Two waves of amplitudes 3.6 m and 4.2 m, angular frequencies 942 rad/s, propagation constants 1.57 rad/m having phase difference 180 degree interfere with each other. The wavelength of each wave is O a.0.8 m O b. 10 m O C. 4 m O d. 2 m

Two waves of amplitudes 3.6 m and 4.2 m, angular frequencies 942 rad/s, propagation constants 1.57 rad/m having phase difference 180 degree interfere with each other. The wavelength of each wave is O a.0.8 m O b. 10 m O C. 4 m O d. 2 m

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter37: Wave Optics

Section: Chapter Questions

Problem 37.7CQ: What is the necessary condition on the path length difference between two waves that interfere (a)...

See similar textbooks

Related questions

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

A: We have, Phase difference, φ = (2π/T)× time difference Given, Frequency f= 2Hz So time period…

Q: Question 34 A sinusoidal wave traveling in the positive x direction has an amplitude of 30.0 cm, a…

A: given - sinusoidal wave amplitude = 30cm wavelength= 80cm frequency,f = 16Hz to find - angular…

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 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 y1 and y2 of frequency f=10 Hz and speed v=20 m/s arrive to point M with a path difference…

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 progressive waves y1 = A sin(x – ot) and y2 = A sin( 4 x – wt – 5) travel in the same direction.…

Q: 6. A travelling wave is represented by the function: y(x, t) = 0. 009 m sin (1. 2 m-lx- 5.0s~'t)…

A: Given: yx,t=0.009m sin1.2 m-1x-5 s-1t ....... (1) The standard for of the equation is:…

Q: Two waves y1 and y2 of frequency f=10 Hz and speed v=20 m/s arrive to point M with a path difference…

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

Q: y=-7.89 , x=0 and t=0 A=48.2cm Wavelength = 46.7 cm Wave speed =14.7 m/s Determine Angular…

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: 3. A travelling wave is represented by the function: y(x,t)-D0.009 m sin (1.2 m^(-1) x-5.0s^(-1) t)…

A: According to question we need to find angular frequency? frequency? wave speed?

Q: A 4.2 m pipe that is closed at one end emits a 357 Hz wave that has a wavelength of 0.8 m. Determine…

Q: 3. A wave passes through a gap and diffraction causes the wave to spread out. Which wave spreads out…

A: Wavelength The distance between equal spots between two consecutive waves is known as the…

Q: You are hiking to the top of a small canyon. When you stop for a rest you decide to shout "hello"…

A: Given, Speed of sound , v = 340 m/s Time taken , t = 1.1 s Distance travelled by sound (=width…

Q: Two progressive waves y1(x, t) = A sin(2π/λ (x) − ωt) and y2(x, t) = A sin(2π/λ (x) − ωt −π/2)…

A: Let A1 and A2 be defined as the amplitude of the two interfering waves. Therefore,…

Q: Spherical waves of wavelength 45.0 cm propagate outward from a point source. (a) Explain how the…

A: Given, Wavelength of spherical waves = 45 cm

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: For the wave y = 6 sin 2t the angular frequency is 2/3 True False

A: Given The wave equation is given as y=6 sin2t3 ...........................(1) We have to find the…

Q: The wave given by E = E,e (kx+wt+n)j is a sine wave instead of a cosine wave because o = TT. %3D…

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

Q: 2t For the wave y = 6 sin the angular frequency is 2/3 True O False

Q: 1) For the waveform to the right, determine the following if the speed of the wave is 140m/s.…

Q: One oscillator has amplitude of 3m, mass of 4kg and its spring constant is 100. Its initial phase is…

Q: If y = 0.02 sin (30x- 400t) (SI units), the wave number is A 30/27 rad/m B 400/27 rad/m 30 rad/m 400…

A: Given in question: Wave equation - ( y=0.02sin(30x-400t)) To find: Wave number(K) Solution: Step1…

Q: 5. A travelling sinusoidal wave has this equation: y(x, t) = 0.0450 m sin(25.12 m-1x-…

A: The given sinusoidal wave equation is y=0.0450 sin25.12x-37.68t-0.523 .............................…

Q: A 3.49 rad/s (33 1/3 rpm) record has a 5.49-kHz tone cut in the groove. If the groove is located…

Q: When a wave encounters a free boundary, then what is the angle between the incident and reflected…

A: SOlution: reflection of wave from the free boundary

Q: 5T Consider a wave described by the wave function y (x,t) =0.50m sin 9T s1t+), find t 4 -1 TO…

Q: 2. Given the equation of the wave: y(x, t)=1.0mCos(2tm:1 x - What is: a.) wavelength, b.) frequency,…

A: Given y (x, t) = 1.0 m Cos ( 2π m-1 x - πt/3 ) general equation of wave y (x,t) = a Cos (kx - wt)

Q: You are given the wave y(z,t)= -5cos(3x+2t) where all quantities are in SI. This wave propagates to…

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

Q: For the given boundary, what is the angle between the incident and reflected wave ? frm Free…

A: After reflection from the free boundary the wave reflects as it is without inversion.

Q: Find the expression for the sinusoid shown in Figure 6. Choices: A. i= 10 sin(377t + 144°)…

Q: The diagram below shows two sine waves present in the same medium; several points along the medium…

A: At point A there is destructive interference because at this point displacement of waves is in…

Q: 43. Which diagram best represents the reflection of a wave? A Page 12 I 18 Q + C.

A: In Reflection the wave reflect from it surface and comes back to the initial direction form where it…

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: Speed of Wave equation Amplitude Frequency No. S. Wavelength wave (rad/s) A (cm) (Hz) (m) (m/s) 1…

A: wave speed is the distance a wave travels in a given amount of time, such as number of meters it…

Q: For the given boundary, what is the angle between the incident and reflected wave ? Fixed Boundary…

A: Reflection of wave: The re-bouncing of waves when it strikes to the…

Q: 5) For the graph below, x is in millimeters and y is in V/m. Find the wave number k in rad/m. Graph…

A: The given graph is the sine- graph of the wave. The wavelength of the wave is calculated as the…

Q: For the given boundary, what is the angle between the incident and reflected wave ? Free Boundary…

A: At open end there is reflection with zero phase change

Q: 4. For the following, identify the speed of the wave f(x, t) and the direction it is travelling. (a)…

Q: Which statement identifies a true relationship between the various wave components? If amplitude…

A: A disturbance that moving from one location to another location through a medium is known as a wave.…

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

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 waves of amplitudes 3.6 m and 4.2 m, angular frequencies 942 rad/s, propagation constants 1.57 rad/m having phase
difference 180 degree interfere with each other. The wavelength of each wave is
O a. 0.8 m
O b. 10 m
O C. 4 m
O d. 2 m

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

Waves from a radio station have a wavelength of 3.00 102 m. They travel by two paths to a home receiver 20.0 km from the transmitter. One path is a direct path, and the second is by reflection from a mountain directly behind the home receiver. What is the minimum distance from the mountain to the receiver that produces destructive interference at the receiver? (Assume that no phase change occurs on reflection from the mountain.)
What is the necessary condition on the path length difference between two waves that interfere (a) constructively and (b) destructively?
Light Is a Wave C As shown in Figure P35.1, spray paint can be used with a stencil to produce an image that has sharp edges. Should you model the paint as waves or as particles? Explain. FIGURE P35.1
Sound with a frequency 650 Hz from a distant source passes through a doorway 1.10 m wide in a sound-absorbing wall. Find (a) the number and (b) the angular directions of the diffraction minima at listening positions along a line parallel to the wall.
Figure P24.69 shows a radio-wave transmitter and a receiver, both h = 50.0 m above the ground and d = 6.00 102 m apart. The receiver can receive signals directly from the transmitter and indirectly from signals that bounce off the ground. If the ground is level between the transmitter and receiver and a /2 phase shift occurs upon reflection, determine the longest wavelengths that interior (a) constructively and (b) destructively. Figure P24.69
Figure P36.35 shows a radio-wave transmitter and a receiver separated by a distance d = 50.0 m and both a distance h = 35.0 m above the ground. The receiver can receive signals both directly from the transmitter and indirectly from signals that reflect from the ground. Assume the ground is level between the transmitter and receiver and a 180 phase shift occurs upon reflection. Determine the longest wavelengths that interfere (a) constructively and (b) destructively. Figure P36.35 Problems 35 and 36.
When two waves interfere constructively or destructively, is there any gain or loss in energy in the system of the waves? Explain.
Wave X has amplitude A and wavelength ?. Its angular frequency is 3? rad/s, and it is traveling southwards. Wave Y also has amplitude A and wavelength ?, and is also traveling southwards. Its angular frequency is 5? rad/s. At time zero, the interference of X and Y is perfectly constructive. When will they next interfere this way?
1. What is the expected dB level reduction for a doubling of distance (x2=2*x1) for spherically spreading wave and planar waves? 2. What is the expected dB level reduction for a 10x the distance (x2=10*x1) for spherically spreading wave and planar waves?
Which of the following phase shifts will result in destructive interference of two identical waves? A) 2 (lambda) B)1/4 (lambda) C)1/2 (lambda) D)(lambda) E)both c and d
Two interfering light waves have intensities of 20,W,m−2 and 40,W,m−2 , and the phase difference between them at some point P is π/3 . The intensity at P, in W m−2 , including interference is:(give your answer as a decimal to 1.d.p.)
1)Two loudspeakers, placed on opposite walls of a 10m long room, emit pure sine waves at f= 170 Hz coherently. If we were exactly in the middle of the room, where the interference of waves is constructive, what is the shortest distance we should travel towards one of the speakers so that the waves cancel out completely?" Assume that the speed of sound at air is 340 m/s.