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Questions  

The fundamental frequency of a sonometer wire of length  l is  f0. A bridge is now introduced at a distance  Δl from the centre of the wire Δl<<l . The number of beats heard if both sides of the bridge are set into vibration in their fundamental modes are :

a
8foΔll
b
foΔll
c
2foΔll
d
4foΔll

detailed solution

Correct option is A

We know fundamental frequency fo=v2l⇒v=2lfo Beat frequency,  f1−f2=v2l2−Δl−v2l2+Δl⇒ f1−f2=2fol4Δll2−4Δl2≈8foΔll

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