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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Communication System

NTA Abhyas 2020 · Physics · Communication System

In optical communication systems operating at 1200nm , only 2 % of...

In optical communication systems operating at 1200nm1200nm, only 22 % of the source frequency is available for TV transmission having a bandwidth of 5MHz5MHz. The number of TV channels that can be transmitted is 10n{10}^{n}. The value of nn is

Correct answer

6

Step-by-step solution

The frequency of optical communication is given by,

v=cλv = \dfrac{c}{\lambda} or v=3×1081200×10−9v = \dfrac{3 \times {10}^{8}}{1200 \times {10}^{- 9}}

v=25×1013Hzv = 25 \times {10}^{13}Hz

But only 22 % of the source frequency is available for TV transmission.

v′=2.5×1014×2{v}^{′} = 2 .5 \times {10}^{14} \times 2%

v′=2.5×1014×2100{v}^{′} = 2 .5 \times {10}^{14} \times \dfrac{2}{100}

v′=5×1012Hz{v}^{′} = 5 \times {10}^{12}Hz

∴Numberofchannels=v′bandwidth∴ Numberofchannels = \dfrac{{v}^{′}}{bandwidth}

Noofchannels = \dfrac{{5 \times 10}^{12}}{{5 \times 10}^{6}} = {10}^{6} = 1million
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