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Longitudinal Standing Waves and Resonances Namme 1. Give the relationship betwee

ID: 1401197 • Letter: L

Question

Longitudinal Standing Waves and Resonances Namme 1. Give the relationship between a wave's velocity, froqueney, and wavelength. Show that this equation is dimensionally correct. Note that a graph of vs. Lyshould bea straight ine What re its slope and -intercept? 2. Skesch the waves (using the method outlined in the Physieal Principles section) corresponding to the lowest three frequencies of vibration of the 30 em air colu shown below, What is the wavelength of the standing wave in each ease? If the speod of sound in air is 331 m's, what frequency is heard from each pipe? 30cm

Explanation / Answer

wave velocity = wavelength * frequency

dimention of the velocity = m/s

dimention of the wavelength = m

dimention of the frequency = 1/s

so,

dimention of the wavelength * frequency = m/s

so this equation is dimentional correct

slope = change in y axis / change in x axis

slope = w2 - w1 / t1 - t2 m/s

where

w1 and w2 are initial and final wavelength

t1 and t2 are initial and final period ad 1/f = period

y intercept is the point where the line intersect the y axis

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