2) A 10.0-Hz water wave travels from deep water, where its speed is 38.0 cm/s, to shallow water, where its speed is 28.0 cm/s and 8₁ = 30°. Find a. the index of refraction. b. he wavelengths in the two media. c. the angle of refraction in the shallow water. (1.36) (3.8cm, 2.8cm) (21.6%)
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- 1. For the following functions f(r, t), which one are waves? For the ones that are waves, write down the speed of the wave and whether the wave is moving leftward or rightward. - (a) f(x, t) = 10 exp(30r - 15t²) (b) f(x, t)=-3 cos(2r² - 41²) (c) f(x, t) = 10√√x+1 (d) f(x, t) = 10 tan(z+t) exp(z-t)4. Consider the real parts of two waves that follow the equations; A₁ = A₁e¹(t+₁) and A₂ = A₂e¹(wt+$₂) Find the resultant amplitude.3) A student observing the ocean notes that n = 8 crests break in t = 4.6 minutes? a) Input an expression for the frequency of the waves. b) What is the frequency in hertz?
- 2. Superposition of waves moving in the same direction. Two traveling waves with the equations y₁ = A sin(kx-w₁t) and y₂ = A sin(k₂x - w₂t + p) are present in a medium. (a) Find the equation of the wave function resulting from the superposition of the two waves. (b) Describe the resulting superposition wave. Can it produce stationary waves? (c) If the speed of the waves in the medium is 6 m/s, and each wave has a wavelength of 2 m and 3 m, find the superposed wave function. Draw a wave function at t = 0 s if the phase difference (i) = 0°, (ii) = 90°, and (iii) 4 ) = 180°. (d) As in point (c), but both waves have the same wavelength, say 2 m.9.1. What is the wavelength of waves you create in a swimming pool if you splash your hand at a rate of 2.2 Hz and the waves propagate at 1 m/s? Wavelength, A:
- Cannot be hand-drawn, this physics solution must be typed out, and the explanation in the simplest manner.13. Two-point sources vibrate in phase at the same frequency. They set up an interference pattern in which a point on the second nodal line is 29.5cm from one source and 25.0 cm from the other. The speed of the waves is 7.5cm/s. a. Calculate the wavelength of the waves b. Calculate the frequency at which the sources are vibrating [2T] [2T]Which of the following conditions guarantees that two overlapping waves will exhibit the property of interference? O a. The waves must have the same frequencies. O b. The waves must be sinusoidal. O c. The waves must be coherent. O d. The waves must be in phase. O e. The waves must have the same amplitudes.
- 50.) A waves velocity can be calculated by dividing its frequency by its wavelength. a. true b. false3. The equation of a travelling wave is y = 5.0 sin -0.15x + 300t). Calculate (i) the 100 amplitude of the vibrating particle, (ii) wave velocity, (ii) wave length, (iv) frequency and (v) time period. 2.52. A traveling sinusoidal wave has this equation: y(x. t) = 0.0450 m sin(25. 12 m-x-37,68s-t-0.523) Find the following: b) Amplitude d) angular frequency b) wave number e) frequency C. wavelength ) phase angle