ct_week2

# What happens to the wave speed and wavelength 1 v

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Unformatted text preview: of the rope the largest? Explana/on: The correct answer is 3. The largest force is the point on the rope with the largest curvature (think about the string on a bow used to ﬁre an arrow). A sinusoidal wave is created by moving one end of a rope up and down with frequency f . You observe that the wave has wavelength λ and speed v. The tension in the rope is now increased, and a new wave is excited in the same manner as before. What happens to the wave speed and wavelength? (1) v decreases, λ decreases (2) v increases, λ decreases (3) v increases, λ increases (4) v decreases, λ increases (5) v increases, λ stays the same (6) v decreases, λ stays the same (7) Nothing changes Explana/on: The correct answer is 3. Because the tension isincreased, the wave speed increases. Since f is the same, λ must increase to sa/sfy f λ = v. Three waves travel on an iden/cal stretched cord (same mass density, same tension, same color…). Wave 2 has twice the amplitude of wave 1, but is other wise the same. Wave 3 has have the wavelength of wave 1, but is otherwise the same. Which wave travels the fastest? 1 2 3 4 All have the same speed Explana/on: The correct answer is 4. The wave speed only depends on tension and mass density...
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