QuestionReference
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A standing wave on a string is shown.
How many total nodes are present?
How many total anti-nodes are present?
How many wavelengths long is the standing wave?
Studdy Solution
STEP 1
What is this asking?
How many wiggles, wobbles, and in-betweens are in this wave picture?
Watch out!
Don't mix up nodes and antinodes!
Nodes are the still points, and antinodes are where the string moves the most!
STEP 2
1. Count the Nodes
2. Count the Antinodes
3. Measure the Wavelength
STEP 3
Alright, let's **count the nodes**!
Remember, nodes are the points on the string that *don't move at all*.
Look closely at the picture.
STEP 4
We've got one node at each end of the string, and... boom!
Two more nodes in the middle.
So, we have a total of nodes.
Four!
STEP 5
Now, let's **find those antinodes**!
Antinodes are where the string is doing its *wildest dance*, moving up and down the most.
STEP 6
Check it out!
We've got three of those wiggly wobbly antinodes.
So, we have antinodes!
STEP 7
Time to **measure the wavelength**!
A wavelength is the length of *one complete wave cycle*.
It's like one full wiggle, from up to down and back up again.
STEP 8
Imagine stretching out the wave so it's just one smooth curve.
The distance from one peak to the next peak is one wavelength.
Or, if you prefer, from one dip to the next dip, that's also one wavelength.
STEP 9
Now, look at the picture.
The whole string shows *one* complete up and down curve.
That means the standing wave is wavelength long!
STEP 10
There are **4** nodes. There are **3** antinodes. The standing wave is **1** wavelength long.
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