Q. In optical communication system operating at 1200 nm, only 2% of the source frequency is available for TV transmission having a bandwidth of 5 MHz. The number of TV channels that can be transmitted is

A) 2 million
B) 10 million
C) 0.1 million
D) 1 million
Explanation

(d) The frequency optical communication
$v = \frac{c}{\lambda}\ or\ v = \frac{3 \times 10^{8}}{1200 \times 10^{- 9}}$
$v = 25 \times 10^{13}\ Hz$
But only 2% of the source frequency is available for TV transmission
$v^{'} = 2.5 \times 10^{14}\ \times 2\%$
Or $v^{'} = 2.5 \times 10^{14}\ \times \frac{2}{100}$
Or $v^{'} = 5 \times 10^{12}\ Hz$
$\therefore Member\ of\ channels = \frac{v^{'}}{bond\ width}$
Or $No\ of\ channels = \frac{{5 \times 10}^{12}}{{5 \times 10}^{6}} = 10^{6} = 1\ million$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.