Find the relation between the intensity and the corresponding energy density for a plane wave

Q: Consider the maximum transver speed of a particle in a wave and the wave speed .which of the…

A: (B) U maximum is always equal to v

Q: A string of length L with fixed ends is made to go into standing wave patterns. What is the longest…

A: Consider the wave pattern for the given standing wave of the string in fundamental vibrational mode…

Q: "Open-Closed" Resonator: with one open and one closed end he odd harmonics can be produced

A: speed of wave = wavelength x frequency  v = fλ

Q: Find the wavelength of an oscillator having a vertical displacement given by: y(x, t) = (6.00…

A:

Q: -iwit, The wave function is given by (x, t) = c[3e-i@it&1(x) + 4e-iw2t¢2(x)] where 1(x) and 2(x) are…

A: So we will basically calculate the average of energy by doing normalization. Then the square of the…

Q: QUESTION 24 For a diatomic linear chain, the phonon dispersion relation (k) has two branches…

A: CONCEPT:

Q: The above shows the graph of the function y(x) = sin(x) in red and the graph of another sine…

A: We will first define the period(wavelength) of a wave. Then we will find the period(wavelength) of…

Q: /what is the energy for the particle described by the wave function (x) A exp(±ikx) And wave along…

A:

Q: 2. For a potential "cliff" which is defined by I0. find the reflection coefficient if E = r< 0, as…

A:

Q: Given: Consider a water wave that moves at 0.800 m/s rate and has a frequency of 2.00 Hz. Calculate…

A: Given data: Velocity of wave is v=0.8 m/s. Frequency of wave is f=2 Hz.

Q: Write down the mathematical function for a wave whose maximum ampli- tude is 3 m, and which travels…

A: The amplitude of the wave, A= 3m Velocity, v= 350 m/s Linear frequency, f= 1000 Hz

Q: two ends of a wire of length L=π are fixed. At time  t=0  u (x,0)=s

A: Suppose the two ends of a wire of length L=π are fixed. At time t=0 function (u) is given by:-…

Q: Consider a one-dimensional disturbance, ψ1(x,t), which has a fixed profile and travels along the +x…

A:

Q: A homogeneous plane wave propagating in water in the positive z direction with an electric field of…

A:

Q: Given that λ = 2L/3. Use the wave equation to show that for the third harmonic, f = 3v/2L.

A: Given:- the wavelength λ = 2L/3.  Find:- Use the wave equation to show that for the third harmonic,…

Q: Acoustic wave is given in the following function. P(z.t)= 10 exp(20j(t-z/5)) Pa Calculate the…

A:

Q: (d) x(t) = sin(3pi t) (third harmonic sine) and h(t) = sin (4pi t) (fourth harmonic sine)   Answer…

A: Given :  Two function x(t) and h(t) . And t varies from 0 to 2 . Our task is to calculate the inner…

Q: Write two harmonic waves traveling in the same direction with a differential amount of difference…

A: Two harmonic waves traveling in same direction and with same amplitude with different angular…

Q: When n=1.5, k=0.1 and v=1014 Hz. Find (a) the wavelength inside the material and (b) the propagation…

A: (a) Given: The values of the parameters are n=1.5, k=0.1, and v=1014 Hz. Introduction: Wavelength is…

Q: he provided image shows vibrations from a car idle at 33 Hz. The fourier transform of the data is…

A: Fourier series that would represent the vibrational data would contain two frequencies of 15 Hz and…

Q: For surface tension waves in shallow water, the relation between frequency and wavelength is given…

A:

Q: Problem s: A photovoltaic array of (solar cells) is 10.0% efficient in gathering solar energy and…

A:

Q: Find the Fourier series of the following periodic waveforms. List the values for A1 to A4, and B1 to…

A:

Q: A student wants to establish a standing wave on a wire 3 m long clamped at both ends. If the wave…

A: The minimum frequency of fundamental mode (fmin) of a standing wave on a string tied at both ends…

Q: Expand this function in n faurier Series the function has a perio d I=2T 2. fox e人xん y TL TT/2<x< TT

A:

Q: sine wave traveling in the positive x-direction has an amplitude of 15 cm, a wavelength of 40 cm,…

A: Given that                      The Amplitude (A) = 15cm = 0.15m                      Wavelength λ…

Q: Show that p(t, x) = A sin (ωt − kx + φ) satisfies the wave equation.

A: To show that the given equation satisfies the wave equation. Given:The equation:px,t=Asinωt-kx+φ ...…

Q: Calculate frequency di

A: The transverse vibrations or frequency of string can be determined by melde's experiment.

Q: Write two harmonic waves traveling in the same direction with a differential amount of difference…

A: Given: Two harmonic waves traveling in the same direction with a differential amount of difference…

Q: by using this wavefunction az? 4 = Ce find the lowest energy level of harmonic oscillator

A: Given, wavefunction is, ψ=Ce-αx22 And hamiltonian of the harmonic oscillator is,…

Q: Calculate the period of oscillation of ?(x,t) for a particle of mass 1.67 × 10-27 kg in the first…

A: This question can be solved by using quantum mechanical equation.potential well formula

Q: The dispersion equation for Waves is: w2(k)=(A+Bk2)(A+Bk2+Ck3)  in the case when k<<B/C calculate…

A: Phase velocity and group velocity can be determined using following relations: vg=dωdkvp=ωk

Q: 12.20 Show that the Fourier series for |sinθ| in the range –π < 0 < π is given by M8 Σ | sin 0| m=1…

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Q: if the particle moving in a ____ potential then the solution of the wave equation are descibed as a…

A: The expression for the potential difference can be written as: V=Wq Here, W is the work and q is the…

Q: A free particle moving along positive x-axis encounter three regions as shown in the figure. The…

A:

Q: Using the general properties of the harmonic-oscillator wave functions y(x), evaluate the following…

A: The harmonic oscillator wave function for the nth energy level is given by:

Q: A Particle moving with a wave 13x function 4x=ne on a specified Pakh (0.0.5) on the X Find the…

A: Given, The wave function of the particle ψx =N ei3x  Range of x values:  x1=0 to x2=0.5; We have to…

Q: An elastic string with a mass per unit length of 0.0100 kgm–1 is

A:

Q: I need to solve a question within 15 minutes as quickly as possible

A: Introduction: Slotted lines can measure standing waves, wavelength, and, with some calculation or…

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).