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Questions  

If the length of a stretched string is shortened by 40% and the tension is increased by 44%, then the ratio of the final and initial fundamental frequencies is

a
2 : 1
b
3 : 2
c
3 : 4
d
1 : 3

detailed solution

Correct option is A

Fundamental frequency in case of string is  n=12lTm⇒n∝Tl⇒n'n=T'T×ll'putting T'=T+0.44T=144100T  and  l'=l−0.4l=35l We get n'n=21

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A wire having a linear density of 5 g/m is stretched between two rigid supports with a tension of 450 N. It is observed that the wire resonates at a frequency of 420 Hz. The next highest frequency at which the same wire resonates is 490 Hz. Find the length of the wire. (in m)


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