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A cord, 6 m long and fixed at both ends, supports a standing wave with a total of 4 nodes. What is the wavelength of the standing wave?

Respuesta :

Answer:

The wavelength of the standing wave is 3 m.

Explanation:

Given that,

Length = 6 m

Nodes = 4

We need to calculate the wave length

Using formula of nodes

[tex]L=\dfrac{n}{2}\lamda[/tex]

[tex]\lambda=\dfrac{2L}{n}[/tex]

Where, l = length

n = number of nodes

[tex]\lambda[/tex] = wavelength

Put the value into the formula

[tex]\lambda=\dfrac{2\times6}{4}[/tex]

[tex]\lambda=3\ m[/tex]

Hence, The wavelength of the standing wave is 3 m.

Answer:

Should be....

λ = 2(6)/3 = 4 m

Explanation:

λ = 2L/n where n is the antinode

n = 3 instead of 4 (4 is where the wave crosses zero)

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