(a1) What is the algebraic expression for the difference in path lengths travele

Question

(a1) What is the algebraic expression for the difference in path lengths traveled by the sound waves in drawing 2? Express your answer in terms of the length L of one side of the square.

(b1) What is the algebraic expression for the difference in path lengths traveled by the sound waves in drawing 2 when destructive interference occurs? Express your answer in terms of the speed v of sound, the frequency f of the sound, and the integer variable n that can have the values 1,3,5,….

(c1) What is the single smallest frequency f that will produce both constructive interference in drawing 1 and destructive interference in drawing 2?

Explanation / Answer

L = 0.66 m, v = 343 m/s
a1) L
b1) L = (n - 1/2) = (n - 1/2)v/f

c1) L = (1/2)v/f

so f = v/(2L) = 260 Hz

(note in drawing 1, path difference at O = 0, so always constructive)

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.