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22 March, 07:51

A certain string on a piano is tuned to produce middle c (f = 261.63 hz) by carefully adjusting the tension in the string. for a fixed wavelength, what is the frequency when this tension is tripled?

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  1. 22 March, 08:34
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    Frequency and wavelength are two variables which are indirectly proportional.

    They are related in the following equation:

    f = c / w

    Where,

    f = frequency c = speed of light w = wavelength

    Since c is constant, we can equate condition 1 and condition 2:

    f1 w1 = f2 w2

    When w2 = 3 w1, then f2 becomes:

    261.63 w1 = f2 (3 w1)

    Cancelling w1:

    f2 = 261.63 / 3

    f2 = 87.21 Hz
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