Essential University Physics: Volume 1 (3rd Edition)
3rd Edition
ISBN: 9780321993724
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 14, Problem 67P
To determine
To show: The condition for standing wave is equivalent to the requirement that the time it takes a wave to wave to make a round trip from one end of the medium to the other and back is an integer multiple of the wave period.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
In SI units a wave is represented by x = {A} cos (7.56t) . What is the time required (in s) for a single wavelength to pass a fixed point by this wave (or in other words, the period T)?
6:18
Consider a composite wave formed by two plane waves with slightly different frequencies of
0 = 2.7 x 10" rad/s and o, = 2.9 x 10' rad/s
and respective wavelengths A = 17.0 nm and A, = 16.0 nm. Calculate the propagation velocity
of the carrier wave and give your results in units of m/s with 1 digit precision, rounding off to one
decimal place, i.e. the nearest tenth. (time budget 5min)
Ex. 35: A simple harmonic progressive wave of
amplitude 2 mm and frequency 500 Hz travels
with a velocity of 350 m/s in given medium.
Write down the equation of the wave in S.I.
units.
Chapter 14 Solutions
Essential University Physics: Volume 1 (3rd Edition)
Ch. 14.1 - A boat bobs up and down on a water wave, moving 2...Ch. 14.2 - The figure shows snapshots of two waves...Ch. 14.3 - Two identical stars are different distances from...Ch. 14.4 - Your band needs a new guitar amplifier, and the...Ch. 14.5 - Light shines through two small holes into a dark...Ch. 14.6 - Youre holding one end of a taut rope, and you cant...Ch. 14.7 - A string 1 m long is clamped tightly at one end...Ch. 14.8 - In Fig. 14.35, which is moving faster in relation...Ch. 14 - What distinguishes a wave from an oscillation?Ch. 14 - Red light has a longer wavelength than blue light....
Ch. 14 - Prob. 3FTDCh. 14 - As a wave propagates on a string, the string moves...Ch. 14 - If you doubled the tension in a string, what would...Ch. 14 - A heavy cable is hanging vertically, its bottom...Ch. 14 - Prob. 7FTDCh. 14 - Medical ultrasound uses frequencies around 107 Hz,...Ch. 14 - If you double the pressure of a gas while keeping...Ch. 14 - Water is about a thousand times more dense than...Ch. 14 - Prob. 11FTDCh. 14 - When a wave source moves relative to the medium, a...Ch. 14 - Why can a boat easily produce a shock wave on the...Ch. 14 - Ocean waves with 18-m wavelength travel at 5.3...Ch. 14 - Prob. 15ECh. 14 - Prob. 16ECh. 14 - Prob. 17ECh. 14 - A seismograph located 1250 km from an earthquake...Ch. 14 - Medical ultrasound waves travel at about 1500 m/s...Ch. 14 - An ocean wave has period 4.1 s and wavelength 10.8...Ch. 14 - Find the (a) amplitude, (b) wavelength, (c)...Ch. 14 - Ultrasound used in a medical imager has frequency...Ch. 14 - Prob. 23ECh. 14 - Prob. 24ECh. 14 - Prob. 25ECh. 14 - A transverse wave 1.2 cm in amplitude propagates...Ch. 14 - A transverse wave with 3.0-cm amplitude and 75-cm...Ch. 14 - Prob. 28ECh. 14 - Prob. 29ECh. 14 - Show that P/ from Equation 14.9 has the units of...Ch. 14 - Find the sound speed in air under standard...Ch. 14 - Timers in sprint races start their watches when...Ch. 14 - The factor for nitrogen dioxide (NO2) is 1.29....Ch. 14 - A gas with density 1.0 kg/m3 and pressure 81 kN/m2...Ch. 14 - Prob. 35ECh. 14 - Youre flying in a twin-engine turboprop aircraft,...Ch. 14 - Prob. 37ECh. 14 - A 2.0-m-long string is clamped at both ends. (a)...Ch. 14 - When a stretched string is clamped at both ends,...Ch. 14 - A string is clamped at both ends and tensioned...Ch. 14 - A crude model of the human vocal tract treats it...Ch. 14 - A car horn emits 380-Hz sound. If the car moves at...Ch. 14 - A fire stations siren is blaring at 85 Hz. Whats...Ch. 14 - A fire trucks siren at rest wails at 1400 Hz;...Ch. 14 - Red light emitted by hydrogen atoms at rest in the...Ch. 14 - Figure 14.36 shows a simple harmonic wave at time...Ch. 14 - Prob. 47PCh. 14 - Prob. 48PCh. 14 - Figure 14.37 shows a wave train consisting of two...Ch. 14 - A loudspeaker emits energy at the rate of 50 W,...Ch. 14 - Prob. 51PCh. 14 - Prob. 52PCh. 14 - Prob. 53PCh. 14 - A wire is under 32.8-N tension, carrying a wave...Ch. 14 - A spring of mass m and spring constant k has an...Ch. 14 - Prob. 56PCh. 14 - Prob. 57PCh. 14 - Figure 14.38 shows two observers 20 m apart on a...Ch. 14 - An ideal spring is stretched to a total length L1....Ch. 14 - Prob. 60PCh. 14 - You see an airplane 5.2 km straight overhead....Ch. 14 - What are the intensities in W/m2 of sound with...Ch. 14 - Show that a doubling of sound intensity...Ch. 14 - Sound intensity from a localized source decreases...Ch. 14 - At 2.0 in from a localized sound source you...Ch. 14 - The A-string (440 Hz) on a piano is 38.9 cm long...Ch. 14 - Prob. 67PCh. 14 - Youre designing an organ for a new concert hall;...Ch. 14 - Show by differentiation and substitution that a...Ch. 14 - Prob. 70PCh. 14 - Youre a marine biologist concerned with the effect...Ch. 14 - A 2.25-m-long pipe has one end open. Among its...Ch. 14 - Prob. 73PCh. 14 - Obstetricians use ultrasound to monitor fetal...Ch. 14 - Prob. 75PCh. 14 - You move at speed u toward a wave source thats...Ch. 14 - Youre a meteorologist specifying a new Doppler...Ch. 14 - Use a computer to form the sum implied in the...Ch. 14 - Your little sister and her friend build treehouses...Ch. 14 - An airport neighborhood is concerned about the...Ch. 14 - Tsunamis are ocean waves generally produced when...Ch. 14 - Tsunamis are ocean waves generally produced when...Ch. 14 - Tsunamis are ocean waves generally produced when...Ch. 14 - Tsunamis are ocean waves generally produced when...
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
- Write down the mathematical function for a wave whose maximum ampli- tude is 3 m, and which travels with a speed of 350 m/s. Let the linear frequency of this wave be 1000 Hz.arrow_forwardUse dimensional analysis to find how the speed vvv of a wave on a string of circular cross section depends on the tension in the string, T, the radius of the string, R, and its mass per volume, ρ (rho). Express your answer in terms of the variables T, R, and ρ(rho).arrow_forwardTwo waves are traveling simultaneously down a long Slinky. They can be represented byφ1 (x, t) = 0.0030 sin(6.0x - 300t) and φ2 ( x, t) = 0.0030 sin(7.0x - 250t). Distances are measured in meters and time in seconds. (a) Write the expression for the resulting wave. (b) What are the phase and group velocities? (c) What is ∆x between two adjacent zeros of φ? (d) What is ∆k ∆x?arrow_forward
- Problem 4: A traveling wave along the x-axis is given by the following wave functionψ(x, t) = 3.6 cos(1.4x - 9.2t + 0.34),where x in meter, t in seconds, and ψ in meters. Read off the appropriate quantities for this wave function and find the following characteristics of this plane wave: Part (a) The amplitude in meters. Part (b) The frequency, in hertz. Part (c) The wavelength in meters. Part (d) The wave speed, in meters per second. Part (e) The phase constant in radians.arrow_forwardA traveling wave on a long strong is described by the time-dependent wave function f(x, t) = a sin(bx - qt), with a = 6.00 x 10-2 m, b = 5? m-1, and q = 314 s-1. You want a traveling wave of this frequency and wavelength but with amplitude 0.0400 m. Write the time-dependent wave function for a second traveling wave that could be added to the same string in order to achieve this.arrow_forward3.10 Verify by direct substitution that the wave function for a standing wave given in the equation below is a solution of the general linear wave equation, shown below. (Submit a file with a maximum size of 1 MB.) linear wave standing wave y = (2A sin(kx)) cos(at) a²y 1 a²y Əx² v² at ² Choose File No file chosen = This answer has not been graded yet.arrow_forward
- Oscillation of a 300 Hz tuning fork sets up standing waves in a string clamped at both ends. The wave speed for the string is 460 m/s. The standing wave has four loops and an amplitude of 2.5 mm. (a) What is the length of the string? (b) Write an equation for the displacement of the string as a function of position and time. Round numeric coefficients to three significant digits. I got 2.5sin(4.09x)cos(600pi*t), I think I'm close but I don't have it right.arrow_forwardProve that for a sinusoidal wave of one cycle, the average value is zero.arrow_forwardConsider a composite wave formed by two plane waves with slightly different frequencies of 0, = 2.7 x 1012 rad/s and aw2 = 2.9 × 1012 rad/s and respective wavelengths A1 = 17.0 nm and 2 16.0 nm. Calculate the propagation velocity %D of the envelope wave and give your results in units of m/s with 1 digit precision, rounding off to one decimal place, i.e. the nearest tenth. (time budget 5min)arrow_forward
- A wave is represented by y=(3.00m)sin(2.5t - 3.14x). Find the (a) amplitude, (b) angular velocity, (c) frequency, (d) wave number, (e) wavelength, and (f) speed of the wave. (Okay, since i've submitted the question already and the letter a, b and c were already answered please help me answer letter d, e , and f) the computed (a) amplitude= 3m , (b) the angular velocity is 2.5 rad/s, (c) the frequency of the wave is 0.398 Hz.. please do check if it's correctarrow_forwardA traveling wave along the x-axis is given by the following wave functionψ(x, t) = 4.8 cos(1.2x - 8.2t + 0.54), where x in meter, t in seconds, and ψ in meters. Read off the appropriate quantities for this wave function and find the following characteristics of this plane wave. What is the frequency in Hertz, the wavelength in meters, the wave speed in meters per second, and the phase constant in radiansarrow_forwardThe function y(x,t) = 3 describes a wave. Show that this function satisfies the wave x-5t equation, = by explicitly evaluating the partial derivatives. Also, calculate the 1 a?y v2 at2 numerical value of the wave speed v.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning