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Width of a Hair Lab

The goal of this lab was to measure the width of a single strand of my hair by using laser diffraction and interference patterns.

Experimental Process

IMG_9606.HEIC
IMG_9614.HEIC

Set-up

A laser is shined through a thin piece of hair and a split pattern is formed on the wall.

Measurements

To measure the width of a hair, the equation mλ= ds/D must be used. ​

- Where m is the number of constructive interferences​

- λ is the wavelength of the laser ​

- d is the width between slits ​(hair width)

- s is the distance between interference patterns​

- D is the distance from the hair to the wall

Using the measurements we collected: 

​

m = 2 

λ = 532nm = 0.0000532cm

d = what we are solving for

s = 1cm 

D = 190cm  

​

Step 1: multiply both sides by D (m​λD= ds)

Step 2: divide by s (d = mλD/s)

​Step 3: plug in measurements

​

​

d = (2)(0.0000532)(190)/(1) = 0.02012cm

​

​

The width of my hair is 0.02 cm thick

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