0\cdot 2\cos 12560t \right )\sin \left ( 111\times 10^{4}t \right )$ volts. The modulating frequency in kHz will be -----------------------.

$C_{m}\left ( t \right )= 10\left ( 1+0\cdot 2\cos 12560t \right )\sin \left ( 111\times 10^{4}t \right )$
$\omega _{m}= 12560= 2\pi f$
$12560= 6\cdot 28\times f$
$f= \frac{12560}{6\cdot 28}$
$= 2\cdot 0\, kHz$
$f= 2\, kHz$

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vishal kumar

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A transmitting antenna at top of a tower has a height of 50 m and the height of receiving antenna is 80 m. What is the range of communication for Line of Sight (LoS) mode?
[use radius of earth = 6400 km]
Option: 1 80.2 km
Option: 2 144.1 km
Option: 3 57.28 km
Option: 4 45.5 km

$Range\; of\: communication = \sqrt{2h_{T}R}+\sqrt{2h_{R}R}$
$= \sqrt{2\times 50\times 6400\times 10^{3}}+\sqrt{2\times 80\times 6400\times 10^{3}}$
$=10\times 80\times 10\sqrt{10}+40\times 80\times 10$
$=800\left ( 10\sqrt{10}+40 \right )$
$=800\left ( 31\cdot 62+40 \right )$
$Range=57\cdot 28\times 10^{3}m= 57\cdot 28\, km$
The correct option is (3)

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vishal kumar

A transmitting antenna has a height of $320 \mathrm{~m}$ and that of receiving antenna is $2000 \mathrm{~m}$ . The maximum distance between them for satisfactory communication in line of sight mode is $'d'$ . The value of $' d ' is$ ________ $\mathrm{km}.$

$Range\, of\, communication= \sqrt{2h_{T}R}+\sqrt{2h_{R}R}$
$= \sqrt{2\times 320\times 6400\times 10^{3}}+\sqrt{2\times 2000\times 6400\times 10^{3}}$
$=80\times 80\times 10+200\times 80\times 10$
$=64000+160000$
$=224000 \, m$
$=224 \, km$

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vishal kumar

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An antenna is mounted on a $400 \mathrm{~m}$ tall building. What will be the wavelength of signal that can be radiated effectively by the transmission tower upto a range of $44 \mathrm{~km}$ ?
Option: 1 $605\: m$
Option: 2 $302\: m$
Option: 3 $37.8\: m$
Option: 4 $75.6\: m$

Range of Transmission $= \sqrt{2hR}$

Height of transmission tower $= h= h_{building }+h_{antenna}$

$44000= \sqrt{2\times h\times 6400\times10^{3}}$

$44000\times 44000= 2h\times 6400\times10^{3}$

$h_{min}= 151.25$

$\lambda = 4h= 605m$

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vishal kumar

If the sum of the heights of transmitting and receiving antennas in the line of sight of communication is fixed at $160 \mathrm{~m}$ , then the maximum range of LOS communication is___________ $\mathrm{km}.$
$(Take \: radius\: of \: Earth =6400 \mathrm{~km} )$

Range of LOS communication $= \sqrt{2h_{T}R}+\sqrt{2h_{R}R}$
                 $h_{T}+h_{R}=160\, m$
For maximum range ,
$h_{T}=h_{R}$
$\therefore h_{T}=h_{R}= 80 m$
     $= 2\sqrt{2h_{T}R}$
   $= 2\times \sqrt{2\times 80\times 6400\times 10^{3}}$
   $= 2\times \sqrt{160\times 6400\times 10^{3}}$
$= 2\times80\times 40\times 10$
$\Rightarrow Range= 64000 m= 64\, km$

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vishal kumar

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A bandwidth of $6 \mathrm{MHz}$ is available for A.M. transmission. If the maximum audio signal frequency used for modulating the carrier wave is not to exceed $6 \mathrm{kHz}$ . The number of stations that can be broadcasted within this band simultaneously without interfering with each other will be_________. Given 27

Signal Bandwidth $=2f_{m}$

$\because$ $f_{m}=6KHz$

$\therefore$ Signal Bandwidth $=12KHz$

No of stations that can be broadcast is let say $N$

$N=\frac{6MHz}{12KHz}=\frac{6000}{12}=500$

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vishal kumar

A carrier wave with amplitude of $250 \mathrm{~V}$ is amplitude modulated by a sinusoidal base band signal of amplitude $150 \mathrm{~V}$ . The ratio of minimum amplitude to maximum amplitude for the amplitude modulated wave is $50: x$ , then value of $x$ is____________.

$A_{max}= A_{c}+A_{m}= 250+150= 400$
$A_{min}= A_{c}-A_{m}= 250-150= 100$
$\frac{A_{min}}{A_{max}}= \frac{100}{400}= \frac{1}{4}= \frac{50}{200}$
$x= 200$

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Get Answers to all your Questions

All Questions

If a, b, c, d are inputs to a gate and x is its output, then, as per the following time graph, the gate is : Option: 1 NOT Option: 2 AND Option: 3 OR Option: 4 NAND \

Posted by

Ritika Jonwal

The amplitude of upper and lower side bands of A.M. wave where a carrier signal with frequency , peak voltage is amplitude modulated by a sine wave of amplitude are respectively. Then the value of is______

Posted by

vishal kumar

Crack CUET with india's "Best Teachers"

The maximum amplitude for an amplitude modulated wave is found to be while the minimum amplitude is found to be . The modulation index is where is ______.

Posted by

vishal kumar

An amplitude modulated wave is represented by volts. The modulating frequency in kHz will be -----------------------.

Posted by

vishal kumar

JEE Main high-scoring chapters and topics

A transmitting antenna at top of a tower has a height of 50 m and the height of receiving antenna is 80 m. What is the range of communication for Line of Sight (LoS) mode? [use radius of earth = 6400 km]Option: 1 80.2 kmOption: 2 144.1 kmOption: 3 57.28 kmOption: 4 45.5 km

If a, b, c, d are inputs to a gate and x is its output, then, as per the following time graph, the gate is :
Option: 1 NOT
Option: 2 AND
Option: 3 OR
Option: 4 NAND
\

The maximum amplitude for an amplitude modulated wave is found to be $12V$ while the minimum amplitude is found to be $3V$ . The modulation index is $0.6x$ where $x$ is ______.

An amplitude modulated wave is represented by $C_{m}\left ( t \right )= 10\left ( 1+0\cdot 2\cos 12560t \right )\sin \left ( 111\times 10^{4}t \right )$ volts. The modulating frequency in kHz will be -----------------------.

A transmitting antenna at top of a tower has a height of 50 m and the height of receiving antenna is 80 m. What is the range of communication for Line of Sight (LoS) mode?
[use radius of earth = 6400 km]
Option: 1 80.2 km
Option: 2 144.1 km
Option: 3 57.28 km
Option: 4 45.5 km

A transmitting antenna has a height of $320 \mathrm{~m}$ and that of receiving antenna is $2000 \mathrm{~m}$ . The maximum distance between them for satisfactory communication in line of sight mode is $'d'$ . The value of $' d ' is$ ________ $\mathrm{km}.$

An antenna is mounted on a $400 \mathrm{~m}$ tall building. What will be the wavelength of signal that can be radiated effectively by the transmission tower upto a range of $44 \mathrm{~km}$ ?
Option: 1 $605\: m$
Option: 2 $302\: m$
Option: 3 $37.8\: m$
Option: 4 $75.6\: m$

If the sum of the heights of transmitting and receiving antennas in the line of sight of communication is fixed at $160 \mathrm{~m}$ , then the maximum range of LOS communication is___________ $\mathrm{km}.$
$(Take \: radius\: of \: Earth =6400 \mathrm{~km} )$

A carrier wave with amplitude of $250 \mathrm{~V}$ is amplitude modulated by a sinusoidal base band signal of amplitude $150 \mathrm{~V}$ . The ratio of minimum amplitude to maximum amplitude for the amplitude modulated wave is $50: x$ , then value of $x$ is____________.