Two progressive waves y1 (x, t) = A sin (x – wt) and y2(x, t) = A sin (F* – wt – 5) travel in the same direction. Calculate the amplitude and speed of the wave produced as a result of interference of these two waves. Take A = 5 cm, ) = 4 m and w = 31.4 Hz.

Two progressive waves y1 (x, t) = A sin (x – wt) and y2(x, t) = A sin (F* – wt – 5) travel in the same direction. Calculate the amplitude and speed of the wave produced as a result of interference of these two waves. Take A = 5 cm, ) = 4 m and w = 31.4 Hz.

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

Chapter14: Superposition And Standing Waves

Section: Chapter Questions

Problem 11P

See similar textbooks

Related questions

Q: ,5T 9T Consider a wave described by the wave function y (x,t) = 0.50m sin (m-1x + s-1 t +), find the…

Q: The resultant wave function of two waves traveling in the same direction on a string is given by…

Q: For the wave y=10 sin⁡(4t/3) the frequency is 4/3 (True or False)

A: Given: A wave , y=10 sin(4t3)

Q: Two identical sinusoidal waves of amplitude A and frequency 10 Hz travel in the same direction at a…

A: Frequency of both the waves f=10 Hz Speed of each wave v=15 m/s

Q: Two waves travelling in the same direction are given by: y1 = 0.2 %3D sin(3tx-20t+p) and y2 = 0.2…

A: Given-y1=0.2sin(3πx-20t+ϕ)y2=0.2sin(3πx-20t)y=y1+y2=0.2sin(3πx-20t+ϕ)+0.2sin(3πx-20t)=0.2sin(3πx-20t…

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(2rtx-20t+p) and y2 = 0.2…

A: According to the Bartleby guideline, only one question can be solved at one time, post the remaining…

Q: The resultant wave due to the interference of two sinusoidal transverse waves expressed as, y' =…

A: Solution: as given in the problem the resultant wave is y' = 2A cos (ɸ /2) sin (kx - ωt + ɸ/2)…

Q: A pulse is traveling towards the boundary from a more dense medium to a less dense medium. Medium 1…

A: Introduction: The transmitted pulse in the less dense medium travel faster and has larger…

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(1.5Ttx-20t+p) and y2 = 0.2…

A: From the given equation, the wave number of this wave is k=1.5π m-1 Since both the waves result into…

Q: When a wave pulse travets from a light section of a cord to the heavy section, which of the…

A: It is given that a wave pulse travels from a light section to the heavy section of a cord. This can…

Q: Two waves y1 and y2 of frequency f=2 Hz originate from the same point but with a time difference…

A: Let f denotes the frequency of the waves, ω denotes the angular frequency, Δt denotes the time…

Q: The phase difference between two identical sinusoidal waves propagating in the same direction is Tt…

A: Answer:- perfectly constructive The phase difference between two identical sinusoidal waves…

Q: Two sinusoidal waves are moving through a medium in the negative x-direction. Each of the waves has…

A: In the question it is given that the two waves are moving in the same negative x-direction. their…

Q: The wave functions of two sinusoidal waves y1 and y2 travelling to the right are given by: y1 = 0.02…

Q: The amplitude of two sinusoidal waves propagating in the same direction is A = 0.027 m. Due to their…

A: A1 = A2 = A = 0.027 m Ares = 0.054 m = 2A

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(3ttx-20t+p) and y2 = 0.2…

A: Two Waves Travelling In The Same Direction Are Given By: Y1 = 0.2 Sin(1.5tx-20t+(p) And Y2 = 0.2…

Q: The wave functions of two sinusoidal waves y1 and y2 travelling to the right are given by: y1 = 0.02…

Q: A pulse is traveling towards the boundary from a more dense medium to a less dense medium. Medium 1…

A: The partially transmitted wave will be in phase with respect to the incident wave and reflected wave…

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(3Ttx-20t) and y2 0.2…

A: Given:- Two wave travelling in the same direction as y1 = 0.2 sin(3πx-20t) andy2 = 0.2 sin(3πx-20t)…

Q: Two identical traveling waves, moving in the same direction, are out of phase by π/2 rad. What is…

A: According to the principle of superposition of waves, the resultant amplitude of two waves is the…

Q: The wave functions of two sinusoidal waves y1 and y2 travelling to the right are given by: y1 = 0.04…

Q: Two sinusoidal waves of wavelength A = 2/3 m and amplitude A = 6 cm and differing with their phase…

A: Wavelength of both the sinusoidal waves λ=23 m Amplitude of individual waves A=6 cm Wave velocity…

Q: Show that the two waves with wave functions given by E1 = 6.00 sin (100πt) and E2 = 8.00 sin (100πt…

A: The resultant wave function is,

Q: Two waves y1 and y2 each of frequency f=5 Hz, wavelengthX=2 m, amplitude A=0.4 m travel in the…

A: Given data: Frequency of each wave, f=5 Hz Wavelength, λ=2 m Amplitude, A=0.4 m Phase difference,…

Q: Consider two identical interfering waves with wavelength A = 0.4 m travelling in the positive…

A: Phase difference = k∆x = (2π/d)∆x Where d represents wavelength and ∆x represent change in position

Q: A wave pulse is described by a fuction y = f(x) at t = 0. If the wave pulse is traveling in the +x…

A: Given that, the wave function is described by a function y=f(x) at t=0, and it is traveling on the…

Q: If two travelling waves interfere to produce a standing wave described by: y(x,t) =…

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(2TDX-20t+p) and y2 0.2…

A: The expression for the path difference is given as ∆x=λ2π×∆ϕ

Q: The distance between the first and the third nodes of a standing wave is O.1 m, its maximum…

A: Distance between first and third node will give us the wavelength of this wave λ=0.1 m Maximum…

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(3Ttx-20t+p) and y2 = 0.2…

A: Given equation is y1=0.2 sin (3πx-20t+φ_)y2=0.2 sin(3πx-20t)

Q: Two waves travelling in the same direction are described by the wave functions: y1 (x,t) = 0.03…

A: Given wave functions: y1x,t=0.03 sinπx-10πt y2x,t=0.03 sinπx-10πt+π3

Q: A pulse is traveling towards the boundary from a more dense medium to a less dense medium. Medium 1…

A: we know that when a wave is reflected from denser to rarer medium, there is no phase change.

Q: The amplitude of two sinusoidal waves propagating in the same direction is A = 0.027 m. Due to their…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If two travelling waves interfere to produce a standing wave described by: y(x,t) = 0.02…

Q: Two transverse waves y1 = 4 sin(2nt - Ttx) and y2 = 4 sin(2rtt TIx + Tt/2) are moving in the same…

A: Given: Two waves are y1=4 sin2πt-πx, y2=4 sin2πt-πx+π/2. Required: Resultant amplitude of the two…

Q: Two waves travelling in the same direction are given by: y1= 0.2 sin(2rtx-20t+p) and y2 = 0.2…

A: From this wave equation, we can say that the wave number of this wave will be; k=2π m-1

Q: A pulse in a more dense medium is traveling towards the boundary with a less dense medium. Medium 1…

A: Here, a denser (thick) rope is attached to a less dense (thin) rope, when energy is applied on one…

Q: What are the frequencies of the following sinusoidal wave: (a) e = Em sin345t (b) I = Im sin157t (c)…

A: (a) e = Em sin345t (b) I = Im sin157t (c) e = Em sin314t Formula used Frequency f = ω/2π

Q: Two transverse waves y1 = 4 sin(2tt - TTX) and y2 = 4 sin(2t - TtX + Tt/2) are moving in the same…

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin⁡(2πx-20t+φ) and y2 = 0.2…

Q: Two identical sinusoidal waves with wavelengths of 1.5 m travel in the same direction at a speed of…

A: Wave length of the waves λ=1.5 m Speed of the waves v=20 m/s Frequency of the wave f=vλ=20m/s1.5 m…

Q: The resultant intensity due to the constructive interference of two waves is 196 W/m2 . Evaluate the…

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(2rx-20t+p) and y2 0.2…

A: The interference of two waves occurs when they pass through each other. It is of two types -…

Q: A pulse is traveling towards the boundary from a more dense medium to a less dense medium. Medium 1…

A: A wave is travelling from more dense to a less dense medium.

Q: A pulse in a less dense medium is traveling towards the boundary with a more dense medium. Mediun 1…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Two sinusoidal waves of wavelength A = 2/3 m and amplitude A = 6 cm and differing with their phase…

A: NOTE: As per guidelines, I can solve first question only. If you need help with other question, then…

Q: Two waves travelling in the same direction are given by: y1 = 0.2 sin(2mx-20t+p) and y2 = 0.2…

A: Standing waves are formed by the superposition of two travelling waves of the same frequency (with…

Q: Two sinusoidal waves of wavelength A = 2/3 m and amplitude A = 6 cm and differing with their phase…

A: Wavelength of each sinusoidal wave λ=23 m Amplitude of each wave A=6 cm Speed of both the waves v=60…

Q: A pulse is traveling towards the boundary from a more dense medium to a less dense mediur Medium 1…

Q: Two waves of amplitude 0.3 m and 0.5 m interfere constructively. The resultant intensity is O a.0.49…

A: Given that Amplitude of 1st wave = 0.3 m Amplitude of 2nd wave = 0.5 m And they interfere…

Concept explainers

Electromagnetic Waves

Electromagnetic waves are waves that consist of magnetic field and electric field components perpendicular to each other. These field components are also perpendicular to the direction of propagation of the wave.

Question

Two progressive waves y1 (x, t) = A sin (x – wt) and y2(x, t) = A sin (x – wt - ) travel
in the same direction. Calculate the amplitude and speed of the wave produced as a result
of interference of these two waves. Take A = 5 cm, A= 4 m and w = 31.4 Hz.
%3D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

What is the necessary condition on the path length difference between two waves that interfere (a) constructively and (b) destructively?
(a) What is the speed of sound in a medium where a 100kHz frequency produces a 5.96cm wavelength? (b) Which substance in Table 17.1 is this likely to be?
When two waves interfere constructively or destructively, is there any gain or loss in energy in the system of the waves? Explain.
Two progressive waves y1(x, t) = A sin (2 – wt) and y2(x, t) = A sin (2x – wt – 5) travel in the same direction. Calculate the amplitude and speed of the wave produced as a result of interference of these two waves. Take A = 5 cm, ) = 4 m and w = - 31.4 Hz. %3D
Two progressive waves yı = A sin( 4 x wt) and y2 = A sin( 2"x – ot – 5 ) travel in the same direction. X. X - Calculate the amplitude Afot of the wave y = y1 + y2 produced as a result of interference of these two waves. Take A = 7.1 cm, å = 4 m and w = :10z Hz. Give your answer in centimetres (cm).
Two waves of amplitude 0.3 m and 0.5 m interfere constructively. The resultant intensity is O a.0.49 Wisq.m O b.0.64 Wisq.m O G.0.0225 Wisq.m O d.2.78 Wisq.m
S A person stands 13.00 m from a speaker, and 8.00 m from an identical speaker. What is the wavelength of the first (n=1) interference maximum (constructive)? (Speed of sound = 343 m/s) (Unit = m) demy of Science. All Rights Reserved. =h H K hulu 20 Enter New ✔
A transverse wave is moving at 4.0 ms in positive n-direction as shown in #igure. The locati on x Ccm) and dispiacement of medium y ccm) at time,t : ois shown.The amplitude is 5 cm, wavelength is 2o cm . Determine the frequency of the wove. + 60 Oc 30 40 50 -5
b) Two progressive waves y:(x,t) =Asin(2rAXwt) and y2(xt) =Asin(2raX-wt-n2) travel in the same direction. Calculate the amplitude and speed of the wave produced as a result of interference of these two waves. Take the values as a=5cm, A=4m and w=31.4Hz.
Two identical point sources are 4.5 cm apart, in phase and vibrating at a frequencyof 10 Hz. They produce an interference pattern. At the point of the first nodal line 4.5 cmfrom one source and 5.0 cm from the other.a) Determine the wavelength. b) Determine the speed of the waves.
Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and speed, interfere with each other to give the resultant wave: y res (x,t) = 8 cm sin(4Ttx-60rtt+Tt/3). The amplitude of the individual waves %3D generating this wave is:
Q) Two plane monochromatic waves propagating in the same direction with amplitudes A and 2 A and differing in phase by π/3 rad superpose. Calculate the amplitude of the resultant wave.