Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and speed, interfere with cach other to give the resultant wave: y res (x,t) = 8 cm sin(4Ttx-60rt-r/3). The amplitude of the individual waves generating this wave is: %3D 4 cm O 2/3 cm 2 cm 8 cm 4/3 cm.

Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and speed, interfere with cach other to give the resultant wave: y res (x,t) = 8 cm sin(4Ttx-60rt-r/3). The amplitude of the individual waves generating this wave is: %3D 4 cm O 2/3 cm 2 cm 8 cm 4/3 cm.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: The distance between the first and the third nodes of a standing wave is 0.2 m, its maximum…

A: Distance between first and third nodes of a standing wave will be equal to its wavelength λ=0.2 m…

Q: The wave function resulting from the interference of two identical waves travelling in the same…

A: Given data A1=8 cmA2=8 cmθ=45° Here, A represents the amplitude of the waves and θ is the angle. Now…

Q: A standing wave on a stretched string with a tension force F_T and of length L = 2 m has the…

A: Given: The length of string is 2 m The equation is given as, yx,t=0.1sin(2πx)cos(100πt) The…

Q: The distance between the first and the third nodes of a standing wave is 0.1 m, its maximum…

A: Given, Distance between first and third node is d = 0.1 m Maximum displacement D = 0.04 Frequency…

Q: A transverse traveling wave on a string is given by: y(x,t) = (2 cm). sin((100 s-1)t - (12 m-1)x)…

A: Wave equation:y(x,t) = (2 cm). sin((100 s-1)t - (12 m-1)x)Compare with standard equation of wave, ω…

Q: A sinusoidal wave is given by: y= 7 sin (2x - 6t) cm determine the transverse velocity vy of a point…

Q: The equation of a standing wave is y(x,t) = 0.8 cos(0.1tx) sin(200tt) %3D where x and y are in cm…

A: The expression for the general form of the standing wave is given as y=2acoskxsinωt On comparing…

Q: A musical note on a piano has a frequency of 45 Hz. If the tension in the 2-m string is 308 N, and…

Q: Is the function y=Ae^j(wt+kx) a wave? Please use the wave equation to prove.

Q: Two identical sinusoidal waves with frequency of 20 Hz travel in the same direction at the same…

A: Answer: The best option is ∆t = 1/120 sec. Explanation: The displacement equations of the two…

Q: Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and…

A: Given: Two sinusoidal waves traveling in the same direction with the same amplitude, wavelength, and…

Q: Two sinusoidal waves travel in the same direction with the same amplitude, wavelength, and speed.…

Q: A standing wave has the following wave-function: yoct)-0.2 sin(rud cos(12nt where x and y are in…

A: Given, yx,t=0.2sinπxcos12πt

Q: The superposition of two travelling waves y1 and y2 results in a wave described by: y=A…

A: solution is given as

Q: Two progressive waves 2л Vı(x, t) = A sin(4x – ot) and y2(x, t) = A sin( 4x – ot – X – wt - - 2…

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

Q: A sinusoidal wave is given by: y= 7 sin (8x - 3t) cm determine the transverse velocity vy of a point…

Q: The equation of a standing wave is y(x,t) = %3D 0.8 cos(0.05Ttx) sin(200tt) where x and y are in cm…

A: Nodes are points in a standing wave that have zero amplitude, or oscillate with zero vertical…

Q: Two transverse sinusoidal waves combining in a string are described by the wave functions y1 = 0.02…

A: Given Y1 = 0.02sin(4πx+πt) Y2 = 0.02sin(4πx-πt)

Q: The equation of a transverse traveling wave on a string is given by y =0.0025 sin [300π t +5πx],m…

A: y =0.0025 sin [300π t +5πx]

Q: A standing wave is represented by y, = A Sin 100t cos. 01x, where y and A are in mm, t is in m. the…

Q: The equation of a transverse wave along a stretched string is y = 3 sin 2n (0.04 10) in CGS system.…

A: Given data-Wave equation-y=3sin 2πt0.04-x40 in CGS system.

Q: Two transverse sinusoidal waves combining in a string are described by the wave functions y1 = 0.02…

A: Both the superposing waves are opposing each other Hence, the resultant wave due to the…

Q: The distance between the first and the third nodes of a standing wave is 0.1 m, its maximum…

A: Given: The distance between first and third node is d=0.1 m. The maximum displacement of particle…

Q: If a negative sign appears in front of the wt term with no negative sign in front of kx in the…

A: Negative sign appears in front of ωt. No negative sign in front of kx. Direction of propagation of…

Q: The distance between the first and the third nodes of a standing wave is 0.1 m, its maximum…

A: Maximum displacement = Amplitude =0.04m frequency f=160Hz

Q: The equation of a standing wave is y(x,t) = 0.8 cos(0.1rox) sin(200rt) where x and %3D y are in cm…

A: Given: The equation of standing wave is yx,t=0.8cos0.1πxsin200πt.

Q: The distance between the first and the third nodes of a standing wave is 0.2 m, its maximum…

A: Given: standing wave=0.2 m Maximum displacement =0.02 m frequency=40 Hz

Q: If the equation of the transverse wave is, y = 5 sin 2n where distance is in cm and time in second,…

A: We have to compute here-Wavelength of a wave (λ)=?Given that-Eqaution of wave is given as-Y=5 sin…

Q: Two sinusoidal waves traveling in the same direction interfere to produce a resultant wave with the…

A: given y=0.04sin(0.4x-200t+π4)the given y is of the form y=2Acosϕ2sinkx-ωt+ϕwhere A is amplitude and…

Q: The equation for a sinusoidal wave is given by D(x, t) = (0.50 cm )sin (2.0x- 20.0 t+ 0.78) where…

A: Given: D(x,t)=…

Q: A certain transverse wave is described by the equation y(x, t) = (7.50 mm )sin 2T 0.0360s I 0.280 m…

A: As per guidelines I am allowed to answer only three sub parts. For remaining questions please post…

Q: y(x,t) = 0.06 sin(47x)cos(10rt) Here x and y are in m. a) What is the length of the string if this…

A: Given

Q: The equation of a transverse wave on a string is y = (2.0mm) sin(20m-1x − 600s-1t) Tension in the…

A: The equation of the transverse wave on a string is y=2.0 mmsin20 m-1x-600s-1t The general equation…

Q: The distance between the first and the third nodes of a standing wave is 0.1 m, its maximum…

A: using the standard form of the standing wave: y =yosin(kx±2πft)here yo is the maximum amplitude of…

Q: If the equation óf thë transve ve is, where distance is in cm y = 5 sin 2n %3D 0.04 40 and time in…

A: To find-Wavelength of a wave (λ)=?Given data-Equation of wave is,Y=5 sin 2πt0.04-x40

Q: A standing wave, consisting of two pure tone waves both having a frequency of 1 kHz and moving in…

A: Solution: Since the two waves are of equal frequency and opposite directions, they interfere with…

Q: The y (x, t) = A sin(kx + wt) The wavelength of the wave is: displacement of a string is given by:…

Q: Given that a wave equation is represented by y=sin(kx-wt), where w=180rad/s, y is in cm and…

Q: The wave functions for two waves traveling on a string are described by: y1(x,t) = A sin (3Tx-40nt)…

A: Given: The two wavefunctions are y1x,t=Asin3πx-40πt and y2x,t=Asin3πt+40πt. Introduction: The wave…

Q: The equation of a standing wave is y(x,t) = 0.8 cos(0.05nx) sin(200nt) where x and y are in cm and t…

A: We are allowed to answer only the first question. For solutions to other questions, please re-post…

Q: Q(1) Find the resultant for the superposition of the following two harmonic waves: yı(x.t)= A Sin…

A: Given the two sine waves, y1(x,t)=Asin(kx-ωt) y2(x,t)=Asin(kx+ωt) (1) The resultant…

Q: A standing wave with wavelength = 1.2 m and frequency f = 80 Hz is %3D generated on a stretched…

A: Wavelength of the standing wave λ=1.2 m Frequency of the standing wave f=80 Hz Displacement of wave…

Q: The equation of a standing wave is y(x,t) = 0.8 cos(0.05TUx) sin(200Ttt) where x %3D and y are in cm…

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…

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 sinusoidal waves travelling in the same direction with the same amplitude,
wavelength, and speed, interfere with cach other to give the resultant wave:
y res (x,t) = 8 cm sin(4rtx-60rt+rt/3). The amplitude of the individual waves
generating this wave is:
4 cm
2/3 cm
O2 cm
8 cm
4/ 3 cm.

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

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

b) A travelling wave is represented by y = 10 sin (4nt +6 x) where x and y are in m and t in seconds. Determine the: i) frequency, ii) wavelength, iii) velo city, and iv) max acceleration.
O O Question 25 "The mathematical forms for the three sinusoidal traveling waves are given by wave 1: y(x,t) = (2 cm) sin (3x – 6t), wave 2: y(x,t) = (3 cm) sin (4x – 12t), wave 3: y(x,t) = (4 cm) sin (5x – 11t), where x is in meters and t is in seconds. Of these waves:" wave 3 has the greatest wave speed and wave 2 has the greatest maximum transverse string speed wave 2 has the greatest wave speed and wave 3 has the greatest maximum transverse string speed wave 2 has the greatest wave speed and wave 1 has the greatest maximum transverse string speed wave 1 has the greatest wave speed and the greatest maximum transverse string speed wave 3 has the greatest wave speed and the greatest maximum transverse string speed A Click Submit to complete this assessment. Take T
The equation of a progressive longitudinal wave in air is, Y = 1.0 × 10³ sin 880 %3D Tt- 330 where all the quantities are in S.I. units. Find the (a) frequency, (b) wavelength and (c) velocity of the wave.
O 45 J O 22.5 J A traveling wave on a taut string with a tension force T, is given by the wave function: y(x,t) = 0.05sin(Ttx-10Ttt), where x and y are in meters andtis in seconds. If the linear rhass density of the string is given by u = 0.01 kg/m, then the tension force on the string is, O 10 N O IN 100 N 0.5 N 25 N Page 2 of 2 Back Submit
A certain transverse wave is described by t У(х, t) — (6.50тт) сos 2T 28.0cm 0.036s Determine the wave's amplitude; wavelength; frequency; speed of propagation; direction of propagation.
ll ull A standing wave on a stretched string with a tension force FT and of length L = 2 m has the following %3D equation: y(x,t) = 0.1 sin(2rtx) cos(100rtt). How many loops would appear on the string if the velocity is reduced by a factor of 2 while the frequency is held constant? O 12 loops 8 loops O 2 loops 6 loops 4 loops
40 cm/s is in question not 40 m/s..its printing mistake... please solve using 40 cm/s.
7NhZOB1Vch8kDAEmTnMzzo7IllzhvDIR2UQ/formResponse generating this wave is: 4 cm 8 cm 4/N3 cm 2/V3 cm 2 cm Two waves travelling in the same direction are given by: y1 = 0.2 sin(2Tx-20t+p) and y2 = 0.2 sin(2rtx-20t), where x and y are in meters andt is in seconds. If the two waves start at the same moment, then the path difference, Ax, corresponding to a fully destructive interference is: O4/3 m 1/3 m 3/4 m O 2/3 m. beidistance between the firstand the thirdinodes of a standing weve is O.1m. s maximum(spacementisC4m ana Its freeuency is l60 H2 Thewave functions off the Mhchintertere topive thestanding wave
A wave is described by the given wave function, 81 1+ 7. 6 TT y(x,()%3D0.65m sin 3 Calculate the following: 1) The velocity of the wave in meters per second = 2) The time period of the wave in seconds 3) The wavelength of the wave in meters = 4) The frequency of the wave in hertz =
Pls solve this question correctly instantly in 5 min i will give u 3 like for sure
A progressive wave travelling in the x-direction is represented by the following equation: у %3D A sin(Bt — Сх). Given that parameters A, B and C are given in SI units calculate the velocity of the wave for A = 50, B = 2835 and C = 25.
Two waves travelling in the same medium are described by:y1=0.2 sin(2TTX+5t); y2=0.2 sin(2Ttx-5Ttt) The standing wave resulting from the superposition of these waves is described by: O y=0.2 sin(2nx)cos(5nt) Ο -0.4 sin(2πx)cos(5πt) Ο y-0.4sin(5πx) cos(2πι) y=0.2sin(5Ttx)cos(2nt) None