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10 March, 09:13

What is the fundamental frequency if the tension in the string is halved?

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  1. 10 March, 13:12
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    0.25 L (√ (T/2μ)

    Explanation:

    Process

    Let's say we have the following data set:

    f = f₁

    and let's assume that the length of the string is halved, which gives L₁ = 0.5 L

    Suppose the tension is halved, so the tension is 0.5 T

    Substituting in Fn = (n/2L) * (√T/μ)

    = (1/2*0.5L) (√0.5*T/μ)

    = 0.25 L (√ (T/2μ)

    In general, v/2 = 0.25 L (√ (T/2μ)

    v = 0.5 L (√ (T/2μ)

    As we can see, the tension is always being halved.
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