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If a FM signal having modulation index mf is passed through a frequency tripler, then the modulation index of output of frequency tripler is ________

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If a FM signal having modulation index mf is passed through a frequency tripler, then the modulation index of output of frequency tripler is ________

(a) mf

(b) 3mf

(c) ^1⁄3 mf

(d) ^1⁄9 mf

I had been asked this question in an online quiz.

My question comes from Modulation Using Non-Linear Devices (Balanced Modulator) in section Amplitude Modulation of Analog Communications

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Correct choice is (b) 3mf

Explanation: A frequency tripler is a frequency multiplier in which an electronic circuit  generates an output signal whose output frequency is a harmonic (multiple) of its input frequency. When a FM signal is passed through a frequency tripler, it increases its modulation index 3 times. So the modulation index of output is 3mf.

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