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Questions  

A wire length L and mass per unit length 6.0×103kgm1 is put under tension of  540N. Two consecutive frequencies that it resonates at are: 420Hz and 490Hz . Then L in meters is

a
1.1m
b
2.1m
c
5.1m
d
8.1m

detailed solution

Correct option is B

The difference in the frequencies of two successive harmonics is equal to fundamental frequency      n=490−420=70Hzn=12LTμ       ​⇒70=12×L5406×10−3   ​⇒L=1140×300=2.142 m

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Similar Questions

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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