b) Two progressive waves y:(xt) =Asin(2nX-wt) and y2(xt) =Asin(2rX-wt-r2) 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.

b) Two progressive waves y:(xt) =Asin(2nX-wt) and y2(xt) =Asin(2rX-wt-r2) 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.

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

A: Given, y1=0.2sin(2πx-20t+φ) y2=0.2sin(2πx-20t) So, from the given equation k=2π ω=20

Q: 15.32 · Interference of Triangular Pulses. Two triangular wave pulses are traveling toward each…

A: We have to apply superposition principle here

Q: 2. This is the output signal of a pressure monitor mounted at a point along the path taken by a…

A: Given data: The speed of sound wave is v=343 m/s. Density of air is ρ=1.21 kg/m3. The scale of…

Q: Two progressive waves y1 (x, t) = A sin (x – wt) and y2(x, t) = A sin (F* – wt – 5) travel in the…

Q: 6. A travelling wave is represented by the function: y(x, t) = 0. 009 m sin (1. 2 m-1x – 5.0s-1t)…

A: As per our guidelines we are supposed to answer only three parts of question, kindly repost this…

Q: Two progressive waves ?1=?sin(2???−??)y1=Asin⁡(2πλx−ωt) and ?2=?sin(2???−??−?2)y2=Asin⁡(2πλx−ωt−π2)…

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

A: In the given question, two sinusoidal waves travel in the same direction with same amplitude,…

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: A 4.9-HzHz wave with an amplitude of 15 cmcm and a wavelength of 28 cmcm travels along a stretched…

A: Given: f = 4.9 HzA =15cm = 0.15 mλ =28 cm =0.28 mt=0.50 s

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: Two progressive waves y = A sin( 4x – ot) and y2 = A sin(4 x – ot – 5 ) travel in the same…

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

A: yres = 8 cm sin4πx - 60πt + π3 Let the individual waves be y1 & y2. Their amplitude,…

Q: The equation of certain traveling waves is y(x,t) = 0.0450 sin(25.12x - 37.68t - 0.523) where x and…

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

Q: t = 0 A standing wave on a string is described by the wave function y(x,t) = (6 mm)…

Q: 3. A travelling wave is represented by the function: y(x,t)-0.009 m sin (1.2 m^(-1) x-5.0s^(-1) t)…

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 progressive waves yj = A sin(4x – ot) and y2 = A sin(4x – ot – 5) travel in the same direction.…

Q: Two progressive waves y¡ = A sin(4x – ot) and y2 = A sin( 4 x – ot – 5) travel in the same…

A: on interference the resultant wave is gven by,y=y1+y2y=A sin(2πλx-ωt) + A sin(2πλx-ωt-π2)so,y= 2 A…

Q: Two waves on a string are given by the following functions: y1(x, t) = 4 cos(20t − 30x) (cm)…

Q: Two progressive waves y1(x, t) = A sin ( – wt) and Y2(x, t) = A sin (x - wt - ) travel in the same…

A: Given data: Two progressive waves are, y1x,t=Asin2πλx-ωt y2x,t=Asin2πλx-ωt-π2 The amplitude of the…

Q: 15-MCQS Two interfering waves y1 (x,t) = 0.05 sin(kx - wt) and y2 (x,t) = 0.05 sin(kx - wt + p)…

A: If two waves of equal wavelengths are in phase, they form either a new wave with an increased…

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: A standing wave on a string is described by the wave function y(x,t) = (6 mm) sin(4ttx)Cos(30t). The…

Q: Two progressive waves yi A sin (x – ot) and y2 A sin(x - x – wt – ) travel in the same direction.…

Q: Two sound waves with an amplitude of 12 nm and a wavelength of 35 cm travel in the same direction…

Q: 1. The wave function that describes a certain transverse wave at initial time t=0 is yoc,…

A: Since you have asked multiple sub-parts, only the first three subparts are solved for you. If you…

Q: In the wave equation, y =C, sin(C,*t- C3*x+C¾), if x and y are distances, t is time, then, the…

A: The wave equation is given as, Here, x denotes the distance and t denotes the time.

Q: (Question 19 – 21) Consider two waves meet in space, y = 2 cos(0.05xx – 200at), and y2 = 2 cos…

A: Introduction: When two waves arrive at a point simultaneously produces a resultant wave with maximum…

Q: The wave function that models a standing wave is given as yR (x, t) = 6.00 cm sin (3.00 m−1 x + 1.20…

A: Given: The wave function that models a standing wave is given as yR (x, t) = 6.00 cm sin (3.00 m−1 x…

Q: Two waves travelling in the same medium are described by:y1=0.2 sin(2ttx+5tt); y2=0.2 sin(2Ttx-5tt)…

A: The two are y1=0.2sin2πx+5πty2=0.2sin2πx-5πt From the above, it is clear that the above two waves…

Q: When two waves come toward one another, they will interfere. Under which circumstances will the…

Q: Given : y1=A sin (kx-wt+π/2) cm y2=A sin (kx-wt+π) cm Determine Y and draw the wave

Q: 101. Consider two wave functions that differ only by a phase shift, У (х, t) — А сos(kx — ot) and y2…

A: The given wave functions are: From the principle of the superposition of waves, when two or more…

Q: A progressive wave travelling in the x-direction is represented by the following equation: y =…

Q: Two waves travel simultaneously through the same medium. The first wave is described by:…

A: Given data: First wave: Y1x,t=3.00 cmcoskx-ωt Second wave: Y2x,t=3.00 cmsinkx-ωt

Q: Interference of Triangular Pulses. Two triangular wave pulses are traveling toward each other on a…

A: Since you have posted 5 different times, we will draw for first three times only as per the Q&A…

Q: and y_2 Two waves traveling in the same direction are described by the wave functions: y_1…

Q: Which of the following are false for E&M waves? I. E&M waves does not require a medium to travel II.…

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

A: Given: Wavelength of two identical interfering waves, λ=0.4 m Phase difference between the waves,…

Q: Two progressive waves y1=Asin(2πλx−ωt)y1=Asin⁡(2πλx−ωt) and y2=Asin(2πλx−ωt−π2)y2=Asin⁡(2πλx−ωt−π2)…

Q: Two waves on a string are given by y₁(x, t) = 0 cos(20t + 20x) in cm, y2(x, t) = 0 cos(20t - 20x) in…

A: Solution:-

Q: Two progressive waves y¡ (x, t) = A sin(2x – ot) and y2(x, t) = A sin(x – ot – 5) travel in the same…

A: When two sinusoidal waves that are identical in amplitude (A), wavenumber (K), and angular frequency…

Q: The equation of certain traveling waves is y(x,t) = 0.0450 sin(25.12x - 37.68t - 0.523) where x and…

Q: A wave propagation is represented by y = 4 sin (20zt – "x) where x is in cm and t is in s. Calculate…

Q: Two waves traveling together along the same line are represented by y1 = resultant amplitude, (b)…

Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

Question

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.

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 3

VIEW

Step by step

Solved in 3 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

Two sources as in phase and emit waves with =0.42 m. Determine whether constructive or destructive interference occurs at points whose distances from the two sources are (a) 0.84 and 0.42 m, (b) 0.21 and 0.42 m, (c) 1.26 and 0.42 m, (d) 1.87 and 1.45 m, (e) 0.63 and 0.84 m and (f) 1.47 and 1.26 m.
Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string producing a standing wave. The linear mass density of the string is =0.075 kg/m and the tension in the string is FT=5.00 N. The time interval between instances of total destructive interference is t=0.13 s. What is the wavelength of the waves?
During a 4th of July celebration, an M80 firework explodes on the ground, producing a bright flash and a loud bang. The air temperature of the night air is TF=90.00F . Two observers see the flash and hear the bang. The first observer notes the time between the flash and the bang as 1.00 second. The second observer notes the difference as 3.00 seconds. The line of sight between the two observers meet at a right angle as shown below. What is the distance x between the two observers?
A string of a constant linear mass density is held taut by two students, each holding one end. The tension in the string is constant. The students each send waves down the string by wiggling the string. (a) Is it possible for the waves to have different wave speeds? (b) Is it possible for the waves to have different frequencies? (c) Is it possible for the waves to have different wavelengths?
Two strings are attached between two poles separated by a distance of 2.00 meters as shown in the preceding figure, both strings have a linear density of 1=0.0025 kg/m, the tension in string 1 is 600.00 N and the tension in string 2 is 700.00 N. Transverse wave pulses are generated simultaneously at opposite ends of the strings. How much time passes before the pulses pass one another?
A sunbather stands waist deep in the ocean and observes that six crests of periodic surface waves pass each minute. The crests are 16.00 meters apart. What is the wavelength, frequency, period, and speed of the waves?
Sound is more effectively transmitted into a stethoscope by direct contact rather than through the air, and it is further intensified by being concentrated on the smaller area of the eardrum. It is reasonable to assume that sound is transmitted into a stethoscope 100 times as effectively compared with transmission though the air. What, then, is the gain in decibels produced by a stethoscope that has a sound gathering area of 15.0 cm2, and concentrates the sound onto two eardrums with a total area of 0.900 cm2 with an efficiency of 40.0% ?
Two identical loudspeakers 10.0 m apart are driven by the same oscillator with a frequency of f = 21.5 Hz (Fig. P17.6) in an area where the speed of sound is 344 m/s. (a) Show that a receiver at point A records a minimum in sound intensity from the two speakers. (b) If the receiver is moved in the plane of the speakers, show that the path it should take so that the intensity remains at a minimum is along the hyperbola 9x2 16y2 = 144 (shown in red-brown in Fig. P17.6). (c) Can the receiver remain at a minimum and move very far away from the two sources? If so, determine the limiting form of the path it must take. If not, explain how far it can go. Figure P17.6
A string is fixed at both end. The mass of the string is 0.0090 kg and the length is 3.00 m. The string is under a tension of 200.00 N. The string is driven by a variable frequency source to produce standing waves on the string. Find the wavelengths and frequency of the first four modes of standing waves.
On a marimba (Fig. P18.75), the wooden bar that sounds a tone when struck vibrates in a transverse standing wave having three ant modes and two nodes. The lowest-frequency note is 87.0 Hz, produced by a bar 40.0 cm long, (a) Find the speed of transverse waves on the bar. (b) A resonant pipe suspended vertically below the center of the bar enhances the loudness of the emitted sound. If the pipe is open at the top end only, what length of the pipe is required to resonate with the bar in part (a)?
What intensity level does the sound in the preceding problem correspond to?
Waves on a swimming pool propagate at 0.750m/s. You splash the water at one end of the pool and observe the wave go to the opposite end, reflect, and return in 30.0 s. How far away is the other end of the pool?