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13 November, 19:12

A violin string has a length of 0.45 m it it turned to a frequency of 392 Hz. if the violinist wants to play a note with frequencyy of 440 hz where should she place her finger?

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  1. 13 November, 21:55
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    0.05 m from the top end

    Explanation:

    Data provided in the question:

    Length of the violin string, λ₁ = 0.45 m

    Frequency, f₁ = 392 Hz

    New frequency of the violin note, f₂ = 440 Hz

    Now,

    The velocity of the wave in the string remains constant constant if tension remains constant.

    Also,

    velocity, v = fλ

    thus,

    f₁λ₁ = f₂λ₂

    392 * 0.45 = 440 * λ₂

    or

    λ₂ = 0.40 m

    thus,

    The finger should be placed at (0.45 - 0.40) = 0.05 m from the top end
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