Wave Motion 2 Question 10

10. A pipe open at both ends has a fundamental frequency f in air. The pipe is dipped vertically in water, so that half of it is in water. The fundamental frequency of the air column is now

(2016 Main)

(a) f2

(b) 3f4

(c) 2f

(d) f

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Answer:

Correct Answer: 10. (d)

Solution:

  1. Fundamental frequency of open pipe.

f=v2l

Now, after half filled with water it becomes a closed pipe of length l2.

Fundamental frequency of this closed pipe,

f=v4(l/2)=v2l=f



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