A Wire Of Uniform Cross-section Is Stretched Between Two Points 1 mapart. The Wire Is Fixed At One End And A Weight Of 9 Kg Is Hung Over A Pulley At The Other End Produces Fundamental Frequency Of 750 Hz. (a) What Is The Velocity Of Transverse Waves Propagating In The Wire? (b) If Now The Suspended Weight Is Submerged In A Liquid Of Density (5/9) That Of The Weight, What Will Be The Velocity And Frequency Of The Waves Propagating Along The Wire?

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A wire of uniform cross-section is stretched between two points 1 mapart. The wire is fixed at one end and a weight of 9 kg is hung over a pulley at the other end produces fundamental frequency of 750 Hz. (a) What is the velocity of transverse waves propagating in the wire? (b) If now the suspended weight is submerged in a liquid of density (5/9) that of the weight, what will be the velocity and frequency of the waves propagating along the wire?


Correct option is

1500 m/s & 1000 m/s


(a) In case of fundamental vibrations of string ,

 i.e., λ = 2 × 1 = 2 m. 

Now as   


(b) Now as in case of a wire under tension   


Further as here λ = const. = 2 m so from v = f λ,


i.e., in this situation,





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