The distance between the first and the third nodes of a standing wave is 0.1 m,its maximumn displacement is 0.04 m and its frequency is 160 Hz. The wave-functions of the two travelling waves which interfere to give the standing waveare then:O yl = 0.02 sin(20x-320rtt), y2 = 0.02 sin(20rtx+320rt),O y1 = 0.04 sin(20rx-320rt), y2 = 0.04 sin(20rIX=320nt),O yl = 0.01 sin(5Tx-40rtt) y2 0.01 sin(5nx+40mt),O y1 = 0.005 sin(5Ttx-40rtt) , y2 0.005 sin(5rx+40nt),Oyl= 0.01 sin(10nx-80rtt), y2 0.01 sin(10rtx-80nt), Two identical sinusoidal waves with wavelengths of 1.5 m travel in the samedirection at a speed of 25 m/s. If the two waves originate from the same startingpoint, but with time delay At between them, and with resultant amplitudeA_resultant = N3 A then At will be equal to:0.0125 sec0.01 sec0.005 secO 0.025 secO 0.00625 secO O O O

Since you have asked multiple question, we will solve the first question for you. If you want any…

The distance between the first and the third nodes of a standing wave is 0.1 m, its maximum displacement is 0.04 m and its frequency is 160 Hz. The wave- functions of the two travelling waves which interfere to give the standing wave are then: O y1 = 0.02 sin(20rx-320rt), y2 = 0.02 sin(20TX+320rt), O y1 = 0.04 sin(20rtx-320rt) ; y2 = 0.04 sin(20Ttx+320rt), O y1 = 0.01 sin(5rtx-40Ttt), y2 0.01 sin(5Ttx+40nt), O y1 = 0.005 sin(5rtx-40nt) .y2 0.005 sin(5rtx+40nt), O y1 = 0.01 sin(10tx-80mt), y2 = 0.01 sin(10rtx-80nt),

The distance between the first and the third nodes of a standing wave is 0.1 m, its maximum displacement is 0.04 m and its frequency is 160 Hz. The wave- functions of the two travelling waves which interfere to give the standing wave are then: O y1 = 0.02 sin(20rx-320rt), y2 = 0.02 sin(20TX+320rt), O y1 = 0.04 sin(20rtx-320rt) ; y2 = 0.04 sin(20Ttx+320rt), O y1 = 0.01 sin(5rtx-40Ttt), y2 0.01 sin(5Ttx+40nt), O y1 = 0.005 sin(5rtx-40nt) .y2 0.005 sin(5rtx+40nt), O y1 = 0.01 sin(10tx-80mt), y2 = 0.01 sin(10rtx-80nt),

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: Q20. An open tub rolls across a frictionless surface. As it rolls, rain falls vertically into the…

A: Given:: Quantitative explaination

Q: C F2 Figure above shows a thin converging lens for which the radii of curvature are R1 =12.0cm and…

Q: Two waves are traveling in opposite directions on the same string. The displacements caused by the…

A: Given that-Displacement of first wave, Displacement of second wave, time (t) = 3.20sec

Q: These two waves travel along the same string: Y1 = (3.80 mm) sin(2.45tx - 340xt) Y2 = (6.00 mm)…

A: The superposition of the waves can be written as, y=y1+y2=3.80 mmsin(2.45πx-340πt)+6.00…

Q: Two sinusoidal waves in a string are defined by the wave functions Y1 = 2.10 sin (15.0x - 34.0t)…

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: 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: 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: Two waves are traveling in opposite directions on the same string. The displacements caused by the…

A: The wave equation is an equation that describes properties of motion in waves. For two waves formed…

Q: A propagating wave is represented by the wave function: y(x,t) = A sin (kx - wt+p where x and y are…

Q: Two progressive waves yj = A sin(x - ot) and y2 = A sin(x – wt – 5 ) travel in the same direction.…

Q: These two waves travel along the same string: Y, = (3.80 mm) sin(2.45xx - 340xt) Y2 = (6.00 mm)…

A: Given : Two waves travel along the same string : y1 =3.8 mm sin(2.45πx - 340πt)y2 =…

Q: con

A: Given: y = [Cos (100t) Sin (x)]/π

Q: These two waves travel along the same string: Y₁ = (3.92 mm) sin(2.00zx - 370πt) Y2 = (5.01 mm)…

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

The distance between the first and the third nodes of a standing wave is 0.1 m,
its maximumn displacement is 0.04 m and its frequency is 160 Hz. The wave-
functions of the two travelling waves which interfere to give the standing wave
are then:
O yl = 0.02 sin(20x-320rtt), y2 = 0.02 sin(20rtx+320rt),
O y1 = 0.04 sin(20rx-320rt), y2 = 0.04 sin(20rIX=320nt),
O yl = 0.01 sin(5Tx-40rtt) y2 0.01 sin(5nx+40mt),
O y1 = 0.005 sin(5Ttx-40rtt) , y2 0.005 sin(5rx+40nt),
Oyl= 0.01 sin(10nx-80rtt), y2 0.01 sin(10rtx-80nt),

Two identical sinusoidal waves with wavelengths of 1.5 m travel in the same
direction at a speed of 25 m/s. If the two waves originate from the same starting
point, but with time delay At between them, and with resultant amplitude
A_resultant = N3 A then At will be equal to:
0.0125 sec
0.01 sec
0.005 sec
O 0.025 sec
O 0.00625 sec
O O O O

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 with 3 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 identical sinusoidal waves with wavelengths of 1.5m travel in the same direction at a speed of 25 m/s. If the two waves originate from the same starting point, but with time delay At between them, and with resultant amplitude A resultant = V3 A then At will be equal to: 0.00625 sec 0.025 sec 0.0125 sec O0.01 sec 0.005 sec Two waves travelling in the same direction are given by: y1= 0.2 sin(2Ttx-201-p)| and y2 0.2 sin(2rtx-20t), wherex and y are in meters andtis inseconds. If the
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 waves are traveling in opposite directions on the same string. The displacements caused by the individiual waves are given by y1=(26.0 mm)sin(8.58πt - 1.64πx) and y2=(37.0 mm)sin(3.63πt + 0.536πx). Note that the phase angles (8.58πt - 1.64πx) and (3.63πt + 0.536πx) are in radians, t is in seconds, and x is in meters. At t = 5.00 s, what is the net displacement (in mm) of the string at (a) x = 2.19 m and (b) x = 2.71 m? Be sure to include the algebraic sign (+ or -) with your answers.
These two waves travel along the same string: Y₁ = (3.61 mm) sin(2.03πx - 380лt) Y2 = (5.73 mm) sin(2.03лx - 380πt +0.818лrad). What are (a) the amplitude and (b) the phase angle (relative to wave 1) of the resultant wave? (c) If a third wave of amplitude 5.32 mm is also to be sent along the string in the same direction as the first two waves, what should be its phase angle in order to maximize the amplitude of the new resultant wave? (a) Number i (b) Number (c) Number Units Units Units
Problem 4: A transverse wave has a frequency of v = 30.5 Hz and a wavelength of 1 = 2.5 m. The wave obtains a maximum displacement of ym = 2.9 m and propagates in the -x direction. Part (a) Given the form y(x,t) = A sin(B) for the displacement of the wave, input an expression for A. A%3D 8 HOME e 5 d h 1 i END t Ут vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) Using the same form y(x,t) input an expression for B. Part (c) How fast is the wave traveling in m/s?
Two waves are traveling in opposite directions on the same string. The displacements caused by the individiual waves are given by y1=(21.0 mm)sin(6.70πt - 1.16πx) and y2=(39.0 mm)sin(3.70πt + 0.211πx). Note that the phase angles (6.70πt - 1.16πx) and (3.70πt + 0.211πx) are in radians, t is in seconds, and x is in meters. At t = 2.10 s, what is the net displacement (in mm) of the string at (a) x = 2.25 m and (b) x = 2.54 m? Be sure to include the algebraic sign (+ or -) with your answers.
If you two waves Y1 = 5 sin (4x - 2t) and Y2 = 5 sin (4x - 2t + t/3) move in the opposite direction and superimpose with each other to create a resultant wave, amplitude of the resultant wave: Yo = 10 cos (T/6) = 8.66 What does mean by the value of amplitude of the resultant wave?