Two waves on a string are given by the following functions: y,(x,t) = 4cos(20t–30x) (cm) y,(x,t) = -4cos(20t+30x) (cm) where x is in centimeters. The waves are said to interfere constructively when their superposition ly, = ly,+y,l is a maximum, and they interfere destructively when ly,l is a minimum. (a) What are the directions of propagation of waves y,(x,t) and y,(x,t)? %3D (b) At t = (n/50) s, at what location x do the two waves interfere constructively, and what is the corresponding value of ly,1? (c) At t = (T/50) s, at what location x do the two waves interfere destructively, and what is the corresponding value of ly 1?

Two waves on a string are given by the following functions: y,(x,t) = 4cos(20t–30x) (cm) y,(x,t) = -4cos(20t+30x) (cm) where x is in centimeters. The waves are said to interfere constructively when their superposition ly, = ly,+y,l is a maximum, and they interfere destructively when ly,l is a minimum. (a) What are the directions of propagation of waves y,(x,t) and y,(x,t)? %3D (b) At t = (n/50) s, at what location x do the two waves interfere constructively, and what is the corresponding value of ly,1? (c) At t = (T/50) s, at what location x do the two waves interfere destructively, and what is the corresponding value of ly 1?

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

Similar questions

What`s frequency of 4th harmonic YAG:Nd3+ laser beam if it`s wavelength is 266.0 nm. Introduce answer in THz.
The equation of a transverse wave on a string isy = (2.0mm) sin(20m-1 x− 600s-1t) Tension in the string is 15 N. (a) What is the wave speed? (b) Find the lineardensity of this string in grams per meter.
I need the answer as soon as possible
Two waves on a string are given by y₁(x, t) = 0 cos(20t+20x) in cm, y₂(x, t) = 0 cos(20t – 20x) in cm where x is in centimeters. The waves are said to interfere constructively when their superposition |ys|=|y₁+y₂| is a maximum, and they interfere destructively when | ysy1+y2 is a minimum. (a) At t = (π/60) s, at what location à do the two waves interfere constructively, and what is the corresponding value of lysl? (b) At t = (π/60) s, at what location à do the two waves interfere destructively, and what is the corresponding value of lys? Answers: (a) |ys|max = (b) |ys min = cm at x = π/ cm at x = nn/ + Nπ/ cm, where n = 0, 1, 2,.... cm, where n = 0, 1, 2,....
Simple hormic motion
7NhZOB1Vch8kDAEmTnMzzo7IllzhvDIR2UQ/formResponse generating this wave is: 4 cm 8 cm 4/N3 cm 2/V3 cm 2 cm Two waves travelling in the same direction are given by: y1 = 0.2 sin(2Tx-20t+p) and y2 = 0.2 sin(2rtx-20t), where x and y are in meters andt is in seconds. If the two waves start at the same moment, then the path difference, Ax, corresponding to a fully destructive interference is: O4/3 m 1/3 m 3/4 m O 2/3 m. beidistance between the firstand the thirdinodes of a standing weve is O.1m. s maximum(spacementisC4m ana Its freeuency is l60 H2 Thewave functions off the Mhchintertere topive thestanding wave
(B) Calculate the intensity of a wave propagation with power of 20 KW. the area of the cross section of the surface is 35X 102 M2. If the power had been changed in sequences (30 KW, 40 KW, 45 KW) on same area represent by figures the relation between intensity of wave with all points of powers?
S A person stands 13.00 m from a speaker, and 8.00 m from an identical speaker. What is the wavelength of the first (n=1) interference maximum (constructive)? (Speed of sound = 343 m/s) (Unit = m) demy of Science. All Rights Reserved. =h H K hulu 20 Enter New ✔
Ex/30: A simple harmonic progressive wave of amplitude 5 cm and frequency 5 Hz is .... P1191 travelling in positive x-direction with speed of 40 m/s. Calculate displacement at x = 30 m and at time t = 1 second. (Oct. 1999)
A wave profile is represented by y=(200pi*t -17pi*x). calculate the wave length