eps would I take to better understand how D(x,t) = f(x - v t) + g(x + v t) could be a solution to the general wave equatio
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- Snapshot: 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)please 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 g7. 8. 9. PQ represents the boundary between regions I and II, having different depths, in a ripple tank containing water. Wave fronts are shown crossing the boundary. (a) (b) (c) (d) (e) I NOTE: v represents wave velocity A represents wavelength f represents frequency T represents period II (a) (b) (c) (d) (e) Which of the following correctly describes the waves in region II as compared to those in region I? In region II, f is the same, v is less, and A is less than in region I. In region II, f is the same, v is greater, and A is greater than in region 1. In region II, f is the same, v is greater. and A is less than in region I. In region II, v is the same, T is less, and A is less than in region I. In region II, v is the same, T is greater, and A is less than in region I. When two point sources placed a fixed distance apart vibrate in phase, nodal lines are produced. Which one of the following statements concerning these lines is incorrect? Energy is transmitted away from the sources…
- 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.Imagine you are at a location where some incident light source provides light at an intensity of 25 W/m^2. Now you move 5 time closer to the light source (aka your distance is 1/5 its initial value). What is the intensity of the light at this new locationThere are 4 waves of wavelengths: λ1 = 10m, λ2 = = 620 × 10⁹m, 12 = 450 × 10¯⁹m, λ4 = 30 x 10-10m. The subscripts in the answer part follow the same rule as it was given for the wavelengths: 1 refers to the 1st wave, 2nd refers to the 2nd waves, 3rd refers to the 3rd wave, 4 refers to the 4th wave. Select all that apply: the 4th wave is an UV radiation. The 2nd frequency corresponds to the radio wave range. All the wavelengths correspond to the electromagnetic spectrum only one wavelength is part of the visible spectrum The radiation with the highest energy is the 1st wave. The radiation with the highest energy is the 4th wave. The relation between their frequencies is f₁ f2 > f3 < f4 The speeds of the waved depends on their wavelength. The 1st frequency corresponds to the radio wave range.