Standing waves are harmonic waves with equal amplitude, wavelength, and frequency that are moving in opposite directions. They have a phase constant of 0. Standing waves have nodes where the amplitude is 0 and antinodes where the amplitude is at a maximum of 2A. The distance between nodes is half the wavelength, as is the distance between antinodes. An example problem calculates the length of a water pipe with a standing wave pattern by determining the wavelength from the given frequency and speed, and using the node and antinode spacing to relate the length to the wavelength.
My Learning object describes what standing waves are, how to determine where the nodes and antinodes of a standing wave are and also about the fundamental and resonant frequencies. Their is a variety of questions from multiple choice, to true and false and also a problem solving question.
Physics 101 LO6 which explains the components of standing waves, generates its equation, and tests the understanding of students by creating a practice problem with a worked solution in the end.
My Learning object describes what standing waves are, how to determine where the nodes and antinodes of a standing wave are and also about the fundamental and resonant frequencies. Their is a variety of questions from multiple choice, to true and false and also a problem solving question.
Physics 101 LO6 which explains the components of standing waves, generates its equation, and tests the understanding of students by creating a practice problem with a worked solution in the end.
A presentation covering some of the basics of standing waves and the differences between standing and travelling waves. Practice questions are included at the end.
Please download the presentation in order to see the gifs.
In this presentation, I explain what a standing wave on a string is, the difference between a standing wave and a travelling wave, and go over some practice problems.
This Learning Object 6 is based on Standing Waves. It gives a detailed description about what a standing wave is and how standing waves are formed. As well, the equations necessary to break down standing waves to get the amplitude, nodes, antinodes, etc are all included. Furthermore, a practice question is included along with a detailed solution to solve the problem with ease.
For my LO, I gave some general equations which can be applied for standing wave questions and explained about the pattern of first, second, third harmonic. Then, I gave examples of different standing wave types found in instruments by clarinet and flute. I used a powerpoint to display my learning objective.
A presentation covering some of the basics of standing waves and the differences between standing and travelling waves. Practice questions are included at the end.
Please download the presentation in order to see the gifs.
In this presentation, I explain what a standing wave on a string is, the difference between a standing wave and a travelling wave, and go over some practice problems.
This Learning Object 6 is based on Standing Waves. It gives a detailed description about what a standing wave is and how standing waves are formed. As well, the equations necessary to break down standing waves to get the amplitude, nodes, antinodes, etc are all included. Furthermore, a practice question is included along with a detailed solution to solve the problem with ease.
For my LO, I gave some general equations which can be applied for standing wave questions and explained about the pattern of first, second, third harmonic. Then, I gave examples of different standing wave types found in instruments by clarinet and flute. I used a powerpoint to display my learning objective.
MAHARASHTRA STATE BOARD
CLASS XI and XII
CHAPTER 6
SUPERPOSITION OF WAVES
CONTENT:
Introduction
Transverse and
longitudinal waves
Displacement relation in a
progressive wave
The speed of a travelling
wave
The principle of
superposition of waves
Reflection of waves
Beats
Doppler effect
CBSE Physics/ Lakshmikanta Satapathy/ Wave Motion Theory/ Reflection of waves/ Traveling and stationary waves/ Nodes and anti-nodes/ Stationary waves in strings/ Laws of transverse vibration of stretched strings
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2. Standing waves are harmonic waves with equal amplitude,
wavelength, and frequency that are moving in opposite
directions of each other
Phase constant is 0 (for mathematical simplicity)
Represented by:
If two 2 standing waves are moving, each segment of the string
oscillates in SHM with frequency and amplitude varying along the
string
For a string oscillating in a standing wave:
What is it?
3. • Since amplitude is a sine function of position, there are point
on the strong that have 0 amplitude
• Node: Amplitude equals 0; A(x)=0
• Location of nodes:
A(x)=0
The distance between two
consecutive nodes
Is half of the wavelength
Nodes
4. Antinodes
Antinode: the points where it is moving at maximum
amplitude (2A)
Location of antinodes:
The distance between two
consecutive nodes
Is half of the wavelength
6. As illustrated below, a water pipe has a standing wave
pattern with 4 nodes and 4 antinodes. The frequency of
sound is 250 Hz and a sound wave travels with a speed of
300m/s
7. What is the length of the water tube?
Question 1
8. Since the distance between consecutives antinodes is half a
wavelength and the distance between an adjacent node and
antinode is a quarter of a wavelength (see diagram)
7/4(λ)= L
So first we need to find λ:
V=λ f
λ =v/f=(300m/s)/(250Hz)
λ =1.2m
So back to 7/4(λ)= L
L= (7/4)(1.2m)
L=2.1m
Solution to Q1
