Harmonics

Standing Waves: Pictured are Harmonics #1 - #5: The standing wave in the picture that has the lowest frequency is the _____ harmonic and it has _____ antinode(s).

• 1st; 2

• Fundamental; 1

• 3rd; 4

• 5th; 6

• 6th; 6

Tags

NGSS.HS-PS4-1

USE the picture: *Assume that the wave boundary in the picture is 5 meters. The harmonic PICTURED that has the shortest wavelength is the _____ harmonic and has a wavelength of _____ meters.

• 1st; 10 meters

• 2nd; 5 meters

• 4th; 2.5 meters

• 5th; 2 meters

• 10; 1 meter

Tags

NGSS.HS-PS4-1

The second Harmonic has a frequency of 4 Hertz.

The third Harmonic has a wavelength of 2 meters.

*Solve: The wave speed of the fundamental is:

• 24 m/s

• 18 m/s

• 16 m/s

• 12 m/s

• 9 m/s

Tags

NGSS.HS-PS4-1

The third Harmonic has a frequency of 12 Hertz.

The fundamental has a wavelength of 4 meters.

*Solve: The wave speed of the 2nd harmonic is:

• 24 m/s

• 18 m/s

• 16 m/s

• 12 m/s

• 9 m/s

Tags

NGSS.HS-PS4-1

The size of the wave boundary is where the wavelength is equal to the distance between the fixed ends of the oscillating string. Which Harmonic wavelength represents the size of the wave boundary?

• 1st harmonic

• 2nd harmonic

• 3rd harmonic

• 4th harmonic

• 5th harmonic

Tags

NGSS.MS-PS4-1

The # of wavelengths of the 3rd harmonic is:

• 2.5

• 2

• 1.5

• 1

• 0.5

Tags

NGSS.HS-PS4-1

Which Harmonic is described by: This Harmonic has 4 Antinodes and 5 Nodes.

• 2nd harmonic

• 3 harmonic

• 4 harmonic

• 5 harmonic

Tags

NGSS.HS-PS4-1

A fundamental harmonic has a 3.4 meter string length AND a wave speed of 33.3 m/s.

What is the FREQUENCY of this standing wave?

• 14.7 Hz

• 9.8 Hz

• 4.9 Hz

• 4.1 Hz

• 2.5 Hz

Tags

NGSS.HS-PS4-1

A string 2.40 m in length is oscillating in its first harmonic mode.

The frequency of oscillation is 7.80 Hz.

• 1.2 m

• 2.4m

• 3.6 m

• 4.8 m

• 6.0 m

Tags

NGSS.HS-PS4-1

A string 2.40 m in length is oscillating in its first harmonic mode.

The frequency of oscillation is 7.80 Hz. What is the SPEED of the wave?

• 9.4 m/s

• 18.7 m/s

• 37.4 m/s

• 43.2 m/s

Tags

NGSS.HS-PS4-1