Which of the following equations represents a travelling wave ?

Question

Which of the following equations represents a travelling wave ? (A) y=A sin (15 x-2 t) (B) y=Ae-x2(v t+θ) (C) y=Aex cos (ω t-θ) (D) y=A sin x cos ω t

Tardigrade Admin · Accepted Answer

y=F(x, t) For travelling wave y should be linear function of x and t and they must exist as (x ± v t) y=A sin (15 x-2 t) arrow linear function in x and t

Q. Which of the following equations represents a travelling wave ?

$y = A sin (15 x - 2 t)$

$y = A e^{- x^{2}} (v t + θ)$

$y = A e^{x} cos (ω t - θ)$

$y = A sin x cos ω t$

$y = F (x, t)$ For travelling wave y should be linear function of $x$ and $t$ and they must exist as $(x \pm v t)$
$y = A sin (15 x - 2 t) \to$ linear function in $x$ and $t$

Q. Which of the following equations represents a travelling wave ?

y=Asin(15x−2t)

y=Ae−x2(vt+θ)

y=Aexcos(ωt−θ)

y=Asinxcosωt

y=F(x,t) For travelling wave y should be linear function of x and t and they must exist as (x±vt) y=Asin(15x−2t)→ linear function in x and t

$y = A sin (15 x - 2 t)$

$y = A e^{- x^{2}} (v t + θ)$

$y = A e^{x} cos (ω t - θ)$

$y = A sin x cos ω t$

$y = F (x, t)$ For travelling wave y should be linear function of $x$ and $t$ and they must exist as $(x \pm v t)$
$y = A sin (15 x - 2 t) \to$ linear function in $x$ and $t$