Question9.2 Questions
1. Define the following terms in your own words: KU C
(a) standing wave
(b) fundamental frequency
(c) node
(d) harmonics
Studdy Solution
STEP 1
What is this asking?
We need to define some fancy wave words: standing wave, fundamental frequency, node, and harmonics.
Watch out!
Don't mix up nodes and antinodes – they're opposites!
Also, remember that harmonics are multiples of the fundamental frequency, not just random frequencies.
STEP 2
1. Define Standing Wave
2. Define Fundamental Frequency
3. Define Node
4. Define Harmonics
STEP 3
Imagine a wave that looks like it's just vibing in place, not traveling anywhere.
That's a **standing wave**!
It's formed by two waves with the *same frequency* and *amplitude* traveling in *opposite directions*.
They interfere with each other, creating a cool pattern.
STEP 4
The **fundamental frequency** is like the lowest, most basic note a vibrating thing can make.
It's the simplest way something can wiggle back and forth.
We represent it as .
STEP 5
A **node** is a point on a standing wave that doesn't move at all.
It's like the wave is taking a break right there.
Think of it as a *zero-point* of the wave's motion.
STEP 6
**Harmonics** are like the fundamental frequency's musical family.
They're multiples of the fundamental frequency.
So, if the fundamental frequency is , the second harmonic is , the third is , and so on.
They add richness and complexity to a sound.
STEP 7
(a) **Standing wave:** A wave that appears stationary, resulting from the interference of two waves of the same frequency and amplitude traveling in opposite directions.
(b) **Fundamental frequency:** The lowest frequency at which a system can vibrate, represented as .
(c) **Node:** A point on a standing wave that remains stationary.
(d) **Harmonics:** Multiples of the fundamental frequency, adding complexity to a sound.
The second harmonic is , the third is , and so on.
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