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Frequency of a sonometer wire is n. Now its tension is increased 4 times and its length is doubled then new frequency will be 

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a
n/2
b
4n
c
2n
d
n

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detailed solution

Correct option is D

n∝1lT⇒n'n=T'T×ll'=4×12=1⇒n'=n


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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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