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6 March, 17:34

A certain metal with atomic mass 2.4 * 10-25 kg has an interatomic bond with length 2.4 * 10-10 m and stiffness 45 N/m. What is the speed of sound in a rod made of this metal?

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  1. 6 March, 19:04
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    Given Information:

    Stiffness of the metal = s = 45 N/m

    Atomic mass of the metal = m = 2.4*10⁻²⁵ kg

    Interatomic bond distance = d = 2.4*10⁻¹⁰ m

    Required Information:

    Speed of sound = v = ?

    Answer:

    v = 3286.3 m/s

    Explanation:

    The speed of the sound in a rod made of this metal can be found using the following equation

    v = √ (s/m) * d

    Where s is the stiffness of the metal, m is the atomic mass of the metal, and d is the interatomic bond distance

    v = √ (45/2.4*10⁻²⁵) * (2.4*10⁻¹⁰)

    v = 3286.3 m/s

    Therefore, the speed of the sound in a rod made of this metal would be 3286.3 m/s
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