When you play the e string on a guitar it has a fundamental...

When you play the E string on a guitar, it has a fundamental frequency of 330 Hz. You then put your finger on a fret, making the length of the string shorter. When you play the string, which of the following will be true about the standing wave? Group of answer choices: the speed is different, the wavelength is shorter, the frequency is lower; the speed is different, the wavelength is the same, and the frequency is the same; the speed is different, the wavelength is the same, the frequency is the same; the speed is the same, the wavelength is shorter, and the frequency is higher; the speed is the same, the wavelength is longer, and the frequency is the same.

Transcript

00:01 Okay, so you're applying a guitar string with a fundamental frequency of 330 hertz.

00:06 That's the frequency for the first harmonic, the fundamental frequency.

00:10 And the first harmonic looks like this on the right with basically one loop, and it's going to oscillate back and forth like this when you pluck the guitar string.

00:19 You put your finger on the fret making the string shorter.

00:22 So what you're going to do is you're going to pinch it like halfway down maybe, and that's going to give you the second harmonic, which is basically cutting the string in half, and you're going to get two loops in this case.

00:36 So i don't love the wording of making the length of the string shorter, but the string is still the same length, but you've decreased the wavelength.

00:44 So you've made the wavelength smaller.

00:49 Okay, now, the guitar string itself is controlling the speed.

00:55 So speed is only affected by the medium.

00:58 On a guitar, that's going to be like the thickness of the string.

01:02 For the tension in the string.

01:03 If you want to tune a guitar, you tighten the strings or loosen them.

01:07 And each of the strings has a different thickness.

01:10 So this is going to be a constant value that's not going to change.

01:15 So what that means is if the wavelength goes down, that's going to force the frequency to go up, and you're going to play a higher note on the guitar.

01:23 So i'm having a little trouble reading this, but let's see if we can go through the choices here, which would be true.

01:28 The speed is not different.

01:30 The speed is the same.

01:31 I'm going to write that.

01:32 Speed is.

01:33 Is same.

01:37 The wavelength is shorter...