Question

A 2.5 m string is clamped at both ends so that standing waves may be set up along its length. Standing waves are found to exist at frequencies of 112 Hz and 140 Hz. The string will not sustain standing waves at any frequency between 112 Hz and 140 Hz but may sustain standing waves at higher or lower frequencies.

Name: a 25 m string is clamped at both ends so that standing waves may be set up along its length standing waves are found to exist at frequencies of 112 hz and 140 hz the string will not sustain 79723
Uploaded: 2022-02-22T12:30:30-08:00
Duration: 1 min 47 s
Channel: Vivek K
Description: a 25 m string is clamped at both ends so that standing waves may be set up along its length standing waves are found to exist at frequencies of 112 hz and 140 hz the string will not sustain 79723

          A 2.5 m string is clamped at both ends so that standing waves may be set up along its length. Standing waves are found to exist at frequencies of 112 Hz and 140 Hz. The string will not sustain standing waves at any frequency between 112 Hz and 140 Hz but may sustain standing waves at higher or lower frequencies.

Added by Stacy V.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Vivek K

02/22/2022

Step 1

5 m) - n is the harmonic number (1 for fundamental frequency, 2 for first overtone, etc.) For the standing wave at 112 Hz: \[ \lambda_{112} = \frac{2(2.5)}{1} = 5 \text{ m} \] For the standing wave at 140 Hz: \[ \lambda_{140} = \frac{2(2.5)}{1} = 2.5 \text{ m} \] Show more…

Show all steps

Thanks for your feedback!

A 2.5 m string is clamped at both ends so that standing waves may be set up along its length. Standing waves are found to exist at frequencies of 112 Hz and 140 Hz. The string will not sustain standing waves at any frequency between 112 Hz and 140 Hz but may sustain standing waves at higher or lower frequencies.