Q80 / 90 · JEE Main 2022 (29 Jun Shift 1) · Physics

Only 2% of the optical source frequency is the available channel bandwidth for an optical communicating system operating at 1000 nm. If an audio signal requires a bandwidth of 8kHz, how many channels can be accommodated for transmission

  • A
    375×107
  • Correct answer
    B
    75×107
  • C
    375×108
  • D
    75×109

Solution

Frequency f=cλ=3×1081000×10-9=3×1014 Hz

Band width used for transmission =2100×3×1014 Hz=6×1012 Hz

Number of channels N=Total bandwidth of channel Bandwidth needed per channel =6×10128×103=6008×107=75×107

Hence, the correct answer is option: 'B'.

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