Wave Motion 2 Question 37

37. In a sonometer wire, the tension is maintained by suspending a 50.7kg mass from the free end of the wire. The suspended mass has a volume of 0.0075m3. The fundamental frequency of vibration of the wire is 260Hz. If the suspended mass is completely submerged in water, the fundamental frequency will become ….. Hz.

(1987, 2M)

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Answer:

Correct Answer: 37. 240

Solution:

  1. Fundamental frequency f=v2l=T/μ2l or fT

ff=wFw

Here, w= weight of mass and F= upthrust

f=fwFw

Substituting the values, we have

f=260(50.7)g(0.0075)(103)g(50.7)g=240Hz



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