d) What is the wavelength of the wave shown above? [Recall: The string is 5 mete

Question

d) What is the wavelength of the wave shown above? [Recall: The string is 5 meters long.

How many half-wavelengths are fit into the string? What does that mean the node-to-node distance

is?]

The period T of a standing wave is the time it takes for the wave to complete one full cycle. That is, for the

piece of string at, say, x = 1 m, to go from its maximum height down to zero down to its minimum height

back up to zero and back up to its maximum height. The frequency f of the wave is f = 1/T, the number of

periods that occur per unit time. The frequency of a standing wave is related to the wavelength of the wave

and the speed of the wave according to v = f?.

e) What is the frequency of this wave? The period?

f) Draw a standing wave on the string for a wave with wavelength ? = 10 m at a few different

times as was done earlier.

Allowed wavelengths for a string of length L fixed at the endpoints are ? = 2L/n, where n = 1, 2, 3, ...

g) In terms of the variables L and v, what are the allowed frequencies for standing waves on a

string.

Physics

h) How does

What is the wavelength of the wave shown above? [Recall: The string is 5 meters long. How many half-wavelengths are fit into the string? What does that mean the node-to-node distance is?] The period T of a standing wave is the time it takes for the wave to complete one full cycle. That is, for the piece of string at, say, x = 1 m, to go from its maximum height down to zero down to its minimum height back up to zero and back up to its maximum height. The frequency f of the wave is f = 1/T, the number of periods that occur per unit time. The frequency of a standing wave is related to the wavelength of the wave and the speed of the wave according to v = f?. What is the frequency of this wave? The period? Draw a standing wave on the string for a wave with wavelength ? = 10 m at a few different times as was done earlier. Allowed wavelengths for a string of length L fixed at the endpoints are ? = 2L/n, where n = 1, 2, 3, ... In terms of the variables L and v, what are the allowed frequencies for standing waves on a string. Physics How does 'tightening the string' (increasing the tension)

Explanation / Answer

d)L = 3(Lambda/2 )

Lambda = 2L/3 = 10/3 = 3.333m

e) f = v/lambda = v/3.333

T = 1/f = lamdba/v= 3.33/v


g) lambda = 2L/n

f = v/lambda = nv/2L

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