Two sinusoidal waves with the same amplitude and wavelength travel through each

Question

Two sinusoidal waves with the same amplitude and wavelength travel through each other along a string that is stretched along an x axis. Their resultant wave is shown twice in the figure, as the antinode A travels from an extreme upward displacement to an extreme downward displacement in 5.81 ms. The tick marks along the axis are separated by 9.00 cm; height H is 1.72 cm. Let the equations for one of the two waves be of the form y(x, t) = y_m sin (kx + omegat). In the equation for the other wave, what are (a) y_m, (b) k, (c) m, and (d) the sign in front of omega?

Explanation / Answer

(a)

According to wave equation

Amplitude = Ym = H/2 = 1.72/2 = 0.86 cm

And

As we know that

According to figure

lambda = distance between two upward extreme = 9*2*10^-2 = 0.18 m

So,

k = 2*pi/lambda = 34.90658504

(c)

we also know that

omega = 2 * pi * c / lambda = 1.04719551 * 10^10 rad /sec

(d)

Since wave is travelling in +ve x direction so Sign in front of omega = -ve

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.