12. 1/2 points | Previous Answers Tipler 18.P.D8. My Notes Ask Your Teacher A gu

Question

12. 1/2 points | Previous Answers Tipler 18.P.D8. My Notes Ask Your Teacher A guitar string is given a light pluck at its midpaint. A microphone on your computer detects the sound and a program on the computer determines that mast f the subsequent saund consists of a 153-Hz tone accompanied by a bit of sound with a 459-Hz tone. what are the two domin?nt standing-wave modes on the string? (Enter your answers from smallest to largest.) Plucking 8 string that is fixed at both ends i the middle res ults in an antinode at the midpoint of the string. Thus th primary modes of vibration will be those that have an antinode at the midpoint of the string. of the string-T eBook

Explanation / Answer

n = 1

n = 3 are the correct answers.

the first string vibrates with fundamnetal frequency.

so, n = 1

let the second string vibrates in nth harmonic.

we know,
fn = n*f1

==> n = fn/f1

= 459/153

= 3

so, the first string vibrates with one loop and the second strung vubrates with 3 loops.

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