Two waves y1 and y2 each of frequency f=5 Hz, wavelength X=2 m, amplitude A=0.4 m travel in the negative x-direction with a phase difference of Tt/2 rad. The interference of these two waves gives a wave described by:

Two waves y1 and y2 each of frequency f=5 Hz, wavelength X=2 m, amplitude A=0.4 m travel in the negative x-direction with a phase difference of Tt/2 rad. The interference of these two waves gives a wave described by:

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 111P: Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a...

See similar textbooks

Related questions

Q: Two waves Y1 = 5.4 sin (2355 t–0.0628 x + 5t) and Y2 = 6.8 sin (2355 t–0.0628 x + 67) interfere.…

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

A: When two sinusoidal waves travelling in the same direction having the same amplitude (A), wavelength…

Q: Two transverse waves y1 = 2 sin(2Tt - TIX) and y2 = 2 sin(2Tt - TTX + Tt/3) are moving in the same…

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

Q: Two waves of the same frequency have amplitudes 1.38 and 2.85. They interfere at a point where their…

A: When two waves of same frequency superpose, amplitude of resultant of two waves depends upon the…

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 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: appropriately chosen, the t- 3) sin(kx + wt) and y2(x,t) sin(kx – wt) and y2(x,t) sin(kx – wt) and…

A: Principle of superposition if two or more waves are moving through the…

Q: Consider two wave functions y1 (x, t) = A sin (kx − ωt) and y2 (x, t) = A sin (kx + ωt + ϕ) . What…

Q: Consider two waves defined by the wave functions y1 (x, t) = 0.20 m sin(2π/6.00m) x − (2π/4.00s)…

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

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

A: Given data The amplitude of each wave is A=0.027 m The amplitude of the resultant wave is Ares=0…

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: Two progressive waves y1=Asin((2π/λ)x−ωt) and y2=Asin((2π/λ) x−ωt−(π/2)) travel in the same…

A: Given: y1=Asin2πλ-ωt y2=Asin2πλ-ωt-π2hereamplitude, A= 6.7 cm, wavelngth, λ=4 m and angular…

Q: Two waves of the same frequency have amplitudes 1.00 and 2.00. They interfere at a point where their…

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

A: Given values: Frequency, f=5 HzWavelength, λ=2 mAmplitude, A=0.4 mPhase difference,ϕ=π2

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: Two waves Y1 = 3.6 sin (942 t–0.02512 x + 37) and Y2 = 3.8 sin (942 t –0.02512 x + 47t) interfere.…

A: we have to compare it with wave equation and then have to find the unknown quantities

Q: x and y are in meters andt is in seconds. The resultant interference wave function is expressed as:…

A: When two waves are superimposed with each other the resultant wave is given by y…

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

A: Given equation, yr(x,t)=2sin(4πx-60πt+π3) We know the standard wave equation, y(x,t)=Asin(kx-ωt+ϕ)…

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

Q: Two progressive waves y1=Asin((2π/λ)x−ωt) and y2=Asin((2π/λ)x−ωt−π2) travel in the same direction.…

A: The resultant wave would be given by Y=y1+y2

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

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

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: An interface is formed between a block of aluminium (with an acoustic impedance of 1.8 x 107 kg m2…

Concept explainers

Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.

Question

Two waves y1 and y2 each of frequency f=5
Hz, wavelength A=2 m, amplitude A=0.4 m
travel in the negative x-direction with a
phase difference of Tt/2 rad. The
interference of these two waves gives a
wave described by:
y=0.8 sin(TIx-1Ont+n/8)
O y=0.4 sin(Ttx+10nt+n/8)
O y=0.4v2 sin(Ttx+10rt+r/4)
O y=0.4v2 sin(tx+10rtt+t/8)
None

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

Concept

VIEW

Solution

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

Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 7.00 cm, a wave number of k=3.00 m-1, an angular frequency of =2.50 s-1, and a period of 6.00 s, but one has a phase shift of an angle =12 rad. What is the height of the resultant wave at a time t=2.00 s and a position x=0.53 m?
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?
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.
What is the necessary condition on the path length difference between two waves that interfere (a) constructively and (b) destructively?
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?
Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)
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?
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 6.00 cm, a wavelength of 4.3 m, and a period of 6.00 s, but one has a phase shift of an angle =0.50 rad. What is the height of the resultant wave at a time t=3.15 s and a position x=0.45 m ?
Give one example of a transverse wave and one example of a longitudinal wave, being careful to note the relative directions of the disturbance and wave propagation in each.
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 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.
a) What are the wavelengths and amplitudes of the two origonal waves? b) What is the wavelength and amplitude of the resulting wave?