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CGP EDU Academic Team
Published on: September 11, 2026
If thehighest frequency modulating a carrier is 5kHz, then the number of AM broadcast stations accommodated in a90kHz bandwidth are
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: Understand the bandwidth requirement for each AM station. The total bandwidth for an AM station can be calculated as:
Bandwidth = 2 × (highest frequency of modulation)
Step 2: For the given problem, the highest frequency of modulation is 5 kHz.
Therefore, Bandwidth = 2 × 5 kHz = 10 kHz.
Step 3: Now, calculate the number of AM stations that can be accommodated in a 90 kHz bandwidth:
Number of stations = Total Bandwidth / Bandwidth per station
Number of stations = 90 kHz / 10 kHz = 9.
Therefore, the number of AM broadcast stations is 9.
Bandwidth = 2 × (highest frequency of modulation)
Step 2: For the given problem, the highest frequency of modulation is 5 kHz.
Therefore, Bandwidth = 2 × 5 kHz = 10 kHz.
Step 3: Now, calculate the number of AM stations that can be accommodated in a 90 kHz bandwidth:
Number of stations = Total Bandwidth / Bandwidth per station
Number of stations = 90 kHz / 10 kHz = 9.
Therefore, the number of AM broadcast stations is 9.
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