Question

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?

Answer 1

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

$L=\dfrac{n}{2}\lamda$

$\lambda=\dfrac{2L}{n}$

Where, l = length

n = number of nodes

$\lambda$ = wavelength

Put the value into the formula

$\lambda=\dfrac{2\times6}{4}$

$\lambda=3\ m$

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

Answer 2

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)