Two identical waves travel in the same direction, each with a wavelength A = 0.5 m and speed v = 20 m/s. When the two waves interfere, they form a resultant wave. The angular frequency of the resultant wave is:

Two identical waves travel in the same direction, each with a wavelength A = 0.5 m and speed v = 20 m/s. When the two waves interfere, they form a resultant wave. The angular frequency of the resultant wave is:

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: A progressive sine wave in the positive direction of x has an amplitude of 25.0 cm, a wavelength of…

A: a. The speed of the wave on the string is

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: This figure shows a sinusoidal wave that is traveling from left to right, in the +x-direction.…

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

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: This figure shows a sinusoidal wave that is traveling from left to right, in the +x-direction.…

A: Given value--- frequency = 37.4 /sec . We have to find--- What is the wave's amplitude (in cm)?…

Q: Two sinusoidal sine waves are moving through a medium in the same direction, both having amplitude…

A: Amplitude of wave 1 (A)=3 cmApmlitude of wave 2 (A)= 3 cmTime period (T)= 6.52 sWavelength (λ) =…

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

A: A1=A2=Ayx,t=4sin4πx-60πt+π3 cm so Resultant amplitude Ares=4 cm andPhase angle φ=π3Now…

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 identical waves travel in the same direction, each with a wavelength A = 0.5 m and speedv= 20…

A: v=ωkω=vk=v2πλ

Q: Two harmonic waves are described by '₁ = (6 cm) sin J'₂ = (6 cm) sin 8 From the choices given,…

A: The positions of the two harmonic waves are y1=6 cmsinπ8mx+2st and y2=6 cmsinπ8mx-2st The…

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

A: The standard equation of the wave formed when two waves undergone constructive interference is…

Q: Two identical waves travel in the same direction, each with a wavelength A = 2 m and speed v = 20…

A: Wavelength λ=2 mSpeed v= 20 msecSince v=fλ Where f is natural frequency in Hzλ= wavelength mv= speed…

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

A: Let the amplitude of the individual waves be A and their phase difference be ϕ. In that case the…

Q: Two identical waves travel in the same direction, each with a wavelength A = 2 m and speed v = 20…

A: Wavelength of each wave λ=2 m Speed of each wave v=20 m/s

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

A: solution is given as

Q: This figure shows a sinusoidal wave that is traveling from left to right, in the +x-direction.…

Q: Given the transverse equation on water: y(x,t) = (0.502 m) cos (0.00450 m^-1 +6.28 s^-1 t) (a)…

A: Given Transverse Equation on water is y(x,t)=(0.502m) cos(0.00450m-1+6.28s-1 t) General Transverse…

Q: If two waves (Yı and Y2) move in the opposite direction and superimpose with each other to create a…

A: [ Given waves are both moving in the same direction i.e. +x-axis with second wave having a phase…

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

A: Given: Two sinusoidal waves, Amplitude, a=6 cm Wavelength, λ=3m Frequency, ν=1 Hz Phase difference,…

Q: 1 a2f The standard one-dimensional wave equation is az2 v2 at2' where v is the velocity of the wave.…

A: Let take option a, fz,t=Ae-b(z-vt)2 Let z=x fx,t=Ae-b(x-vt)2 ∂f∂x=A.e-b(x-vt)2.2(x-vt).(-b)…

Q: The figure below shows the dependence of the displacement on time of a wave, which is a sum of two…

Q: The superposition of two waves y1=A sin(kx-wt) and y2=A sin(kx-wt+p) results in a wave described by:…

A: The wave equations are y1=Asinkx-ωty1=Asinkx-ωt+φ

Q: A string is attached - vertically - from one end to a vibrator and from the other end to a block of…

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

A: Given, Maximum displacement A = 0.02 m frequency f = 40 Hz distance between first and third node =…

Q: If you two waves Y1 = 5 sin (4x - 2t) and Y2 = 5 sin (4x - 2t + a/3) move in the opposite direction…

A: The two sinusoidal waves are moving opposite to each other. As they superimpose on each other, they…

Q: A standing wave is the result of the superposition of two harmonic waves given by the equations…

A: Given: Two harmonic waves y1x,t=Asinωt-kxy2x,t=Asinωt+kx Angular frequency, ω=3π rad/s And k=2π…

Q: A certain transverse wave is described by y(x,t)=Bcos[2π(xL−tτ)]y(x,t)=Bcos[2π(xL−tτ)], where BBB…

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

Q: A sinusoidal wave moving in the positive x direction has an amplitude of 15.0 cm, a wavelength of…

A: a) The expression for velocity of the wave in the string is v=λf Substitute values in the above…

Q: con

A: Given: y = [Cos (100t) Sin (x)]/π

Q: A transverse wave on a string is given by the wave function y(x, t) = A sin(kx + wt + p), where A =…

Q: A transverse wave yields a 'y' value as a sine function of 'x' and 't'. The wave oscillates between…

Q: This figure shows a sinusoidal wave that is traveling from left to right, in the +x-direction.…

A: Given data:- The given frequency is, 13.2 Hz

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

A: Given: The resultant wave is yresx,t=2 cmsin4πx-60πt+π3.

Q: A distance of 3.30 meters lies between two successive maxima of a transverse wave. Five wave crests…

A: (a) Compute the wave's frequency (in Hz). (b) With what speed (in ms-1) does the wave…

Q: If two waves (Yı and Y2) move in the opposite direction and superimpose with each other to create a…

A: Resultant of two waves superimposed on each other is given as Y=2Amcosϕ2sinkx-ωt+ϕ2…

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 identical waves travel in the same
direction, each with a wavelength A = 0.5 m
and speed v = 20 m/s. When the two waves
interfere, they form a resultant wave. The
angular frequency of the resultant wave is:
T/5 rad/s
O 20m rad/s
40t rad/s
80n rad/s
O T/10 rad/s

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

Two sinusoidal waves of the same frequency travel in the same direction along a string. If Ym1 = 4.1 cm, Ym2 = 3.9 cm, P₁ = 0, and ₂ = π/3 rad, what is the 42 amplitude of the resultant wave? Number i Units <
Two sinusoidal waves of the same frequency travel in the same direction along a string. If ym1 = 4.2 cm, ym2 = 6.2 cm, φ1 = 0, and φ2 = π/2 rad, what is the amplitude of the resultant wave?
The wave vectok (k) of a travelling wave propagating along +xy plane is given below. If the magnitude of k is 5rad/m, angular frequency of the wave is 60rad/s, amplitude is 6 unit and value of the wave at origin is zero (u(x:0,y:0; t:0)=0) write a mathematical expression for this wave. ky K 30⁰ 0 |k|=5rad/m kx
Two identical traveling waves, moving in the same direction, are out of phase by z/3.0 rad. What is the amplitude of the resultant wave in terms of the common amplitude ym of the two combining waves? (Give the answer as the ratio of the total amplitude to the common amplitude.) Number i Units
A fisherman notices that his boat is moving up and down in a periodic way because of waves on thesurface of the water. It takes 4.0 s for the boat to travelfrom its highest point to its lowest, a total distanceof 3.0 m. The fisherman sees that the wave crests are spaced 8.0 m apart. The speed of a wave is ______ m/s.
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) = 2 cm sin(4πx-60πt+π/3). The amplitude of the individual waves generating this wave is: 2/√3 cm 2 cm 8 cm 4/√3 cm 4 cm
Two sinusoidal waves, which are identical except for a phase shift, travel along in the same direction. The wave equation of the resultant wave is yR (x, t) = 0.35 cm sin (6.28 m−1 x − 1.57 s−1 (t) + π/4). What are the period, wavelength, amplitude, and phase shift of the individual waves?
Two identical sinusoidal waves travel in the same direction at the same speed with an amplitude A. The phase difference between the two waves is p = 69.8°. The amplitude of the resultant wave, Aresultant is increased with respect to the amplitude of the individual waves, A, by: O 164% 82% O 64% 18%
Two identical waves travel in the same direction, each with a wavelength = 2 m and speed V = 20 m/s. When the two waves interfere, they form a resultant wave. The angular frequency of the resultant wave is: O 20m rad/s O T/5 rad/s O T/10 rad/s O 40m rad/s 80m rad/s The left end of a taut string of length L, is connected to a vibrator with a fixed
Asap
Two waves are described by: yı(x, t) = 0.25 sin[T(15x – 2002)] y2(x, t) = 0.25 sin[T(15x – 200t) + T/3] where yı, y2, and x are in meters and t is in seconds. When these two waves are combined, a traveling wave is produced. What are the (a) amplitude, (b) wave speed, (c) wavelength, and (d) equation y'(x, t) = yı(x, t) + y2(x, t) of that traveling wave (be sure to simplify your final expression using trigonometric identities or an appropriate formula from class or the book)? and -
A wave is modeled by the wave function: y (x, t) = A sin [ 2π/0.1 m (x - 12 m/s*t)] We now consider two sound waves with different frequencies which have to the same amplitude. The wave functions of these waves are as follows: y1 (t) = A sin (2πf1t) y2 (t) = A sin (2πf2t) Find the resultant wave function analytically. Study how the resulting wave behaves in time.