A 80 cm long steel 2 g guitar string is adjusted to a tension of 900 N to tune t
ID: 1837520 • Letter: A
Question
A 80 cm long steel 2 g guitar string is adjusted to a tension of 900 N to tune to 220 Hz.
a) The linear density of the string is _____ g/m.
b) If the string is not in tune at 220 Hz, and one hears a beat frequency 3 Hz using a tuning fork, the possible frequencies of the un-tuned string are_____ Hz and _____ Hz.
c) To play the the 5th harmonic of 220 Hz, the distance from the bridge that the string is fingered is _____ m.
d) The frequency of the sound wave (in air) when the tuned string is played at full length is _____ Hz.
e) The wavelength of the sound wave striking the ear at 24 deg C from the tuned frequency of 220 Hz is _____ m.
Explanation / Answer
(A) linear density = mass / length
= 2g / 0.80 m = 2.5 g/m
(B) beat frequency = frequency diff
= |f - f0|
3 = |f - 220|
f = 217Hz Or 223 Hz
(C) it will be 1/5 times of length.
L' = 80/5 = 16 cm
(D) f = 220 Hz
(E) It will be same as 220 Hz.
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