A string is tied on both ends and under a tension FT. A standing wave is formed

Question

A string is tied on both ends and under a tension FT. A standing wave is formed on the string. For each of the following statements select the correct option: Increases, Decreases or Stay the Same And state WHY???
• When the amplitude of the wave is increased, the fundamental frequency .
• If the distance between the two fixed ends of the string is decreased, the wavelength that corresponds to the fundamental frequency .
• If the distance between the two fixed ends of the string is decreased, the fundamental frequency .
• When the tension of the string is decreased, the fundamental frequency .
• If the distance between the two fixed ends of the string is decreased, the wave speed

Explanation / Answer

• When the amplitude of the wave is increased, the fundamental frequency is stays same Since fundametal frequency is not depends on amplitude • If the distance between the two fixed ends of the string is decreased, the wavelength that corresponds to the fundamental frequency is decreased. Since length of the string = ( 1/ 2) wavelength length id decreased,So, wavelength is decreased. • If the distance between the two fixed ends of the string is decreased, the fundamental frequency is increased Since fundamental frequency is inversely proportional to its length • When the tension of the string is decreased, the fundamental frequency is decreased Since fundamental frequency is directly proportional to square root of its tension • If the distance between the two fixed ends of the string is decreased, the wave speed stays same Since wavespeed not depends on length

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