The distance between two consecutive points with phase difference of 60° in a wave of frequency 500 Hz is 6.0 m. The velocity with which wave is traveling is km / s

Question

The distance between two consecutive points with phase difference of 60° in a wave of frequency 500 Hz is 6.0 m. The velocity with which wave is traveling is km / s (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Δ φ=(2 π/λ) Δ x (π/3)=(2 π/λ)(6 m ) ⇒ λ=36 m V = f λ=(500 Hz )(36 m ) =18000 m / s =18 km / s

Q. The distance between two consecutive points with phase difference of $6 0^{\circ}$ in a wave of frequency $500 Hz$ is $6.0 m$ . The velocity with which wave is traveling is ___ $km / s$

$Δ ϕ = \frac{2 π}{λ} Δ x$
$\frac{π}{3} = \frac{2 π}{λ} (6 m)$
$\Rightarrow λ = 36 m$
$V = f λ = (500 Hz) (36 m)$
$= 18000 m / s = 18 km / s$

Q. The distance between two consecutive points with phase difference of 60∘ in a wave of frequency 500Hz is 6.0m. The velocity with which wave is traveling is ___km/s

Δϕ=λ2π​Δx 3π​=λ2π​(6m) ⇒λ=36m V=fλ=(500Hz)(36m) =18000m/s=18km/s

Q. The distance between two consecutive points with phase difference of $6 0^{\circ}$ in a wave of frequency $500 Hz$ is $6.0 m$ . The velocity with which wave is traveling is ___ $km / s$

$Δ ϕ = \frac{2 π}{λ} Δ x$
$\frac{π}{3} = \frac{2 π}{λ} (6 m)$
$\Rightarrow λ = 36 m$
$V = f λ = (500 Hz) (36 m)$
$= 18000 m / s = 18 km / s$