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Revised_STANDING_WAVES - STANDING WAVES Purpose To study...

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STANDING WAVES Purpose : To study the phenomenon of standing waves and to verify the relationship between velocity, force, wavelength, and frequency. Equipment : Electric vibrator with mounting clamp, string, pulley, desk stand, weights, meter stick. Introduction A string stretched between fixed supports separated by an arbitrary distance can be made to exhibit wave motion. A standing wave, whose nodes and antinodes (lobes) appear fixed (see figure), will result when the length of the string is an integer number of half wavelengths. L = n λ /2 (1) where L is the length of the string, n is the number of lobes observed, and λ is the wavelength of the wave. If we know the tension in the string and the linear density of the string we can determine the velocity of the wave by using the equation, v = (F/ μ ) 1/2 (2) where F is the tension in the string, and μ is the linear density of the string. We also know that v = f λ (3) where f is the frequency of the wave. Wavelength will be determined by measuring the length of the string and by counting the lobes.
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