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

Should be....

λ = 2(6)/3 = 4 m

Step-by-step explanation:

λ = 2L/n where n is the antinode

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

Answer 2

The wavelength of the standing wave is 3 m.

Step-by-step explanation:

Given that,

Length = 6 m

Nodes = 4

We need to calculate the wave length

Using formula of nodes

`L=(n)/(2)\lamda`

`\lambda=(2L)/(n)`

Where, l = length

n = number of nodes

`\lambda` = wavelength

Put the value into the formula

`\lambda=(2*6)/(4)`

`\lambda=3\ m`

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