---
title: Frequency of a Standing Wave
topic: Waves
author: John Hopkinson
source: Phys 122 2017WT2 Tutorial 4
template_version: 1.4
attribution: standard
partialCredit: true
singleVariant: true
showCorrectAnswer: false
outcomes:
- 16.1.1.0
- 16.1.1.1
difficulty:
- undefined
randomization:
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taxonomy:
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span:
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length:
- undefined
tags:
- DM
assets:
- graph.png
part1:
type: number-input
pl-customizations:
rtol: 0.05
weight: 1
allow-blank: true
label: $f= $
suffix: Hz
part2:
type: number-input
pl-customizations:
rtol: 0.05
weight: 1
allow-blank: true
label: $f= $
suffix: Hz
part3:
type: number-input
pl-customizations:
rtol: 0.05
weight: 1
allow-blank: true
label: $f= $
suffix: Hz
part4:
type: number-input
pl-customizations:
rtol: 0.05
weight: 1
allow-blank: true
label: null
suffix: Harmonic
part5:
type: number-input
pl-customizations:
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label: null
suffix: Harmonic
myst:
substitutions:
params:
vars:
title: Frequency of a Standing Wave
units: Hz
---
# {{ params.vars.title }}
## Useful Info
f = 1/T is the frequency expressed in Hertz (Hz), where T is the period of an oscillation. You can find the period of an oscillation by finding the time interval over which any point on a periodic curve repeats (e.g. peak to peak).
## Part 1
Identify the frequency of the dashed wave shown in Fig. 1. Give a numerical answer and the units.
### Answer Section
Please enter in a numeric value in {{ params.vars.units }}.
## Part 2
Identify the frequency of the dotted wave shown in Fig. 1. Give a numerical answer and the units.
### Answer Section
Please enter in a numeric value in {{ params.vars.units }}.
## Part 3a
The two original sinusoidal waves are harmonics: they are generated by the same vibrating system. However, neither is the "fundamental" frequency (the lowest frequency/longest possible wavelength) of the vibrating system. Determine the frequency of the "fundamental" standing wave of the system, and then determine which harmonics of this wave each of the dashed and dotted waves correspond to.
Fundamental frequency is (number and units) =
### Answer Section
Please enter in a numeric value in {{ params.vars.units }}.
## Part 3b
The dashed line is the
(Enter an integer, i.e 1 for first Harmonic)
### Answer Section
Please enter a word.
## Part 3c
The dotted line is the
(Enter an integer, i.e 1 for first Harmonic)
### Answer Section
Please enter a word.
## Attribution
Problem is licensed under the [CC-BY-NC-SA 4.0 license](https://creativecommons.org/licenses/by-nc-sa/4.0/). ![The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.](https://raw.githubusercontent.com/firasm/bits/master/by-nc-sa.png)