# wavelength problem . need an explanation .

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Alen.m

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#1

The stationary wave pattern shown in figure 6 (please open the attachment to see the figure) is set up on a rope of length 3.0m. How would you calculate the wavelength of these waves?i'm all confused . I mean what formula would you choose to calculate the wavelengths .

Thanks .

Thanks .

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uberteknik

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#2

(Original post by

The stationary wave pattern shown in figure 6 (please open the attachment to see the figure) is set up on a rope of length 3.0m. How would you calculate the wavelength of these waves?i'm all confused . I mean what formula would you choose to calculate the wavelengths .

Thanks .

**Alen.m**)The stationary wave pattern shown in figure 6 (please open the attachment to see the figure) is set up on a rope of length 3.0m. How would you calculate the wavelength of these waves?i'm all confused . I mean what formula would you choose to calculate the wavelengths .

Thanks .

Where

= distance between end attachment points

= wavelength

= number of Anti-nodes set up on the rope.

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lerjj

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#3

(Original post by

Where

= distance between end attachment points

= wavelength

= number of Nodes set up on the rope (excluding the end attachment points).

**uberteknik**)Where

= distance between end attachment points

= wavelength

= number of Nodes set up on the rope (excluding the end attachment points).

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uberteknik

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(Original post by

Are you sure that's right? Given two nodes that computes a wavelength of 3m for this scenario- which doesn't seem right. Shouldn't it be number of antinodes?

**lerjj**)Are you sure that's right? Given two nodes that computes a wavelength of 3m for this scenario- which doesn't seem right. Shouldn't it be number of antinodes?

It should be the harmonic number which indeed corresponds to the anti-nodes! Corrected accordingly.

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Alen.m

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#5

in terms of phase different guys, how would you calculate phase difference between the particle vibrating at O and particle vibrating at B( there's odd number of nudes between them so the answer should be 180 but the text book says 225). any help would be much appreciated .

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uberteknik

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#6

(Original post by

in terms of phase different guys, how would you calculate phase difference between the particle vibrating at O and particle vibrating at B( there's odd number of nudes between them so the answer should be 180 but the text book says 225). any help would be much appreciated .

**Alen.m**)in terms of phase different guys, how would you calculate phase difference between the particle vibrating at O and particle vibrating at B( there's odd number of nudes between them so the answer should be 180 but the text book says 225). any help would be much appreciated .

^{o}or 180

^{o}.

Points on opposite sides of a node always vibrate in anti-phase. Two points between the same node or between alternate nodes (every other node) will always vibrate in phase.

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Alen.m

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Stonebridge

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(Original post by

didn't actually get that how would you get 225 as the answer?

**Alen.m**)didn't actually get that how would you get 225 as the answer?

The answer is 180, not 225.

All the points in any one loop are in phase in a

**stationary**wave. In adjacent loops they are 180 degs out of phase.

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#9

so should i consider the answer 180 as there's odd number of nodes between OB?

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(Original post by

so should i consider the answer 180 as there's odd number of nodes between OB?

**Alen.m**)so should i consider the answer 180 as there's odd number of nodes between OB?

The OC and AB pairs are in phase (0

^{o}): Both points are between the same nodes or there are an even number of nodes between the points.

OA, OB, AC and BC pairs are out of phase (pi/2 or 180

^{o}): The points are immediately either side of a single node or there are an odd number of nodes between the points.

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BigMuma

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#12

But in the textbook there are 2 progressive waves which make up the standing wave pattern it’s specifically asking for the progressive wave which is not the dotted line but the filled one, if it was asking for the standing wave phase difference, a much larger wave would be shown in the diagram with different points of interestPlease correct me if I’m wrong

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Stonebridge

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#13

(Original post by

But in the textbook there are 2 progressive waves which make up the standing wave pattern it’s specifically asking for the progressive wave which is not the dotted line but the filled one, if it was asking for the standing wave phase difference, a much larger wave would be shown in the diagram with different points of interestPlease correct me if I’m wrong

**BigMuma**)But in the textbook there are 2 progressive waves which make up the standing wave pattern it’s specifically asking for the progressive wave which is not the dotted line but the filled one, if it was asking for the standing wave phase difference, a much larger wave would be shown in the diagram with different points of interestPlease correct me if I’m wrong

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