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AP Physics 2: 1.3 Waves. How much farther away is the screen from the slits if the first bright fringe is now 2.2 cm from center?

Language:
English Language

Transcript

00:04

Here's your shmoop du jour brought to you by classes luckily we're

00:07

not clutches we're as graceful as a ballerina [Ballerina girl dancing]

00:10

well ballerina with a concussion all right mr. klutz a teacher in part-time [Ballerina falls on the floor]

00:15

rodeo clown sets up a demonstration of Young's double-slit experiment in class

00:20

it takes almost 2 hours because he keeps dropping things tripping over power [Mr Klutz drops item]

00:25

cords and forgetting supplies and when he's finally done the fourth order

00:29

maximum is displayed 8 centimeters from the central bright spot just as he's

00:33

about to ask you students calculate something he knocks over the screen [Man knocks over screen]

00:36

displaying the interference pattern after a hasty restoration it appears to

00:41

be in a slightly different position but it's built perpendicular to the incident

00:44

light when the laughter subside mr. Klotz asks how much farther away is the [Students laughing and Mr Klutz asks question]

00:50

screen from the slit if the first bright fringe is now 2 point 2 centimeters from

00:55

the center and here are potential answers huh interesting question all

01:01

right let's got to be bad luck having with your clock is the last name it [People laughing at man]

01:05

would kind of determine your fate right like it's hard to imagine a CIA agent

01:09

named clutch or XM president clutch actually ever seen Gerald Ford now

01:14

professor klutz there well yeah that we can imagine okay [Professor walking on campus]

01:17

Young's double slit experiment helped show that light functions as a wave the

01:23

bright and dark spots that resulted from this experiment showed light waves

01:26

constructively and destructively interfering with each other

01:30

it helped show that light isn't a stream of particles the course later

01:33

experiments showed that light is a wave and is also a stream of particles but

01:38

let's get to this question because if we think too much about the wave particle [Girl reading book on dual nature of light]

01:41

duality of light our brain starts through West welcoming the pudding all

01:45

right there's a lot going on here so let's figure out what's important in

01:48

what we don't have to worry about in the double slit experiment there's a central [Double slit experiment set up appears]

01:52

bright spot than band of light or fringes in regular intervals or orders

01:57

going out from the center before mr. Klotz lived up to his name or maybe

02:02

that's professor klutz and not the screen over we saw that the fourth order [Man falls over]

02:06

maximum was 8 centimeters from the Center that means that on either side

02:10

from the center the fourth bright spot is eight centimeters away well after the

02:15

screen was set back up the first order maximum was two point two centimeters

02:19

from the middle point the distance of a maximum from the center equals the order [Man teaching]

02:24

number times the product of the wavelength and the length of the

02:28

distance from the slit to the screen over the distance between the two slits

02:33

there we go initially the equation would be for lambda L over V for the final [Equation appears on chalkboard]

02:38

position the equation would just be lambda L over D since we're dealing with

02:42

the first order maximum oh and we're using the approximate symbol because

02:47

when we're dealing with tiny numbers like the wavelength of light and the [Man with magnifying glass in classroom]

02:51

distance between the slit 8 centimeters is just too large a number to be precise

02:56

but it's just fine for our purposes here the only things that change in the setup

03:00

are the length of the distance from the slit to the screen and the order number

03:04

we're dealing with with a wavelength of light and the distance between the slits

03:08

aren't changing and like we said the bright fringe of the current regular

03:12

interval so if the fourth order fringe occurs at 8 centimeters the third order

03:16

fringe will be at 6 centimeters and the first order fringe will pop up at 2 [Order frames appear by slits]

03:20

centimeters which is good we like patterns we have an up randomness in

03:24

there live and we don't need more randomness and experiments as well well [Man drops plate]

03:28

looking at this is a ratio we can see that the ending length equals one point

03:32

one times the starting length that means to ending distance from the screen to

03:36

the fletcher's 10% farther than the original distance so the correct answer

03:41

is d and just remember science isn't always graceful and neither are

03:45

scientist Isaac Newton was always getting hit in the head after all that [Isaac Newton reading book and apple lands on head]

03:50

but then again Einstein helped create the art form we [Einstein dancing]

03:53

now call breakdancing

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