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Equation of progressive wave is given by y = 4 sin 2πft. Comparing the given equations with equation of progressive wave, we get?

1. f1 = 500 Hz, f2 = 250 Hz
2. f1 = 250 Hz, f2 = 253 Hz
3. f1 = 253 Hz, f2 = 250 Hz
4. f1 = 250 Hz, f2 = 500 Hz

Correct answer: f1 = 250 Hz, f2 = 500 Hz

Solution

The given equation y = 4 sin 2πft represents a progressive wave. Comparing it with the standard form y = A sin(2πft ± kx), the frequency f is directly given as 500 Hz. Thus, f1 = 250 Hz and f2 = 500 Hz.

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