Two travelling waves are defined: P+ = cos(kx-wt) and 4 = cos(kx+wt) Calculate the sum, 7++, and make sketches of the wave as a function of x for various times (t=0, T/4, T/2, etc). Describe the motion of the wave. What is the repetitive period?
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- The figure is a history graph at x=0m of a wave moving to the right at 2.0 m/s. Part A What is the amplitude of this wave? Express your answer in centimeters to two significant figures. Part B What is the frequency of this wave?Express your answer in hertz to two significant figures. Part C What is the wavelength of this wave? Express your answer in meters to two significant figures.b. How would a wave that has a greater FREQUENCY and the same amplitude look? Sketch you idea on the grid below.QUESTION 6 Which of the following statements correctly describe dispersive waves? a. In the dispersion relation a=ck, the velocity of the propagating wave is independent of the wave number k. b. In the dispersion relation w =ck, the frequency of the propagating wave is depending on the wavelegth O c. In the dispersion relation m=ck the velocity of the propagating wave is depending on the wave number . d. In the dispersion relation w=ck, the frequency of the propagating wave is independent of the wavelength À.
- the wave function of a standing wave is given by A. 2Asin(kx)cos(wt) B. Asin(kx)cos(wt)Consider the surface density wave 01 = 010e (w+30-ar³/4) 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. 01 1. Using mathematical arguments show whether the pattern described by σ₁ is rotating clockwise or anticlockwise. 2. Using mathematical arguments show whether the pattern described by σ is a trailing or a leading spiral.Assume that your eye acts as a diffraction limited telescope with a round primary aperture of diameter D = 4.50 mm . Two lights are arranged to be perpendicular to your line 1. 20.0cm (assuming Rayleigh's criterion): of sight with a separation of s = If the lights emit at 1, = 630 nm what is the furthest distance that we will see them as two а. separate lights, d? b. If the lights emit at 1, = 440 nm what is the furthest distance that we will see them as two separate lights, d;?
- Use the PHET sim Wave on a String for questions 1-6. http://PHET.colorado.edu Play around and get familiar with the sim first. Be sure to try out all the buttons. 1. Are you familiar with longitudinal and transverse waves? Which type of wave is being shown by this sim? 2. Use arrows, or draw on the wave, to show what will happen when the amplitude is increased: 3. Use arrows, or draw on the wave, to show what will happen when the frequency is increased: 4. What direction does each individual part of the string move when a wave travels along it? 5. What direction does the actual wave move (hint, try pulse)?Solve the problem. PROVIDE THE GIVEN, REQUIRED, EQUATION, SOLUTION, AND FINAL ANSWER A Victorian parlor trick was to listen to the pitch of a fly’s buzz, reproduce the musical note on the piano, and announce how many times the fly’s wings had flapped in one second. If the fly’s wings flap, say, 250 times in one second. Find the (a) frequency of the motion and (b) period.The string in given image is 1.5 meters long and is vibrating as the first harmonic. The string vibrates up and down with 33 complete vibrational cycles in 10 seconds. Determine the frequency, period, wavelength and speed for this wave.
- A wave on a string propagates at 21m/s. The frequency is 23 Hz. 1) Calculate the wavelenght. (Express your answer in cm and to two significant figures.) 2)Calculate the angular wave number. (Express your answer to two significant figures.)A sound wave is modeled with the equation y=1/4cos2π/3 θ. 1. Find the period. Explain your method. 2. Find the amplitude. Explain your methodQUESTION 7 The mathematical expression of a wave is given by y = 4.2 m Sin ( 1.2 rad/m x – 9.6 rad/s t). What is the speed of the wave (in m/s)?