What is the wavelength of a wave represented by the equation y = 2 sin 4π(10t – x), if x and t are measured in centimetres and seconds respectively? [π = 3.14] A. 0.16cm B. 0.50cm C. 1.57cm D. 2.00cm
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y = 2 sin 4π(10t – x)
y = 2 sin (40πt – 4πx)
Comparing,
y=Asin (wt-kx)
k= 4π
As per the formula,
k=2π/wavelength
wavelength=2π/4π
wavelength=0.5cm
I hope this helps ( ╹▽╹ )
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