Question A6 The phonon dispersion curve for sodium chloride in the [111] direction is shown below. The unit cell parameter is a = 5.6402 Å. Frequency (THz) 0 0.1 0.2 0.3 0.4 0.5 Reduced wavevector (EEE) What is the speed of sound for longitudinal vibrations in this direction?
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- b) Consider the surface density wave 01 = σι 010e² (wt+40+ar³) " [4 marks] where t is time, the azimuthal angle, which increases clockwise, and r the radial coordi- nate. w is the angular frequency (w > 0), a is a positive constant. 10 is the amplitude of the wave. 1. Using mathematical arguments show whether the pattern described by σ ₁ is rotating clockwise or anticlockwise. [5 marks] 2. Using mathematical arguments show whether the pattern described by σ is a trailing or a leading spiral. [5 marks] 3. Consider now a point Po at a distance r = 5kpc from the centre C of the spiral. The point Po is at a peak of the surface density wave. Going outward from Po along the line passing through C and Po, and using a = (3kpc) determine the distance between C and the next peak of the surface density wave. -3 [5 marks]Question 54.Two ambulances, each moving at 30 mph, are travelling towards each other. They are both emitting sound from a siren at 100kHz. What is the frequency of the ambulance siren as heard from the other ambulance? 6.The tidal acceleration due to the moon at the surface of the earth is approximately 2.44×10−5ms−2 If the moon was closer to the earth by a factor of 0.9. What then would the tidal acceleration be?
- solve please vvQuestion 2: #70 A wave on a string is described by the following equation: y (x, t) = (3.0 cm) * cos [2pi ( x / (2.4 m) + t / (0.20 s) ) ] where x is in m and t in s. Answer the following questions: a. In what direction is this wave traveling? b. What are the wave speed, frequency, and wavelength? c. At t = 0.50 s, what is the displacement of the string at x = 0.20 m?Part A Two steel guitar strings have the same length. String A has a diameter of 0.60 mm and is under 430.0 N of tension. String B has a diameter of 1.5 mm and is under a tension of 850.0 N . You may want to review (Pages 461 - 463) . Find the ratio of the wave speeds, vA/VB, in these two strings. Express your answer using two significant figures. Hνα ΑΣφ VA/VB = Submit Request Answer
- What is the equation that describes this relationship in the graph? What are the units of the slope, and what is the meaning of the slope? Explain!QUESTION 9 The mathematical form of a wave packet formed by linear superposition of sinusoidal waves with constant amplitude A and wave numbers in the range k - Akto k + A k Is: x + Ax а. w (x,t) = Acos (k't- @'t) dk X- Ax b. ck+ Ak y(x,t) = Acos (k'x – @'t) dk" k- Ak w + Aw C. y(x,t) = Acos (k'x – @ 't) do' ω-Δω O d. y(x,t) = Acos (k'x – @'t) dt' 1- At6. Determine the half-range sine series for the function defined by: x, 0helpplease answer the questions based on the wave equation: v=fλ a) What is the independent parameter? b) What is the dependent parameter? c) What parameter will you plot on your y-axis? d) If you perform a line of best fit, what will be your slope? e) How will get g from your line of best fit? What's the equation for g? f) What is the equation for the uncertainty in g? g) write a procedure for experimenting to measure gPart A Two steel guitar strings A and B have the same length and are under the same tension. String A has a diameter of 0.65 mm and string B has a diameter 1.17 mm. Treat the stretched-out strings as right cylinders with length L and radius r having volume n L. You may assume that both strings are made of the same material, so they have the same density. The ratio of the wave speeds, VA/VB, in the two strings is (enter your answer with two significant figures) possibly useful: density = mass/volume v = Af string fixed at both ends: An = 2L/n ; n = 1, 2, 3, 4, 5... %3D V = squareroot[F/µ) H = mass per unit length 1.8 Sumit Previous Answers Correct Part B The ratio of the eleventh harmonic frequency of string A to the eleventh harmonic frequency of string B, (111)A/(f11)B, is (enter your answer with two significant figures) 1.8 Bubm Previous Answers CorrectSEE MORE QUESTIONS