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What is the frequency deviation produced by noise if the modulating frequency is 400Hz and the phase difference introduced by noise is 0.43rad?

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What is the frequency deviation produced by noise if the modulating frequency is 400Hz and the phase difference introduced by noise is 0.43rad?

(a) 124Hz

(b) 163Hz

(c) 172Hz

(d) 200Hz

The question was posed to me during a job interview.

This is a very interesting question from Noise Suppression Effects of FM in portion Amplitude & Frequency Modulation of Avionics

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Correct answer is (c) 172Hz

Easy explanation: δ=ɸ(fm)=0.43(400)=172Hz.

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