Question

You are holding one end of an elastic cord that is fastened to a wall 3.0 m away. You begin shaking the end of the cord at 2.3 Hz , creating a continuous sinusoidal wave of wavelength 1.0 m. Part A How much time will pass until a standing wave fills the entire length of the string

Answer 1

Time take to fill the standing wave to the entire length of the string is 1.3 sec.

Step-by-step explanation:

Given :

The length of the one end
`x=`
`3m`, frequency of the wave
`f` = 2.3 Hz, wavelength of the wave λ = 1 m.

Standing wave is the example of the transverse wave, standing wave doesn't transfer energy in a medium.

We know,

∴
`v = f`λ

Where
`v =` speed of the standing wave.

also, ∴
`v=(x)/(t)`

where
`t =` time take to fill entire length of the string.

Compare above both equation,

⇒
`t =`
`(3)/(2.3)` sec

`t = 1.3sec`

Therefore, the time taken to fill entire length 0f the string is 1.3 sec.