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29 May, 20:25

A guitar string produces 3 beats/s when sounded with a 350-Hz tuning fork and 8 beats/s when sounded with a 355-Hz tuning fork. What is the vibrational frequency of the string? Explain your reasoning.

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  1. 29 May, 22:38
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    347 Hz

    Explanation:

    Let the vibrational frequency be f.

    so, f = 350 + 3 or 350 - 3 = 353 Hz or 347 Hz

    And

    f = 355 + 8 or 355 - 8 = 363 Hz or 347 Hz

    So, 347 is common in both the cases,

    Thus, the vibrational frequency is 347 Hz.
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