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21 July, 10:04

A guitar string is plucked and set into vibration. The vibrating string disturbs the surrounding air, resulting in a sound wave. Which of the following is correct? Group of answer choices If the temperature of air changes, the speed of the Wave in the string Doesn't change, but the speed of the Sound wave in air changes. Both the Wave in the string and the Sound wave in air are transverse waves. Both the Wave in the string and the Sound wave in air are longitudinal waves. The Wave in the string is longitudinal, the Sound wave in air is transverse.

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  1. 21 July, 10:24
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    a) True. The speed of the wave in the string does not depend on the temperature, but the speed of the wave the air depends on the Temperatue.

    Explanation:

    Let's analyze the vibration of the string, when the string is touched a transverse wave is produced whose speed is determined by the tension and density of the string

    V = √T/μ

    This wave advances and bounces at one of the ends forming a standing wave that induces a vibration in the surrounding air that therefore also produces a longitudinal wave whose velocity is a function of time

    v = 331 √ (1 + T/273)

    With this information we can review the statements given

    a) True. The speed of the wave in the string does not depend on the temperature, but the speed of the wave the air depends on the Temperatue.

    b) False. The wave in the string is transverse, but the wave in the air is longitudinal

    c) False. The wave in the string is transverse

    d) False. It's the other way around
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