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Questions  

A stretched string of 1m length and mass 5×104kg is having tension of 20N. If it is plucked at 25cm from one end then it will vibrate with frequency

a
100 Hz
b
200 Hz
c
256 Hz
d
400 Hz

detailed solution

Correct option is B

As we know plucking distance from one end =l2p⇒25=1002p⇒p=2. Hence frequency of vibration n=p2lTm=22×1205×10−4=200Hz.

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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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