A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the x -direction in 0.3 sec. The crest P is at x = 0 at t = 0 sec and maximum displacement of the wave is 2 cm. Which equation

Question

A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the x -direction in 0.3 sec. The crest P is at x = 0 at t = 0 sec and maximum displacement of the wave is 2 cm. Which equation correctly represents this wave ?

TestHub · Accepted Answer

​ v = time distance ​ v = 0.3 12 ​ = 4 cm / s k = λ 2 π ​ = 7.5 2 π ​ = 15 4 π ​ = 0.83 v = k ω ​ ⇒ ω = vk = 4 × 15 4 π ​ = 3.35 ​ So y = A cos ( k x − ω t )

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