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What is the correct statement about FM modulation index?

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What is the correct statement about FM modulation index?

(a) increases with both modulation frequency and deviation

(b) decreases with modulation frequency and increases with deviation

(c) it increase with modulation frequency and decreases with deviation

(d) it is equal to twice the deviation

I have been asked this question in an online interview.

My doubt is from Chopper Circuit topic in chapter Side Band Techniques of Analog Communications

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The correct answer is (b) decreases with modulation frequency and increases with deviation

Explanation: Modulation index tells us the amount by which the carrier wave is varied with respect to the message signal. In FM, modulation index is the ratio of frequency deviation and modulating frequency. Frequency modulated modulation index increases as deviation increase. It also decreases with modulation frequency.

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