Guitar String. One of the 63.5-cm-long strings of an ordinary guitar is tuned to produce the note B 3 (frequency 245 Hz) when vibrating in its fundamental mode. (a) Find the speed of transverse waves on this string. (b) If the tension in this string is increased by 1.0%, what will be the new fundamental frequency of the string? (c) If the speed of sound in the surrounding air is 344 m/s, find the frequency and wavelength of the sound wave produced in the air by the vibration of the B 3 string. How do these compare to the frequency and wavelength of the standing wave on the string?
Guitar String. One of the 63.5-cm-long strings of an ordinary guitar is tuned to produce the note B 3 (frequency 245 Hz) when vibrating in its fundamental mode. (a) Find the speed of transverse waves on this string. (b) If the tension in this string is increased by 1.0%, what will be the new fundamental frequency of the string? (c) If the speed of sound in the surrounding air is 344 m/s, find the frequency and wavelength of the sound wave produced in the air by the vibration of the B 3 string. How do these compare to the frequency and wavelength of the standing wave on the string?
Guitar String. One of the 63.5-cm-long strings of an ordinary guitar is tuned to produce the note B3 (frequency 245 Hz) when vibrating in its fundamental mode. (a) Find the speed of transverse waves on this string. (b) If the tension in this string is increased by 1.0%, what will be the new fundamental frequency of the string? (c) If the speed of sound in the surrounding air is 344 m/s, find the frequency and wavelength of the sound wave produced in the air by the vibration of the B3 string. How do these compare to the frequency and wavelength of the standing wave on the string?
Certain types of particle detectors can be used to reconstruct the tracks left by unstable, fast-moving sub-atomic particles. Assume
that a track with a length of L=2.97 mm in the laboratory frame of reference has been observed. Further assume that you
determined from other detector data that the particle moved at a speed of L=0.910 ⚫ c, also in the laboratory frame of reference. c
denotes the speed of light in vacuum. What proper lifetime would you determine for this particle from the data given?
T= 4.0
S
generated worksheet
While cruising down University Boulevard you are stopped by a cop who states that you ran a red traffic light. Because you don't
want to pay the stiff fine, you are attempting a physics defense. You claim that due to the relativistic Doppler effect, the red color of
the light λ=616 nm appeared green '=531 nm to you. The cop makes a quick calculation of his own and rejects your defense.
How fast, in terms of your speed u divided by the speed of light in vacuum c, would you have to drive to justify your claim? Note
that the speed u is taken to be a positive quantity.
U 4.0
C
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