How many AM broadcast stations can be accommodated in 6 MHz bandwidth of each station transmits a signal which was modulated by an audio having maximum frequency 5 kHz?

The total number of AM broadcast stations that can be accommodated in a 6 MHz bandwidth with each station transmitting a signal modulated by an audio signal with a maximum frequency of 5 kHz can be calculated using the following formula:

Number of stations = (Available bandwidth) / (Required bandwidth per station)

In this case, the available bandwidth is 6 MHz, and the required bandwidth per station can be determined by considering the following:

- Each AM broadcast station in the US is allocated a channel of 10 kHz bandwidth.

- The double-sideband (DSB) modulation technique is commonly used in AM broadcasting, which requires twice the bandwidth of the modulating signal.

- Therefore, the required bandwidth per station is 2 * (2 * 5 kHz) = 20 kHz.

Now, we can calculate the number of stations that can be accommodated in the 6 MHz bandwidth:

Number of stations = (6 MHz) / (20 kHz) = 300 stations

Therefore, a total of 300 AM broadcast stations can be accommodated in a 6 MHz bandwidth with each station transmitting a signal modulated by an audio signal with a maximum frequency of 5 kHz.