Answer :

1/20.... Frequency and period are inverses so whatever frequency is, period is one over that number. And versa visa

The period of the string vibrating at  frequency of 20 Hz will be

[tex]T=\dfrac{1}{20} sec[/tex]

What is time period?

The time period is the time taken to complete one cycle in formula it is given by

[tex]T=\dfrac{1}{f} sec[/tex]

Here f= frequency

now to calculate time period we have f=20 Hz

[tex]T=\dfrac{1}{20} sec[/tex]

Hence The period of the string vibrating at  frequency of 20 Hz will be

[tex]T=\dfrac{1}{20} sec[/tex]

To know more about frequency and time period follow

https://brainly.com/question/1257736

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