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

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

Explanation:

Given :

The length of the one end , frequency of the wave = 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,

∴ λ

Where speed of the standing wave.

also, ∴

where time take to fill entire length of the string.

Compare above both equation,

⇒   sec

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

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