Harmonic Analysis

When a guitar is tuned to adjust its pitch, what is it that is changed?

• The wavelength of the fundamental.
• The frequency of the fundamental.
• The amplitude of the fundamental.

Tags

NGSS.HS-PS4-1

A stretched string is observed to have four equal segments in a standing wave driven at a frequency of 480 Hz.  What driving frequency will set up a standing wave with five equal segments?

• 600 Hz
• 360 Hz
• 240 Hz

Tags

NGSS.HS-PS4-1

The speed of propagation of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s.  Which one of the following is not a resonant frequency of this string?

• 25 Hz
• 50 Hz
• 100 Hz
• 200 Hz

Tags

NGSS.HS-PS4-1

A string of linear density 1.5 g/m is under a tension of 20 N.  What should be its length if its fundamental resonance frequency is 220 Hz?

• 0.26 m
• 0.96 m
• 1.1 m
• 1.2 m

Tags

NGSS.HS-PS4-1

Find the first three harmonics of a string of linear mass density 2.00 g/m and length 0.600 m when the tension in it is 50.0 N.

• 132 Hz, 264 Hz, 395 Hz
• 66 Hz, 132 Hz, 198 Hz
• 264 Hz, 528 Hz, 792 Hz
• none of the above

Tags

NGSS.HS-PS4-1

What is the frequency of the fundamental mode of vibration of a steel piano wire stretched to a tension of 440 N? The wire is 0.600 m long and has a mass of 5.60 g.

• 517 Hz
• 234 Hz
• 181 Hz
• 312 Hz

Tags

NGSS.HS-PS4-1

A 25-g string is stretched with a tension of 43 N between two fixed points 12 m apart. What is the frequency of the second harmonic?

• 6.0 Hz
• 12 Hz
• 18 Hz
• 24 Hz

Tags

NGSS.HS-PS4-1

A 0.588-m string is tightly clamped at both ends. If the lowest standing wave frequency of the string is  326 Hz, how fast do waves travel on this string?

• 383 m/s
• 475 m/s
• 582 m/s
• 724 m/s

Tags

NGSS.HS-PS4-1

A string that is 2.0 meters long is fixed at both ends and tightened until the wave speed is 18 m/s. What is the frequency of the standing wave shown in the figure?

• 27 Hz
• 54 Hz
• 81 Hz
• 110 Hz

Tags

NGSS.HS-PS4-1

A standing wave is oscillating at 950 Hz on a string, as shown in the figure. What is the wave speed?

• 380 m/s
• 570 m/s
• 290 m/s
• 190 m/s

Tags

NGSS.HS-PS4-1