Fundamental frequency of a sonometer wire is n. If the length and diameter of the wire are doubled keeping the tension same, then the new fundamental

Question

Fundamental frequency of a sonometer wire is n. If the length and diameter of the wire are doubled keeping the tension same, then the new fundamental

Fundamental frequency of a sonometer wire is n. If
the length and diameter of the wire are doubled
keeping the tension same, then the new fundamental
frequency is
A. `2n/sqrt(2)`
B. `n/(2sqrt(2))`
C. `sqrt(2)n`
D. `n/4`

Monjur Alahi

6 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 - b
If the length of the wire between the two bridges is l,
then the frequecy of vibration is
`n=1/(2l)sqrt(T/m)=1/(2l)sqrt(T/(pir^(2)d))`
If the length and diameter `(="radius"/2)` of the wire are
doubled keeping the tension same, then new fundamental
frequency will be `n/4`.

6 views Answered 2023-02-05 15:29