3. Explain why the distance between two consecutive nodes of a standing wave correspond to the one- half the wavelength of a traveling wave.
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- 3. Bats emit ultrasonic waves with a frequency as high as 2.000 ×105 Hz. What is the wavelength of such a wave in air of temperature 25.00°C? in mm2. 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.7. Wave Characteristics - What is the speed of the wave? - 1.5 1.0 0.5 0.0 -0.5 -1.0 -1.50 10 15 20 25 30 35 40 x [meters] 1.5 1.0 0.5 0.0 -0.5 -1.0 -1.5 4 6. 10 t [seconds] y [meters] y [meters]
- 1. Calculate the speed of that wave. and compare with the speed of sound in the air. Given wavelength = 4 m resonant frequency = 80.13 Hz1. A wave has a length of 30.0 cm and a velocity of 2.5 cm/s. If it has a velocity of 3.70 cm/s when it enters a new medium, what is the wavelength?4. The 5th harmonic of a standing wave on a 6.0 m long string occurs at 900 Hz. What is the speed of the wave moving along this string?