Give the relationship between a wave's velocity, frequency, and wavelength. Show that this equation is dimensionally correct. Note that a graph of λ vs 1/f should be a straight line. What is its slope and y-intercept?

Give the relationship between a wave's velocity, frequency, and wavelength. Show that this equation is dimensionally correct. Note that a graph of λ vs 1/f should be a straight line. What is its slope and y-intercept?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 43P: (a) Seismographs measure the arrival times of earthquakes with a precision of 0.100 s. To get the...

See similar textbooks

Related questions

Q: ,5T 9T Consider a wave described by the wave function y (x,t) = 0.50m sin (m-1x + s-1 t +), find the…

Q: What is the meaning of the negative sign in the Fourier's Equation?

A: The minus sign accounts for the fact that heat flows from a higher temperature to a lower…

Q: Or) ^– Write an equation representing a linearly polarized wave with an angular frequency that…

A: Polarised wave means a wave in a plane.

Q: The intensity of a spherical waves decreases as the wave moves away from the source. If the…

A: Intensity of spherical wave Ir=I0r2

Q: The diagram below shows two points, A and B, on a wave train. If A and B are 2.25 cm apart then find…

A: Given Distance between point A and B d = 2.25 cm The wavelength is equal to 2/3 time the…

Q: re the wave patterns for various values of Awo and Ak same? If comment on the Phase velocity (Vp) of…

A: Given data:- 1) Are the wave patterns for various values of ∆w and ∆k the same? If not, why?2)…

Q: B K 1. Wavelength is the horizontal distance in the wave train. Determine the wavelength. A. A & D…

A: Solution:

Q: If a wave strikes a surface with an angle of 30⁰ with respect to the normal, what is the angle of…

A: If a wave strikes a surface with an angle i with the normal, then it will be reflected at an angle…

Q: Consider a wave described by the wave function y (x,f) = 0.50m sin (m 5T 9n s-t+ 4 ), find the…

A: By equation 2πft = (9π/4)t

Q: The path difference between two waves is 6m. If the wavelength of the waves emitted by the two…

A: We have the relation: phase difference=2πλ×path difference

Q: What is it that waves in the Schrödinger wave equation?

Q: For the given boundary, what is the angle between the incident and reflected wave ? incident wave…

A: When a wave travelling in a medium reaches an obstacle or a boundary, it is reflected from the…

Q: Is Hugen's principle valid for longitudinal sound waves?

A: Huygens’ principle states that all points of a wavefront are sources of wavelets spreading in all…

Q: Write the real life examples of total internal reflection. ii) The resultant intensity due to the…

A: When a ray of light travels from denser medium to rarer medium, it is tend to refract away from the…

Q: Find and sketch the amplitude spectrum of the following signal, where T is a constant: s(t): t-nT if…

Q: A transverse wave with a frequency of 871 Hz ,6.00 m wavelength, and 8.00 mm amplitude is…

Q: 15.24. Afellow student with a mathe wave function of a traveling wave 2.30 mm cos[(6.98 rad/m)x +…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Determine the first three standing wave frequencies of a 35-cm-long onen-oner

A: Length = l = 35 cm =0.35 m Assume speed of sound = V=330m/s

Q: Consider two waves that are superposing f1(x) = Asin(kx) f2(x) = Asin(kx+π/4) What is the…

Q: Choose from the list A to D below, the graph which best describes the variable y in relation to x in…

A: Newton's law of cooling states that the rate of heat loss of a body is directly proportional to the…

Q: A diver below the surface of a lake hears the sound of the siren of a boat on the surface just above…

Q: What is the intensity of a 120 -W light bulb at a distance 6 cm from the bulb's center?

A: Given that: P=120 W d=6 cm =0.06 m

Q: 1. Mac and Tosh are resting on top of the water near the end of the pool when Mac creates a surface…

Q: Blue light has a frequency of about 7.5 x 10^14 Hz. What is the corresponding wavelength?

A: The expression for the wavelength is,

Q: Why there are certain frequenciesat which the amplitudeof the wave becomes incredibly high

A: There are certain frequencies called resonant frequencies at which the amplitude of a wave becomes…

Q: In the figure, the quantity w is called O a) period Ob) frequency c) wavelength d) amplitude

A: From the figure, W is the distance between the two successive crests. Definition of wavelength: The…

Q: What is the velocity of a wave of any kind that has a frequency 168 Hz and a wavelength 7 meters?

A: Given data :- frequency n = 168 Hz wavelength λ= 7 m

Q: Provide with great detail, what Interference of waves in two dimensions are.

Q: Consider a wave described by the wave function y (x,f)=D0.85m sin (- -1 m. 5T st+), find the -1 4…

A: Required : Frequency of the wave.

Q: Prove that the distance between two successive small ends of a standing wave in a lossless…

Q: 8 Tt Consider a wave described by the wave function y (x,t) = 0.65m sin ( -쓸), find the 5 frequency…

A: given equation, if compared with standard equation, y = A sin(kx+wt+theta) w = 8π /3

Q: The Fourier transform of a function f (x) is defined as: f (w) = Lf(x)e¬iwx dx Similarly, the…

Q: What is the profile graph of Wavelength vs Reciprocal of frequency? Is it Linear, Parabolic,…

A: Frequency and wavelength are inversely proportional to each other. Wavelength = speed /frequency…

Q: ULF (ultra low frequency) electromagnetic waves, produced inthe depths of outer space, have been…

A: The period of the wave is given by T=λc

Q: If the Earth-moon distance is 3.8 x 108 m, how much time would elapse between the sending of a radar…

A: We have givenDistance between earth annd moon (d)=3.8×108 m

Q: Define each of the following wave phenomena, and give anexample of where each occurs: (a)…

A: Refraction :- When the wave changes its original direction to other direction from one mean medium…

Q: For the given boundary, what is the angle between the incident and reflected wave ? Free Boundary…

A: At open end there is reflection with zero phase change

Q: Find the ratio of the maximum wavelength to minimum wavelength for waves having frequencies in the…

A: Given data *The given frequency is v1=4.5×109 Hz *The another given frequency is v2=2.5×1010 Hz *The…

Q: Consider a wave described by the wave function y (x,t)=D0.65m sin 6T m x+ -1 8TC St+), find the…

A: standard emwave equation is given by y(x,t)=A0sin(kx+ωt+ϕ)where A0 is Amplitude of wavek is wave…

Q: What is the speed of a wave with a wavelength of 2.0 m and a frequency of 210 Hz? Your answer: O…

A: λ=Wavelength=2 mf=Frequency=210 Hz

Q: Imagine you are at a location where some incident light source provides light at an intensity of 10…

Q: If y = 0.3 sin pi (120t - .4x) what is the wavelength of the wave

A: The general equation of a sinusoidal wave traveling in the positive x-direction is given by…

Q: A wave has a wavelength of 3 meters and frequency of 60 Hz. What is the speed of the wave? Your…

A: Given data: Wavelength λ= 3 m Frequency f=60 Hz

Q: QUESTION 25 If d is the path difference between two waves, and A is the wavelength, what is the…

A: The path difference for the constructive interference of two waves must be an integer multiple of…

Q: 1. (1) Derive one dimensional time-independent Schrödinger equation from the classical wave equation…

A: Since you have posted multiple separate questions in a single session, as per Bartleby Q&A…

Q: Which statement identifies a true relationship between the various wave components? If amplitude…

A: A disturbance that moving from one location to another location through a medium is known as a wave.…

Q: Which of the following phase shifts will result in destructive interference of two identical waves?…

A: We know that for constructive interference the path difference between them should be:- ∆x=nλ Where…

Concept explainers

Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).

Question

100%

Give the relationship between a wave's velocity, frequency, and wavelength. Show that this equation is dimensionally correct. Note that a graph of λ vs 1/f should be a straight line. What is its slope and y-intercept?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

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

Is the formula to be used is v=s/t? If so the answer is 2.07 m/s. However, my teacher told me to use the wavespeed formula that lamda= 2583 cm and frequency is 0.04 Hz. However I think that is wrong. I asked her why lamda is 2583 if it clearly states that the 2583 is the length of the pool not the wave itself. She told me that wavelength and distance is the same. But still I rejected. Is wavelength and distance the same? If not how are they different
Obtain the sign y (t) = x (t) * x (t) * x (t) for x (t) = u (t - 2) --u (t + 2) and plot both signals. What is the relationship between the time bands of the x (t) and y (t) signals? Explain.
Ex. 955. Given a zero-centered delta function of area 71 volt-seconds. Evaluate the Fourier transform at f=7.0000 Hz. X bar (f) is a complex function: amplitude X(f) and angle part. ans:2
Ex. 947. Given x (t) =10 volts on the interval t=[[50,100] milliseconds and x(t)=0 elsewhere. where f is frequency in Hertz. X (f)_radians, evaluated at f=f0= 5 Hertz. ans:2 Determine the Fourier transform of x(t), which is X(f) Determine X(f) amplitude, and
Q.6. As a target is changing the angle from the view of a radar its velocity is observed as decreasing but its range is increasing and it follows sinusoidal(1+sin®). Calculate the doppler phase shift of a varying range of a target that increase by a change in angle from 0° upto 90°, for every 15°. If the initial range from the target is 100mt, and the frequency is 2GHZ. Prepare a table of range and phase values for all of them in an order from 0° upto 90°, with a change of 15°. Then plot the graph between angle, Change in range and phase shift. (Assume à is constant, and X-axis is Angle (0 to 90), Y-axis- Range, Phase shift)
Exg Find the F.T. of the rectangular pulse (gate function) f(t) = A rect ( ) = ATT (t/c) , I_ is the duration of the pulse. (wt
Q.6. As a target is changing the angle from the view of a radar its velocity is observed as decreasing but its range is increasing and it follows sinusoidal(1+sin®). Calculate the doppler phase shift of a varying range of a target that increase by a change in angle from 0°upto 90°, for every 15°. If the initial range from the target is 100mt, and the frequency is 2GHZ. Prepare a table of range and phase values for all of them in an order from 0° upto 90º, with a change of 15°. Then plot the graph between angle, Change in range and phase shift. (Assume à is constant, and X-axis is Angle (0 to 90), Y-axis- Range, Phase shift)
(a) The distance to a star is approximately 4.97 × 10¹8 m. If this star were to burn out today, in how many years would we see it disappear? years (b) How long does it take sunlight to reach Earth? minutes (c) How long does it take for a microwave radar signal to travel from Earth to the Moon and back? (The distance from Earth to the Moon is 3.84 x 105 km.) S
Sources A and B emit long-range radio waves of wavelength 380 m, with the phase of the emission from A ahead of that from source B by 90°. The distance rA from A to a detector is greater than the corresponding distance rB from B by 140 m. What is the magnitude of the phase difference at the detector?
The figure shows the circular wave fronts emitted by two sources, the wavelength for both idential waves is 1.4 m. What is the path-length difference at point Q, in meters? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
Prove that the spherical wave given by: ?(?,?) = (A ei k (r-vt))/r is indeed a solution of the three-dimensional wave equation Hint: Write the wave equation in spherical coordinates (therefore, you should use the Laplacian written in terms of r, ?, ?, and insert the solution given above into the wave equation.
Find the range in wavelengths (in vacuum) for visible light in the frequency range between 4x1014 Hz (red light) and 7.9 x1014 Hz (violet light). Express the answers in nanometer. (1 nm = 10-9m)