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Consider the case of normal modes of vibration for the air column with only one end closed. What is the length of the air column for the fundamental harmonic?

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in Physics – Class 11 by (74.2k points)
Consider the case of normal modes of vibration for the air column with only one end closed. What is the length of the air column for the fundamental harmonic?

(a) λ/2

(b) λ

(c) 2λ

(d) λ/4

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Asked question is from Reflection of Waves topic in portion Waves of Physics – Class 11

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Right answer is (d) λ/4

The best I can explain: For the given condition wavelength is related to length by: λ = 4L/(2n+1).

∴ For fundamental harmonic n=0, & L = (2n+1)λ/4

= (0 + 1)λ/4

= λ/4.

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