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Equation of a progressive wave is given by y = 4 sin(π/5) sin(4π/3 − πt). Then which of the following is correct?

1. v = 5 cm
2. λ = 18 cm
3. a = 40 cm
4. f = 50 Hz

Correct answer: f = 50 Hz

Solution

The given wave equation can be rewritten in the standard form y = A sin(kx - ωt), where ω = 2πf. From the equation, ω = π, so f = ω/2π = π/2π = 0.5 Hz = 50 Hz. Thus, option D is correct.

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