question archive In a stretch string fixed at both ends, the seventh harmonic occurs at 90 Hz

In a stretch string fixed at both ends, the seventh harmonic occurs at 90 Hz

Subject:PhysicsPrice:4.89 Bought3

In a stretch string fixed at both ends, the seventh harmonic occurs at 90 Hz. Assuming the speed of

transverse wave in the string is 30 m s , find the length of the string.

 

The length of a pipe with one end closed is 20.0 cm. If the speed of sound in air is 330 ms

find the three lowest frequencies for the sound emitted when one blows across the open end of the pipe.

pur-new-sol

Purchase A New Answer

Custom new solution created by our subject matter experts

GET A QUOTE

Answer Preview

  1. length of string =1.167 m
  2. 1st frequency =4500 Hz

2nd frequency =1125 Hz

3rd frequency =642.85 Hz

 

  1. f=nV/2L here f is frequency , n is harmonic number , V is wave speed , L length of string

90 =7*30 /2*L

L =1.167 m

2.first lowest frequency = V/(L/3)

=330/(0.2/3)

=4500 Hz

Second lowest frequency = V/(4L/3)

=330/(4*0.2/3)

=1125 Hz

first lowest frequency = V/(7*L/3)

=330/(7*0.2/3)

=642.85Hz