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If y = 0.02 sin (30x - 400t) (SI units), the frequency of the wave is A. 800 πl Hz B. 30 Hz C. 200/πl Hz D. 15/πl Hz

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Final answer:

The frequency of the wave is determined by the angular frequency, which can be calculated using the equation provided.

Step-by-step explanation:

The equation given represents a sinusoidal wave, where y is the displacement of the wave, x is the position, and t is the time. The general formula for a sinusoidal wave is y = A sin(kx - ωt), where A is the amplitude and ω is the angular frequency. By comparing the given equation with the general formula, we can determine the amplitude and angular frequency. In this case, we have A = 0.02 and k = 30, which means the angular frequency is 400.

To find the frequency of the wave, we can use the formula f = ω/2π. Substituting the value of ω into the formula, we get f = 400/2π = 200/π Hz. Therefore, the correct answer is option C, 200/π Hz.

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