In a sinusoidal traveling wave,the distance between two points that differ in phase by 2$\pi$ radians is the
A)frequency.
B)period.
C)amplitude.
D)phase constant.
E)wavelength.

Question

Quizplus · Accepted Answer

The phase difference between two points is given by the formula:
Δφ = 2πΔx/λ
where Δx is the distance between the two points and λ is the wavelength.
Given that the phase difference is 2π, we can write:
2π = 2πΔx/λ
Simplifying, we get:
Δx = λ/2
Therefore, the distance between two points that differ in phase by 2π radians (i.e., one complete cycle) is half the wavelength. Hence, the correct choice is E, wavelength.

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