Question

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Answer 1

Answer: 9.675 Hz .

Step-by-step explanation:

Given, velocity of waves = 12.9 m/s

Length of string = 2.00 m

Let
`\lambda` be the wavelength , then for 3 loops

`(3)/(2)\lambda= \text{length of string}\\\\\Rightarrow\ (3)/(2)\lambda= 2\ m\\\\\Rightarrow\ \lambda= (4)/(3)\ m`

Now , velocity = frequency x wavelength

Then, frequency =
`(velocity)/(wavelength)`

`=(12.9*3)/(4)\\\\=9.675\ Hz`

hence, it will create standing waves with 3 loops at 9.675 Hz .