Question

37. If n,, n, and n, are the fundamental frequencies of three
segments into which a string is divided, then the original
fundamental frequency n of the string is given by-
[AIPMT 2000, 2012, 2014]
1 1 1 1
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Answer 1

Answer:

Explanation:

1n=1n1+1n2+1n3

1n−−√=1n−−√1+1n−−√2+1n−−√3

n−−√=n−−√1+n−−√2+n−−√3

n=n1+n2+n3`

Answer :

A

Total length of string l=l1+l2+l3

(as string is divided into three segments)

n1=12l1Tμ−−√,n2=12l2Tμ−−√,n3=12l3Tμ−−√

Hence frequency ∝1length(∵n=12lTm−−−√)

∴1n=2lTμ−−√=2l2Tμ−−√+2l3Tμ−−√=1n1+1n2+1n3

Answer 2

......hope it helps :)