Because of barriers and obstructions you can see only a tiny fraction of a stand

Question

Because of barriers and obstructions you can see only a tiny fraction of a standing wave on a string. You do not know, for instance, how long the string is. All you know is that the speed of waves on the string is 100 m/s and that the distance ? in the sketch is 10 cm. All you know is that the speed of waves on the string is 100 m/s and that the distance ? in the sketch is 10 cm. Can you determine the frequency of the standing wave?

[The sketch shows a standing wave with 3 visible nodes, with half of a wavelength cut off on both sides: hence the pattern is half oval, node, full oval, node, full oval, node, half oval. The "L" is the distance of one entire full oval, from one node to the next.]

1. Sure, the frequency is 500 Hz.
2. No, you have no way to know the number
of nodes, for instance.
3. Sure, the frequency is 10 Hz.

Explanation / Answer

Hi Steven,

As i can not see the image you have provided,then too i would like to add my inputs.

If it is one wave-length, then yes you can determine the frequency. (If L is an obvious portion or multiple of a wavelength, so that you can determine the wavelength from it, then of course that will work too.)

frequency = speed / wavelength (formula for calculating the frequency)

Let me kno wif you have any issues.

Regards,

Tripti

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