An audio signal consists of two distinct sounds : one a human speech signal in the frequency band of $200 H z$ to $2700 H z$ , while the other is a high frequency music signal in the frequency band of $10200 H z$ to $15200 H z$ . The ratio of the AM signal bandwidth required to send both the signals together to the AM signal bandwidth required to send just the human speed is:

2

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5

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6

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3

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Solution

The correct option is C $3$
Bandwidth of the human speech signal without modulation, $f_{h} = 2700 - 200 = 2500 H z$
Bandwidth of the music signal without modulation, $f_{m} = 15200 - 10200 = 5000 H z$

AM signal bandwidth to send human speech signal only, $B_{h} = 2 f_{h} = 5000 H z$
AM signal bandwidth to send both the human signal and the music signal is, $B_{m} = 2 (f_{m} + f_{h}) = 15000 H z$

$B_{m} : B_{h} = 3 : 1$

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