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A pipe is open at both ends. What should be its length such that it resonates a 10Hz source in the 2nd harmonic? Speed of sound in air = 340m/s.

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A pipe is open at both ends. What should be its length such that it resonates a 10Hz source in the 2nd harmonic? Speed of sound in air = 340m/s.

(a) 34m

(b) 68m

(c) 17m

(d) 51m

The question was posed to me during an interview.

My query is from Reflection of Waves topic in portion Waves of Physics – Class 11

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Right answer is (a) 34m

The best I can explain: For a pipe open at both ends frequency ‘f’ = nv/2L, where n is speed of sound.

Given: f = 10 & n=2.

∴ 10 = 2*340/2L

∴ L = 680/20

= 34m.

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