The following statements refer to properties of standing sound waves in tubes. O

ID: 1787468 • Letter: T

Question

The following statements refer to properties of standing sound waves in tubes. One of the following statements is incorrect. Select it.

a) If a tube is open at both ends, the sound wave at the fundamental frequency has two antinodes.

b) If a tube is closed at one end and open at the other end, the second harmonic frequency is three times the fundamental frequency.

c) If a tube is open at both ends, the third harmonic frequency is three times the fundamental frequency.

d) The fundamental frequency is the same for a tube closed at both ends as for a tube open at both ends.

e) Halving the length of the tube halves the fundamental frequency.

(a) A tube with vibrating air that is open at both ends has antinodes at both ends. The fundamental frequency is

f = v/2L

Given statement is correct.

(b)there is no second harmonic for a closed-end air column

Given statement is incorrect.

(c)If a tube is open at both ends, the third harmonic frequency is three times the fundamental frequency.

n3 = 3 ( n1)

Given statement is correct

(d) Fundamental frequency for open ened tube is n1 = v /2L and for closed ended is n1 = v/4L

Thus, the given statement is incorrect.

(e) Fundamantal frequency is inversely proportional to length

Half the length, double its frequency.

Thus, the given statement is incorrect.

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