What is the phase difference between two points on a wave that are 1/4 of a wave
Practice Questions
Q1
What is the phase difference between two points on a wave that are 1/4 of a wavelength apart? (2021)
0 rad
π/2 rad
π rad
3π/2 rad
Questions & Step-by-Step Solutions
What is the phase difference between two points on a wave that are 1/4 of a wavelength apart? (2021)
Step 1: Understand that a wave has a wavelength (λ), which is the distance between two consecutive points that are in phase.
Step 2: Recognize that the phase difference (Δφ) between two points on a wave can be calculated using the formula Δφ = (2π/λ) * Δx, where Δx is the distance between the two points.
Step 3: Identify that in this question, the two points are 1/4 of a wavelength apart, so Δx = λ/4.
Step 4: Substitute Δx into the formula: Δφ = (2π/λ) * (λ/4).