Two progressive wavesyı (x, t) = A sin(4x – ot) and= A sin(x – ot – 5)У1 (х,= A sin( 27X.ITy2(x, t)A sin( 2ª x - wt-travel in the same direction.Calculate the speed of the waveproduced as a result of interferenceof these two waves. Take A =5 cm,1 = 4 m and w = 31.4 Hz. Provideyour answer in SI units.Answer:Choose... +

Given, Wave equations, y1x,t=Asin2πλx-ωt y2x,t=Asin2πλx-ωt-π2 Amplitude, A=5 cm=0.05 m. Wavelength…

Answered: Two progressive waves 2л Vı(x, t) = A…

Two progressive waves 2л Vı(x, t) = A sin(4x – ot) and y2(x, t) = A sin( 4x – ot – X – wt - - 2 travel in the same direction.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section: Chapter Questions

Problem 8OQ

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Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

Two progressive waves
yı (x, t) = A sin(4x – ot) and
= A sin(x – ot – 5)
У1 (х,
= A sin( 27
X.
IT
y2(x, t)
A sin( 2ª x - wt
-
travel in the same direction.
Calculate the speed of the wave
produced as a result of interference
of these two waves. Take A =
5 cm,
1 = 4 m and w = 31.4 Hz. Provide
your answer in SI units.
Answer:
Choose... +

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