A 120 cm length of string is stretched between fixed supports. What are the (a) longest, (b) second longest, and (c) third longest wavelength for waves traveling on the string if standing waves are to be set up? (d) Sketch those standing waves.

Blaine Ortega

Blaine Ortega

Answered question

2022-08-09

A 120 cm length of string is stretched between fixed supports. What are the (a) longest, (b) second longest, and (c) third longest wavelength for waves traveling on the string if standing waves are to be set up? (d) Sketch those standing waves.

Answer & Explanation

Izabella Fisher

Izabella Fisher

Beginner2022-08-10Added 14 answers

Given:
L=120cm
λ = 2 L n
(a) The longest wavelength for waves traveling on the string would be at n=l
By substitution we have
λ = 2 × 1.2 1 = 2.4 m
(b) The second longest wavelength for waves traveling on the string would be at n=2
By substitution we have
λ = 2 × 1.2 2 = 1.2 m
(c) The third longest wavelength for waves traveling on the string would be at n=3
By substitution we have
λ = 2 × 1.2 3 = 0.8 m
Result:
(a) λ = 2.4 m
(b) λ = 1.2 m
(c) λ = 0.8 m

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