Concept explainers
Videos
Two waves travel on the same string. Is it possible for them to have (a) different frequencies; (b) different wavelengths; (c) different speeds; (d) different amplitudes; (c) the same frequency but different wavelengths? Explain your reasoning.
(a)
Two waves travelling on the same string can have different frequencies or not.
Explanation of Solution
The frequency of the wave is the number of ups and down variation of wave from its mean position.
When two waves are travelling on the same string the waves get superimposed. The frequency of the waves depends upon the property of wave that can differ from one wave to another. So it is possible that two waves travelling on the same string can have different frequencies
Conclusion: Therefore, yes it is possible for two waves to have different frequencies of two waves that are travelling on the same string.
(b)
Two waves travelling on the same string can have different wavelengths or not.
Explanation of Solution
The wavelength is the measuring parameter of any radiation and light.
When two waves are travelling on the same string their wavelengths gets superimposed. The frequency of any wave describes the wavelength of the waves. At every unique frequency the wavelength of the spring is also unique. So any mechanical wave that is travelling on same string can have different wavelength.
Conclusion: Therefore, yes it is possible for two waves to have different wavelength of two waves that are travelling on the same string.
(c)
Two waves travelling on the same string can have different speed or not.
Explanation of Solution
The speed of any wave is the rate of travelling of wave from one medium to another.
When two waves are travelling on the same string the medium of propagation is same. For mechanical waves the product of frequency and wavelength is speed of the wave. That always has the same value for the same medium depending upon the mechanical property of the wave.
Conclusion: Therefore, no it is possible for two waves to have different speed of two waves that are travelling on the same string.
(d)
Two waves travelling on the same string can have different amplitudes or not.
Explanation of Solution
The amplitude of a wave is the maximum variation of the wave from its original position.
When two waves are travelling on the same string according to different mechanical properties of the string the amplitude of the waves also varies. That means two waves can have different displacements even though they are propagating in same string.
Conclusion: Therefore, yes it is possible for two waves to have different amplitudes of two waves that are travelling on the same string.
(e)
Two waves travelling on the same string can have same frequency but different wavelengths or not.
Explanation of Solution
The frequency of the wave is the number of ups and down variation of wave from its mean position and the wavelength is the measuring parameter of any radiation and light.
For any mechanical wave speed is the product of its frequency and wavelength. Since in the same propagating medium the speed cannot be changed so the product of frequency and wavelength will also be same. But for same frequency and different wavelength the product of two waves will not be same.
Conclusion: Therefore, no it is possible for two waves to have same frequency but different wavelengths that are travelling on the same string.
Want to see more full solutions like this?
Chapter 15 Solutions
University Physics with Modern Physics, Volume 2 (Chs. 21-37); Mastering Physics with Pearson eText -- ValuePack Access Card (14th Edition)
Additional Science Textbook Solutions
Campbell Biology in Focus (2nd Edition)
Biology: Life on Earth (11th Edition)
Biology: Life on Earth with Physiology (11th Edition)
Genetic Analysis: An Integrated Approach (3rd Edition)
Human Biology: Concepts and Current Issues (8th Edition)
Microbiology with Diseases by Body System (5th Edition)
- You are standing a distance x = 1.75 m away from this mirror. The object you are looking at is y = 0.29 m from the mirror. The angle of incidence is θ = 30°. What is the exact distance from you to the image?arrow_forwardFor each of the actions depicted below, a magnet and/or metal loop moves with velocity v→ (v→ is constant and has the same magnitude in all parts). Determine whether a current is induced in the metal loop. If so, indicate the direction of the current in the loop, either clockwise or counterclockwise when seen from the right of the loop. The axis of the magnet is lined up with the center of the loop. For the action depicted in (Figure 5), indicate the direction of the induced current in the loop (clockwise, counterclockwise or zero, when seen from the right of the loop). I know that the current is clockwise, I just dont understand why. Please fully explain why it's clockwise, Thank youarrow_forwardA planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).arrow_forward
- What are the expected readings of the ammeter and voltmeter for the circuit in the figure below? (R = 5.60 Ω, ΔV = 6.30 V) ammeter I =arrow_forwardsimple diagram to illustrate the setup for each law- coulombs law and biot savart lawarrow_forwardA circular coil with 100 turns and a radius of 0.05 m is placed in a magnetic field that changes at auniform rate from 0.2 T to 0.8 T in 0.1 seconds. The plane of the coil is perpendicular to the field.• Calculate the induced electric field in the coil.• Calculate the current density in the coil given its conductivity σ.arrow_forward
- An L-C circuit has an inductance of 0.410 H and a capacitance of 0.250 nF . During the current oscillations, the maximum current in the inductor is 1.80 A . What is the maximum energy Emax stored in the capacitor at any time during the current oscillations? How many times per second does the capacitor contain the amount of energy found in part A? Please show all steps.arrow_forwardA long, straight wire carries a current of 10 A along what we’ll define to the be x-axis. A square loopin the x-y plane with side length 0.1 m is placed near the wire such that its closest side is parallel tothe wire and 0.05 m away.• Calculate the magnetic flux through the loop using Ampere’s law.arrow_forwardDescribe the motion of a charged particle entering a uniform magnetic field at an angle to the fieldlines. Include a diagram showing the velocity vector, magnetic field lines, and the path of the particle.arrow_forward
An Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning