A guitar string is `180 cm` long and has a fundamental frequency of `90 Hz`. Where should it be pressed to produce a fundamental frequency of `135 Hz`

Question

A guitar string is `180 cm` long and has a fundamental frequency of `90 Hz`. Where should it be pressed to produce a fundamental frequency of `135 Hz`

A guitar string is `180 cm` long and has a fundamental frequency of `90 Hz`. Where should it be pressed to produce a fundamental frequency of `135 Hz`?

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - `120 cm` from on end.
`f = (1)/(2L) sqrt((F)/(mu))`
as `F` and `mu` are fixed
`(f_(1))/(f_(2)) = (L_(2))/(L_(1))`
`L_(2) = (f_(1))/(f_(2)) L_(1) = (90)/(135) xx 180cm = 120 cm`
thus the string should be present at `120 cm` from an end

5 views Answered 2023-02-05 15:29