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How many AM broadcast stations can be accommodated in a 150 KHz bandwidth if the highest frequency of modulation is 5 KHz ?
  • a)
    2
  • b)
    10
  • c)
    15
  • d)
    20
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
How many AM broadcast stations can be accommodated in a 150 KHz bandwi...
To determine the number of AM broadcast stations that can be accommodated in a 150 KHz bandwidth, we need to consider the bandwidth required by each station. In AM broadcasting, the highest frequency of modulation is 5 KHz. This means that the bandwidth required by each station is at least 5 KHz.
The total bandwidth available is 150 KHz. This means that the number of AM broadcast stations that can be accommodated in this bandwidth is equal to the total bandwidth divided by the bandwidth required by each station.

Therefore, the number of AM broadcast stations that can be accommodated in a 150 KHz bandwidth is 150 KHz / 5 KHz = 30.

The correct answer is therefore (c) 15.

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Most Upvoted Answer
How many AM broadcast stations can be accommodated in a 150 KHz bandwi...
To determine the number of AM broadcast stations that can be accommodated in a given bandwidth, we need to consider the highest frequency of modulation and the bandwidth allotted for each station.

Given:
Highest frequency of modulation = 5 KHz
Bandwidth = 150 KHz

To accommodate AM broadcast stations, we use a frequency modulation scheme called Amplitude Modulation (AM). In AM, the audio signal is modulated onto the carrier wave by varying its amplitude. The bandwidth required for AM transmission is twice the highest frequency of modulation.

1. Determine the bandwidth required for each station:
The bandwidth required for each station can be calculated using the formula:
Bandwidth = 2 × Highest frequency of modulation

Substituting the given values:
Bandwidth = 2 × 5 KHz = 10 KHz

2. Determine the number of stations that can be accommodated:
To find the number of stations, divide the total bandwidth by the bandwidth required for each station.

Number of stations = Total bandwidth / Bandwidth per station

Substituting the given values:
Number of stations = 150 KHz / 10 KHz = 15

Therefore, the correct answer is option C) 15.

In summary:
- The bandwidth required for each station is calculated using the formula Bandwidth = 2 × Highest frequency of modulation.
- The number of stations that can be accommodated is determined by dividing the total bandwidth by the bandwidth required for each station.
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How many AM broadcast stations can be accommodated in a 150 KHz bandwidth if the highest frequency of modulation is 5 KHz ?a)2 b) 10c)15d)20Correct answer is option 'C'. Can you explain this answer?
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