What is the total bandwidth of an FM phone transmission having 5 kHz deviation and 3 kHz modulating frequency?
Why FM bandwidth is estimated with Carson's rule: bandwidth = 2 x (peak deviation + highest modulating frequency). Here that is 2 x (5 kHz + 3 kHz) = 16 kHz. The factor of 2 appears because the sidebands spread out on both sides of the carrier.
Watch out The choice that says 8 kHz is just the sum of deviation and modulating frequency, forgetting to double it for both sidebands.
Carson: add deviation + audio, then double. 5 + 3 = 8, times 2 = 16 kHz.