Given the progressive wave equation y = 5 sin (2000 πt - 0.4x), calculate wave length
Question 1 Report
Given the progressive wave equation y = 5 sin (2000 πt - 0.4x), calculate wave length
Answer Details
In the equation y = 5 sin (2000 πt - 0.4x), the term inside the sine function (2000 πt - 0.4x) represents the phase of the wave, which should be constant for a given wave. The wavelength (λ) is the distance between two consecutive points in the wave that are in phase with each other.
To find the wavelength, we need to isolate the term that represents the distance between two consecutive points in phase. In this case, that term is -0.4x, which is the coefficient of the x variable. We know that the wavelength is given by the formula λ = 2π/k, where k is the wave number, which is equal to the coefficient of the x variable.
So, we have k = -0.4. Plugging this value into the formula for wavelength gives λ = 2π/-0.4 ≈ 15.7 meters.
Therefore, the wavelength of the wave is 15.7 meters.
Download The App On Google Playstore
Everything you need to excel in your exams
Personalized AI Learning Chat Assistant
200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO
Over 3,900 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning