The shortest distance between two points on a traveling wave that has a phase difference of (pi/3) is 5 cm. If the wave has a frequency of 500 Hz, what is the speed of the wave?
Correct answer: B. 150 m/s
- A. 300 m/s
- B. 150 m/s
- C. 300 cm/s
- D. 150 cm/s
Explanation
B is correct.Phase difference = 2pi/λ x Path differenceΔϕ = 2π/λ x Δxπ/3 = 2πf/v x 0.05 (v=fλ)π/3 = 2π(500)/ v x 0.05v= 150m/s
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About Wave Speed
Wave speed is the rate at which a disturbance or wave pattern travels through a medium, given by v = fλ, where f is frequency and λ is wavelength. Questions examine how speed changes between media, the relation among frequency, wavelength and period, and why wave speed is not the same as particle vibration speed.
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