Harmonics on a String

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

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

The figure represents a string of length L, fixed at both ends, vibrating in several harmonics. Which string shows the 4th harmonic?

• A

• B

• C

• D

• E

Tags

NGSS.HS-PS4-1

NGSS.HS-PS4-5

Standing waves are formed --

• by the superposition of two or more waves moving in opposite directions.

• by the superposition of two or more waves moving in the same direction.

• by the superposition of two or more waves moving in perpendicular directions.

• by the superposition of two or more waves moving in any arbitrary directions.

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

The moving black dot is called:

• a node

• an anti-node

• an anti-amplitude

• the wangy bit

Tags

NGSS.HS-PS4-1

What number harmonic is shown in A

• 1

• 2

• 3

• 4

Tags

NGSS.HS-PS4-1

Harmonics occur when a frequency is specific to a ‘natural frequency’ of an oscillator, producing patterns. Based on the picture, which harmonic in the picture illustrates the greatest frequency?

• Fundamental

• 2nd Harmonic

• 5th Harmonic

• All have the same frequency

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

The 4th Harmonic has a wavelength of 2 meters. The fundamental harmonic has a frequency of 2 Hz. What is the speed of waves on this string?

• 4 m/s

• 8 m/s

• 16 m/s

• 20 m/s

• 32 m/s

Tags

NGSS.HS-PS4-1