Prove that the following function f(x,t)=ABe-B(x-vt) satisfies the wave equation 82yət2=v2a2yox2 *
Q: Derive an expression for the phase velocity.
A:
Q: A student connects a speaker to the signal generator and sets the frequency to 500 Hz. He notices…
A: Given information: The frequency of the signal generator (f) = 500 Hz The length at which the first…
Q: Two identical 11Hz point sources S ₁ and S ₂ are found 4an unknown spacing apart. They release waves…
A: Two identical sources S1 & S2 Frequency of each (f)=11Hz Waves of wavelength (d)=0.50 m point A…
Q: A wave strikes a barrier at 40 degrees with respect to the normal,and then reflects off the barrier…
A: As per the law of reflection. When light is reflected from a surface, the angle of incidence is…
Q: The figure shows an air-filled, acoustic interferometer, used to demonstrate the interference of…
A: To solve this problem, we'll need to understand the concept of destructive and constructive…
Q: In Melde's experiment, when a stationary wave occurs, it turns out that the distance of 6…
A:
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: the velocity of wave propagation equal to C=λf prove that C=w/k
A:
Q: A 60-dB sound is reaching he eardrum with on area of 70 mm?. Find the energy received by ke eardrum…
A: Given that:- Loudness of sound=60dB
Q: A 110HE sinusoidal wave propagahing in he z-direchon The elechnc field points in he x-direchon E =…
A: Given values: Frequency f=110 Hz Maximum electric field Emax=26.5 V/m area a = 1 cm2 time t = 1 hr…
Q: P13.34 Show that the following pairs of wave functions are orthogonal over the indicated range. and…
A: If two functions are orthogonal over a range, then the integral of, product of these functions over…
Q: Consider a traveling wave described by this function: Π Απ y(x,t) = Asin(x- -t) At time t = 0, the…
A: We will first write a general expression for the travelling wave. Comparing with the given…
Q: Check if the following functions satisfy the classical wave equation: (a) y(x, t) = y0 cos(kx − ωt)…
A:
Q: (b) Consider the signal given by x[n] = e¹u[n]. Is the signal periodic? If so, what is the…
A: Given signal x[n]=ej2πn3Periodic Signal: A signal which repeats itself after a definite interval is…
Q: Describe a pulse traveling along a string of linear mass density u as a wave function, y(x), if the…
A: Given, Power carried by string is Px=μω3keπx
Q: (a) At time t = 0, summarize the y-values of the following functions for 1.5 – cm interval from æ =…
A: The wave equation is, ∂2y∂x2=kω2∂2y∂t2 where k is the wave number and ω is the angular frequency of…
Step by step
Solved in 3 steps with 7 images
- Prove by direct substitution that a Gaussian pulse given by y(x;t)=0.5e^[-(x-5t)^2] in MKS units is NOT the solution of wave equation (5 ∂x-∂t) y(x;t)=0.In the Vibrating Strings experiment, you measure L = 87.5 cm when n = 3. Given that f = 120 Hz, what is the wave speed, in m/s?A laser produces light waves with a beam intensity of 22 Wm-2. What will be the intensity if the average amplitude of the laser is increased by four times?
- Calc based physics The general wave function on a string is given by : Y(x,t) = Acos(Kx+wt+Q). Prove that the ratio of d2Y/dt2 over d2Y/dx2 is (w/k)2. Prove that w/k represents velocity.A carousel that is 6.00m in radius has a pair of 600Hz sirens mounted on posts at opposite ends of a diameter. The carousel rotates with an angular velocity of 0.900rad/s. A stationary listener is located at a distance from the carousel. The longest wavelength reaching the listener from the sirens is closest toSnapshot: This a snapshot at t = 2s of the wave function: Calculate or read from the graph: y(x,t) = Axsin 2 × sin [2x (1-1)] a) Amplitude A, the wavelength A and the wave number k. b) Determine all possible periods T consis- tent with the graph. For the largest pe- riod T calculate the speed of the propaga- tion v. In which direction does the wave propagate (in +x or -x)? c) What is the maximal speed and accelera- tion of the points along the wave? y(m) 2 1 1 2 3 4 x(m)
- 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?A standing wave us given by y(x,t) = 10cos(5(pi)t)*sin((2/3)(pi)x) find two waves that could be superimposed to generate this standing wave.Examine the wave function below. Suppose there is a point that goes from y = 2 mm to y = 6 mm. How long does it take for the point to make the move?
- Show by direct substitution that the exponential Gaussian function defined by ?(x,t) = ae-(bx-ct)^2 satisfies the wave equation: (?2?(?,?))/(?x2) = (1/v2) * (?2?(x,t))/(?t2) if the wave is given by the v = (c/b) and a, b, and c are constants.Please help me on sixth question according table and figure. Solve it using vectors.