Related questions
Concept explainers
A wave is modeled by the wave function:
y (x, t) = A sin [ 2π/0.1 m (x - 12 m/s*t)]
1. Find the wavelength, wave number, wave velocity, period and wave frequency.
2. Construct on the computer, in the same graph, the dependence of y (x, t) from x on t = 0 and t = 5 s in case the value of amplitude A corresponds to the first letter of your name: letter E
A. A=0.1 m
B. A=0.15 m
C. A=0.2 m
Ç. A=0.25 m
D. A=0.3 m
Dh. A=0.35 m
E. A=0.4 m
Ë. A=0.45 m
F. A=0.5 m
G. A=0.55 m
Gj. A=0.6 m
H. A=0.65 m
I. A=0.7 m
J. A=0.75 m
K. A=0.8 m
L. A=0.85 m
Ll. A=0.9 m
M. A=0.95 m
N. A=1.05 m
Nj. A= 1.1 m
O. A=1.15 m
P. A=1.2 m
Q. A=1.25 m
R. A=1.3 m
Rr. A=1.35 m
S. A=1.4 m
Sh. A=1.45 m
T. A=1.5 m
Th. A=1.55 m
U. A=1.6 m
V. A=1.65 m
X. A=1.7 m
Xh. A=1.75 m
Y. A=1.8 m
Z. A=1.85 m
Zh. A=1.9 m
3. After constructing the graph, make the appropriate interpretations and comments from the result that you got graphically.
4. How much is the wave displaced during the time interval from t = 0 to t = 5 s? Does it match this with the graph results? Justify your answer. Is the material transported long wave displacement? If yes, how much material is transported over time interval from t = 0 to t = 5 s? Comment on your answer. 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)
5. Find the resultant wave function analytically.
6. Study how the resulting wave behaves in time.
7. Using any computer program, construct the wave dependency graph resultant y (t) from time t in the case when the frequencies of the two sound waves are many next to each other if the values are given: A = 1 m, f1 = 1000 Hz and f2 = 1050 Hz. Comment on the results from the graph and determine the value of the time when the waves are with the same phase and assemble constructively and the time when they are with phase of opposite and interfere destructively.
8. Doing the corresponding numerical simulations show what happens with the increase of the difference between the frequencies of the two waves and vice versa.
Trending nowThis is a popular solution!
Step by stepSolved in 4 steps
- A wire of mass 12 g and length 0.5 m under a tension of 680 N has an amplitude of 0.38 cm. If the frequency is 164 Hz, calculate the average power in watts of a wave propagating on the wire. Pav Warrow_forwardSolve one-dimensional wave equation by canonical reduction by considering u1 (x, t) = P(x – ct) and u2(x, t) = Þ(x + ct) as wave travelling to right and left with speed c at time t = 0,1,- and - and also tell about the characteristic curves.arrow_forwardthe wave functions for two harmonic waves are given by : y1(x,t)=(0.1m)sin(1.0x-3.0t), y2(x,t)=(0.1m)sin(1.0x-3.0t+π/2) where x is in metres and t is in seconds. write the wave function of the resultant wave when the two waves interfere. what is the amplitude of the resultant wavearrow_forward
- Assume that your eye acts as a diffraction limited telescope with a round primary aperture of diameter D = 4.50 mm . Two lights are arranged to be perpendicular to your line 1. 20.0cm (assuming Rayleigh's criterion): of sight with a separation of s = If the lights emit at 1, = 630 nm what is the furthest distance that we will see them as two а. separate lights, d? b. If the lights emit at 1, = 440 nm what is the furthest distance that we will see them as two separate lights, d;?arrow_forwardThe function y(x, t) = A cos(kx - wt) describes a traveling wave on a taut string with the x-axis parallel to the string. If the wavelength of the wave λ = 0.61 m and w = 18.9π/s, what is the speed of the traveling wave? Express your answer in m/s, to at least one digit after the decimal point.arrow_forwardDoes the wave’s direction of propagation go in the +x direction or the -x direction?arrow_forward
- What are the parts of this traveling wave? y(x,t) = (9.00 m) sin( (6л m¯¹)x + (4л rad/s)t - n/8) 3. Amplitude 4. Angular wave numberarrow_forwardPlease asaparrow_forward2. A very narrow slit of width a = 2.50µm is illuminated with light of wavelength 1 = 540.0 nm and a diffraction pattern is observed on a screen D=1.25 m from the slit. At the screen, how far from the optical axis, y2 , is the second minimum that appears on а. either side of the central maximum? b. At the screen, how far from the optical axis, ymax is the furthest minimum that appears on either side of the central maximum?arrow_forward
- Problem 1 Let y1 = A sin(kr – wt + a) and y2 = B sin(kx – wt + B) be the equa- tions representing two traveling transverse wave. Here A and B are two possibly different amplitudes, and a and ß are two possibly different phase shifts. The wave vector k and angular frequency w of each wave are the same. a) What are the phasors for each wave, denoted 1 and 2? b) What is the sum of the phasors? c) What is the radius R and phase angle o of the phasor in part b)?arrow_forwardA travelling sinusoidal wave has this equation: y(x,t)=0.0450m sin (25.12m^(-1)x. –37.88^(-1)t–0.523) Find the following: d. Angular frequency e. Frequency f. Phase Anglearrow_forwardA wave is modeled by the wave function: y (x, t) = A sin [ 2π/0.1 m (x - 12 m/s*t)] 1) Construct on the computer, in the same graph, the dependence of y (x, t) from x on t = 0 and t = 5 s and the value of amplitude A=0.8m.arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press 
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON