Ch10_2
New Problems
reloads the page with new variable values in all questions. You must do this after grading the test to rework it another time.
Make sure to calculate your answers in SI units unless specified otherwise .
1) The length of a guitar string is
m
. What is the maximum wavelength of a standing wave on this string
(see sheet 19)
? Indicate with a positive (negative) sign whether this is the only allowed wavelength (there are many other allowed wavelengths which are fractions of the wavelength you calculated).
2) The traveling wave velocity on a string is
m/s
and the longest wavelength of a standing wave on the string is
m
. What is the frequency
(see sheet 19)
? Indicate with a negative (positive) sign whether you calculated the minimum (maximum) frequency of a standing wave on this string.
3) The traveling wave velocity on a
m
long string is
m/s
. What is the frequency of the th harmonic
(see sheet 19)
. Indicate with a positive (negative) sign whether the frequency you calculated is (is not) an integer multiple of the fundamental frequency ?
4) The standing sound wave in a pipe with one end open has a fundamental frequency of
Hz
. What is the length of the pipe
(see sheet 26,
use 343 m/s for the speed of sound
)
? Indicate with a negative (positive) sign whether all (only odd) integer multiples of the fundamental frequency are allowed.
5) A piano tuner hears a beat frequency of
Hz
when exciting a tuning fork with a
Hz
fundamental frequency close to a piano string. (Assume that the fundamental frequency of the tuning fork is the dominant frequency exciting the piano string.) What is the larger of the two possible string frequencies
(see sheet 30,31')
? Indicate with a negative (positive) sign whether you can (can not) calculate the other possible string frequency from the data given.
6) A string under tension is
m
long and weighs
grams
. The frequency of the second harmonic standing wave on the string is
Hz
. What is the tension of the string
(see sheet 20,22)
(Watch out! It is the mass per unit string length and not the total string mass that enters your calculation) ? Indicate with a negative (positive) sign whether the tension is higher (lower) if the
Hz
is the fundamental frequency.
Once you have submitted your answers for grading by clicking the grade button, you
cannot resubmit answers
for the same Problem Set--you must use the 'New Problems' button first.