2. A string with a length of 0.9m that is fixed at both ends a) What is the longest possible wavelength for the travelling waves that

Question

2. A string with a length of 0.9m that is fixed at both ends
a) What is the longest possible wavelength for the travelling waves that can
interfere to form a standing wave on this string?(First harmonic)
b) If waves travel at a speed of 120m/s on this string, what is the frequency
associated with the longest wave (first harmonic)?

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Dâu 3 years 2021-07-15T23:45:12+00:00 1 Answers 12 views 0

Answers ( )

  1. Nho
    0
    2021-07-15T23:46:44+00:00
    Reply

    Answer:

    a.) 1.8 metre

    b.) 66.67 Hz

    Explanation: Given that the

    Length L = 0.9m

    Wavelength (λ) = 2L/n

    Where n = number of harmonic

    If n = 1, then

    Wavelength (λ) = 2L = 2 × 0.9 = 1.8 m

    b.)

     If waves travel at a speed of 120m/s on this string, what is the frequency

    associated with the longest wave (first harmonic)?

    Given that V = 120 m/s

    V = Fλ

    But λ = 2L, therefore,

    F = V/2L

    F = 120/1.8

    F = 66.67 Hz

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