A progressive wave travelling along the positive x-direction is represented by y(x, t) = A sin (kx - ω t + φ). Its snapshot at t = 0 is given in the figure: For this wave , the phase φ is :

Question

A progressive wave travelling along the positive x-direction is represented by y(x, t) = A sin (kx - ω t + φ). Its snapshot at t = 0 is given in the figure: For this wave , the phase φ is : (A) 0 (B)  - (π/2)  (C) π  (D) (π/2)

Tardigrade Admin · Accepted Answer

y=A sin (k x-w t+φ) at x =0, t =0, y =0 and slope is negative ⇒ φ=π

Q. A progressive wave travelling along the positive x-direction is represented by $y (x, t)$ = $A sin (k x - ω t + ϕ)$ . Its snapshot at t = 0 is given in the figure:
For this wave , the phase $ϕ$ is :

$0$

$- \frac{π}{2}$

$π$

$\frac{π}{2}$

$y = A sin (k x - wt + ϕ)$
at $x = 0, t = 0, y = 0$ and slope is negative
$\Rightarrow ϕ = π$

Q. A progressive wave travelling along the positive x-direction is represented by y(x,t) = Asin(kx−ωt+ϕ). Its snapshot at t = 0 is given in the figure: For this wave , the phase ϕ is :

0

−2π​

π

2π​

y=Asin(kx−wt+ϕ) at x=0,t=0,y=0 and slope is negative ⇒ϕ=π

Q. A progressive wave travelling along the positive x-direction is represented by $y (x, t)$ = $A sin (k x - ω t + ϕ)$ . Its snapshot at t = 0 is given in the figure:
For this wave , the phase $ϕ$ is :

$0$

$- \frac{π}{2}$

$π$

$\frac{π}{2}$

$y = A sin (k x - wt + ϕ)$
at $x = 0, t = 0, y = 0$ and slope is negative
$\Rightarrow ϕ = π$