It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency f. If the maximum velocity during the oscillation is V, then V must be proportional to A. f B. $$\frac{1}{{\text{f}}}$$ C. $$\frac{1}{{{{\text{f}}^2}}}$$ D. f2

The correct answer is D. f2.

The maximum velocity during a sinusoidal oscillation is equal to the product of the amplitude and the angular frequency. The angular frequency is equal to 2π times the frequency. Therefore, the maximum velocity is proportional to the square of the frequency.

Option A is incorrect because the maximum velocity is proportional to the square of the frequency, not the frequency itself.

Option B is incorrect because the maximum velocity is proportional to the square of the frequency, not the inverse of the frequency.

Option C is incorrect because the maximum velocity is proportional to the square of the frequency, not the inverse of the square of the frequency.