JEE Main · 2018 · 08 Apr 2018 · Offline · Semiconductors

A telephonic communication service is working at carrier frequency of 10 GHz. Only

10%

of it is utilized for transmission. How many telephonic channels can be transmitted simultaneously if each channel requires a bandwidth of 5 kHz?

Answer: (D)

Solution

Only a tenth of the

10

GHz carrier is usable, so the available bandwidth is

0.1 \times 10 \times 1 0^{9} = 1 0^{9}

Hz. Dividing by the

5 \times 1 0^{3}

Hz each channel needs, the number that can be sent at once is

\frac{1 0 ^{9}}{5 \times 1 0 ^{3}} = 2 \times 1 0^{5}

JEE Main · 2018 · 08 Apr 2018 · Offline · Single correct option