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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?

a
2×103
b
2×104
c
2×105
d
2×106

detailed solution

Correct option is C

Only 10 % of 10 GHz is utilized by transmitting.    ∴Band available for transmission=10100×10×109=109Hz    Now, if there are n channels each using 5 KHz then ,  n×5×103=109 ⇒n=2×105

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