Question

(x) (m) Consider the wave shown in the figure. tes 60 40 20 0 -20 -40 -60 100 300 500 a) Calculate the velocity of this wave. b) Find the wavelength of this wave. ym) c) Find the frequency and period of this wave. d) Write an expression for this wave. tt = 3ss 60 40 20 0 -20 -40 -60 1 100 300 500 -ỳ ()

Answer 1

(a)   $v = \lambda f$

$\lambda$ = 400 m

f = 1/T = 1/4 Hz = 0.25 Hz

v = 400 x 0.25 m/s = 100 m/s

v = 100 m/s

(b)

$\lambda$ = 400 m

(c)

f = 0.25 Hz

T = 4 s

(d)

$\psi(y,t) = 60 \; sin(\frac{2\pi}{400}y - \frac{2\pi}{4}t) = 60\; sin(\frac{\pi}{200}y - \frac{\pi}{2}t)$

$\bf{\psi(y,t) = 60 \; sin(\frac{\pi}{200}y - \frac{\pi}{2}t) }$