The vertical displacement of a string is given by y(x,t) = (6.00 mm) cos[(3.25 m^-1)x - (7.22 s^-1)t]. What is the wavelength of the wave? A) 3.25 m B) 1.93 m C) 0.870 m D) 0.308 m E) 0.139 m

Question

Quizplus · Accepted Answer

The general equation for a wave is y(x,t) = A sin(kx - ωt), where A is the amplitude, k is the wavevector (2π/λ), λ is the wavelength, ω is the angular frequency (2πf), and f is the frequency. Comparing this to the given equation, we can see that A = 6.00 mm, k = 3.25 m^-1, and ω = 7.22 s^-1. Therefore, the wavelength can be found as λ = 2π/k = 1.93 m. The correct answer is B.

The Vertical Displacement of a String Is Given by Y(x,t)