Sky waves are the radio waves which are directed towards the sky and reflected back by the ionosphere towards the desired location on the earth.
PHXII15:COMMUNICATION SYSTEMS
356803
The power radiated from a linear antenna of length \(l\) is proportional to (Given \(\lambda=\) Wavelength of wave)
1 \(\dfrac{l}{\lambda}\)
2 \(\dfrac{l}{\lambda^{2}}\)
3 \(\dfrac{l^{2}}{\lambda}\)
4 \(\left(\dfrac{l}{\lambda}\right)^{2}\)
Explanation:
The power radiated by a linear antenna of length ' \(l\) ' and wavelength ' \(\lambda\) ' is proportional to both parameters as, \(P \propto\left(\dfrac{l}{\lambda}\right)^{2}\).
JEE - 2023
PHXII15:COMMUNICATION SYSTEMS
356804
The maximum distance between the transmitting and receiving TV towers is D. If the heights of both transmitting and receiving towers are doubled then the maximum distance between them becomes
1 \(2D\)
2 \(\sqrt 2 D\)
3 \(4D\)
4 \(D / 2\)
Explanation:
\(s = \sqrt {2R{h_T}} + \sqrt {2R{h_R}} when\,\,both{\rm{ }}{h_T}\) and \(h_{r}\) at same height and doubled then 's' becomes \(\sqrt{2}\) times
PHXII15:COMMUNICATION SYSTEMS
356805
The height of the antenna I. Limits the population covered by the transmission II. Limits the ground wave propagation III. Effectively used in line of sight communication
1 I & II are true
2 II & III are true
3 III & I are true
4 I, II,III are true
Explanation:
Conceptual Question
PHXII15:COMMUNICATION SYSTEMS
356806
By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by \(21 \%\) ?
1 \(10 \%\)
2 \(12 \%\)
3 \(14 \%\)
4 \(15 \%\)
Explanation:
Range, \(R=\sqrt{2 R h} ; R_{1}=\sqrt{2 R h_{1}}\) \(h_{2}=h_{1}+\left(h_{1} \times \dfrac{21}{100}\right)=1.21 h_{1}\) \(R_{2}=\sqrt{2 R h_{2}}=\sqrt{2 R(1.21) h_{1}}=1.1 \sqrt{2 R h_{1}}\) \(\therefore R_{2}=1.1 R_{1}\) \(\%\) increase in range \(=\dfrac{R_{2}-R_{1}}{R_{1}} \times 100\) \(=(1.1-1) \times 100=10 \%\)
Sky waves are the radio waves which are directed towards the sky and reflected back by the ionosphere towards the desired location on the earth.
PHXII15:COMMUNICATION SYSTEMS
356803
The power radiated from a linear antenna of length \(l\) is proportional to (Given \(\lambda=\) Wavelength of wave)
1 \(\dfrac{l}{\lambda}\)
2 \(\dfrac{l}{\lambda^{2}}\)
3 \(\dfrac{l^{2}}{\lambda}\)
4 \(\left(\dfrac{l}{\lambda}\right)^{2}\)
Explanation:
The power radiated by a linear antenna of length ' \(l\) ' and wavelength ' \(\lambda\) ' is proportional to both parameters as, \(P \propto\left(\dfrac{l}{\lambda}\right)^{2}\).
JEE - 2023
PHXII15:COMMUNICATION SYSTEMS
356804
The maximum distance between the transmitting and receiving TV towers is D. If the heights of both transmitting and receiving towers are doubled then the maximum distance between them becomes
1 \(2D\)
2 \(\sqrt 2 D\)
3 \(4D\)
4 \(D / 2\)
Explanation:
\(s = \sqrt {2R{h_T}} + \sqrt {2R{h_R}} when\,\,both{\rm{ }}{h_T}\) and \(h_{r}\) at same height and doubled then 's' becomes \(\sqrt{2}\) times
PHXII15:COMMUNICATION SYSTEMS
356805
The height of the antenna I. Limits the population covered by the transmission II. Limits the ground wave propagation III. Effectively used in line of sight communication
1 I & II are true
2 II & III are true
3 III & I are true
4 I, II,III are true
Explanation:
Conceptual Question
PHXII15:COMMUNICATION SYSTEMS
356806
By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by \(21 \%\) ?
1 \(10 \%\)
2 \(12 \%\)
3 \(14 \%\)
4 \(15 \%\)
Explanation:
Range, \(R=\sqrt{2 R h} ; R_{1}=\sqrt{2 R h_{1}}\) \(h_{2}=h_{1}+\left(h_{1} \times \dfrac{21}{100}\right)=1.21 h_{1}\) \(R_{2}=\sqrt{2 R h_{2}}=\sqrt{2 R(1.21) h_{1}}=1.1 \sqrt{2 R h_{1}}\) \(\therefore R_{2}=1.1 R_{1}\) \(\%\) increase in range \(=\dfrac{R_{2}-R_{1}}{R_{1}} \times 100\) \(=(1.1-1) \times 100=10 \%\)
Sky waves are the radio waves which are directed towards the sky and reflected back by the ionosphere towards the desired location on the earth.
PHXII15:COMMUNICATION SYSTEMS
356803
The power radiated from a linear antenna of length \(l\) is proportional to (Given \(\lambda=\) Wavelength of wave)
1 \(\dfrac{l}{\lambda}\)
2 \(\dfrac{l}{\lambda^{2}}\)
3 \(\dfrac{l^{2}}{\lambda}\)
4 \(\left(\dfrac{l}{\lambda}\right)^{2}\)
Explanation:
The power radiated by a linear antenna of length ' \(l\) ' and wavelength ' \(\lambda\) ' is proportional to both parameters as, \(P \propto\left(\dfrac{l}{\lambda}\right)^{2}\).
JEE - 2023
PHXII15:COMMUNICATION SYSTEMS
356804
The maximum distance between the transmitting and receiving TV towers is D. If the heights of both transmitting and receiving towers are doubled then the maximum distance between them becomes
1 \(2D\)
2 \(\sqrt 2 D\)
3 \(4D\)
4 \(D / 2\)
Explanation:
\(s = \sqrt {2R{h_T}} + \sqrt {2R{h_R}} when\,\,both{\rm{ }}{h_T}\) and \(h_{r}\) at same height and doubled then 's' becomes \(\sqrt{2}\) times
PHXII15:COMMUNICATION SYSTEMS
356805
The height of the antenna I. Limits the population covered by the transmission II. Limits the ground wave propagation III. Effectively used in line of sight communication
1 I & II are true
2 II & III are true
3 III & I are true
4 I, II,III are true
Explanation:
Conceptual Question
PHXII15:COMMUNICATION SYSTEMS
356806
By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by \(21 \%\) ?
1 \(10 \%\)
2 \(12 \%\)
3 \(14 \%\)
4 \(15 \%\)
Explanation:
Range, \(R=\sqrt{2 R h} ; R_{1}=\sqrt{2 R h_{1}}\) \(h_{2}=h_{1}+\left(h_{1} \times \dfrac{21}{100}\right)=1.21 h_{1}\) \(R_{2}=\sqrt{2 R h_{2}}=\sqrt{2 R(1.21) h_{1}}=1.1 \sqrt{2 R h_{1}}\) \(\therefore R_{2}=1.1 R_{1}\) \(\%\) increase in range \(=\dfrac{R_{2}-R_{1}}{R_{1}} \times 100\) \(=(1.1-1) \times 100=10 \%\)
Sky waves are the radio waves which are directed towards the sky and reflected back by the ionosphere towards the desired location on the earth.
PHXII15:COMMUNICATION SYSTEMS
356803
The power radiated from a linear antenna of length \(l\) is proportional to (Given \(\lambda=\) Wavelength of wave)
1 \(\dfrac{l}{\lambda}\)
2 \(\dfrac{l}{\lambda^{2}}\)
3 \(\dfrac{l^{2}}{\lambda}\)
4 \(\left(\dfrac{l}{\lambda}\right)^{2}\)
Explanation:
The power radiated by a linear antenna of length ' \(l\) ' and wavelength ' \(\lambda\) ' is proportional to both parameters as, \(P \propto\left(\dfrac{l}{\lambda}\right)^{2}\).
JEE - 2023
PHXII15:COMMUNICATION SYSTEMS
356804
The maximum distance between the transmitting and receiving TV towers is D. If the heights of both transmitting and receiving towers are doubled then the maximum distance between them becomes
1 \(2D\)
2 \(\sqrt 2 D\)
3 \(4D\)
4 \(D / 2\)
Explanation:
\(s = \sqrt {2R{h_T}} + \sqrt {2R{h_R}} when\,\,both{\rm{ }}{h_T}\) and \(h_{r}\) at same height and doubled then 's' becomes \(\sqrt{2}\) times
PHXII15:COMMUNICATION SYSTEMS
356805
The height of the antenna I. Limits the population covered by the transmission II. Limits the ground wave propagation III. Effectively used in line of sight communication
1 I & II are true
2 II & III are true
3 III & I are true
4 I, II,III are true
Explanation:
Conceptual Question
PHXII15:COMMUNICATION SYSTEMS
356806
By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by \(21 \%\) ?
1 \(10 \%\)
2 \(12 \%\)
3 \(14 \%\)
4 \(15 \%\)
Explanation:
Range, \(R=\sqrt{2 R h} ; R_{1}=\sqrt{2 R h_{1}}\) \(h_{2}=h_{1}+\left(h_{1} \times \dfrac{21}{100}\right)=1.21 h_{1}\) \(R_{2}=\sqrt{2 R h_{2}}=\sqrt{2 R(1.21) h_{1}}=1.1 \sqrt{2 R h_{1}}\) \(\therefore R_{2}=1.1 R_{1}\) \(\%\) increase in range \(=\dfrac{R_{2}-R_{1}}{R_{1}} \times 100\) \(=(1.1-1) \times 100=10 \%\)
Sky waves are the radio waves which are directed towards the sky and reflected back by the ionosphere towards the desired location on the earth.
PHXII15:COMMUNICATION SYSTEMS
356803
The power radiated from a linear antenna of length \(l\) is proportional to (Given \(\lambda=\) Wavelength of wave)
1 \(\dfrac{l}{\lambda}\)
2 \(\dfrac{l}{\lambda^{2}}\)
3 \(\dfrac{l^{2}}{\lambda}\)
4 \(\left(\dfrac{l}{\lambda}\right)^{2}\)
Explanation:
The power radiated by a linear antenna of length ' \(l\) ' and wavelength ' \(\lambda\) ' is proportional to both parameters as, \(P \propto\left(\dfrac{l}{\lambda}\right)^{2}\).
JEE - 2023
PHXII15:COMMUNICATION SYSTEMS
356804
The maximum distance between the transmitting and receiving TV towers is D. If the heights of both transmitting and receiving towers are doubled then the maximum distance between them becomes
1 \(2D\)
2 \(\sqrt 2 D\)
3 \(4D\)
4 \(D / 2\)
Explanation:
\(s = \sqrt {2R{h_T}} + \sqrt {2R{h_R}} when\,\,both{\rm{ }}{h_T}\) and \(h_{r}\) at same height and doubled then 's' becomes \(\sqrt{2}\) times
PHXII15:COMMUNICATION SYSTEMS
356805
The height of the antenna I. Limits the population covered by the transmission II. Limits the ground wave propagation III. Effectively used in line of sight communication
1 I & II are true
2 II & III are true
3 III & I are true
4 I, II,III are true
Explanation:
Conceptual Question
PHXII15:COMMUNICATION SYSTEMS
356806
By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by \(21 \%\) ?
1 \(10 \%\)
2 \(12 \%\)
3 \(14 \%\)
4 \(15 \%\)
Explanation:
Range, \(R=\sqrt{2 R h} ; R_{1}=\sqrt{2 R h_{1}}\) \(h_{2}=h_{1}+\left(h_{1} \times \dfrac{21}{100}\right)=1.21 h_{1}\) \(R_{2}=\sqrt{2 R h_{2}}=\sqrt{2 R(1.21) h_{1}}=1.1 \sqrt{2 R h_{1}}\) \(\therefore R_{2}=1.1 R_{1}\) \(\%\) increase in range \(=\dfrac{R_{2}-R_{1}}{R_{1}} \times 100\) \(=(1.1-1) \times 100=10 \%\)
