Two waves of equal amplitude A𝐴, and equal frequency travel in the same direction in a medium. The amplitude of the resultant wave is
Question
Two waves of equal amplitude A𝐴, and equal frequency travel in the same direction in a medium. The amplitude of the resultant wave is
Solution
The amplitude of the resultant wave, when two waves of equal amplitude A and equal frequency travel in the same direction in a medium, is 2A.
Here's the step by step explanation:
-
When two waves of equal amplitude and frequency travel in the same direction, they undergo constructive interference.
-
Constructive interference occurs when the crest of one wave aligns with the crest of another wave, resulting in an increase in amplitude.
-
In this case, since the amplitudes of the two waves are equal (A), the amplitude of the resultant wave will be the sum of the two amplitudes.
-
Therefore, the amplitude of the resultant wave is A + A = 2A.
Similar Questions
Two sinusoidal waves 𝑦1 (𝑥, 𝑡) and 𝑦1(𝑥, 𝑡) have the same wavelength and travel together in the samedirection along a string (say in x-direction). Their amplitudes are 𝑦10 = 4 𝑚𝑚 and 𝑦20 = 3 𝑚𝑚, and theirphase constants are 0 and 𝜋3 respectively. Find the amplitude and phase constant of the resultant wave andexpress the resultant in the standard wave format
Two waves represented by ; and .are superposed. The resultant wave has an amplitude equal to :-zero2aa
The image below represents two waves, X and Y, traveling through the same medium at the same speed. How are the two waves different? A. Wave Y has a greater wavelength than wave X. B. Wave Y has a greater frequency than wave X. C. Wave Y has a greater period than wave X. D. Wave Y has greater energy than wave X.
two waves of same frequency and intensity superimpose on each other in opposite phases after the super position. the intensity and frequency will be
Two identical waves, each with amplitude X0 and intensity I, interfere constructively. What arethe amplitude and intensity of the resultant wave?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.