Question

FM radio stations have carrier frequencies that are separated by 0.20 MHz. When the radio is tuned to a station, such as 100.1 MHz, the resonance width of the receiver circuit should be much smaller than 0.2 MHz, so that adjacent stations are not received. If:

a) The resonance width of the receiver circuit is 0.15 MHz
b) The resonance width of the receiver circuit is 0.25 MHz
c) The carrier frequency is 100.3 MHz
d) The carrier frequency is 99.9 MHz

Answer 1

The resonance width of the receiver circuit should be smaller than 0.2 MHz to prevent interference from adjacent stations.

Step-by-step explanation:

FM radio waves are used for commercial radio transmission in the frequency range of 88 to 108 MHz. The carrier frequencies of different radio stations should be separated by at least 0.020 MHz to prevent interference. The resonance width of the receiver circuit should be smaller than 0.2 MHz, so that adjacent stations are not received.

For the given options:

1. If the resonance width of the receiver circuit is 0.15 MHz, it is smaller than 0.2 MHz, so adjacent stations will not be received.
2. If the resonance width of the receiver circuit is 0.25 MHz, it is larger than 0.2 MHz, so adjacent stations may be received.
3. If the carrier frequency is 100.3 MHz, it is within the acceptable range and will be received.
4. If the carrier frequency is 99.9 MHz, it is within the acceptable range and will be received.