UMass Amherst PHYSICS 132  Phy 132 Lab 4 Thickness of Hair (4 pages)
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Phy 132 Lab 4 Thickness of Hair
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 University of Massachusetts Amherst
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 Physics 132  Intro Physics II
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Physics 132 Lab Lab 4 Thickness of Hair Experimental Design 1 What is the null hypothesis for this lab What is your alternative hypothesis A null hypothesis would be there is no significant difference between measuring with a caliper or using diffraction An alternative hypothesis is there is a significant difference in measuring with a caliper rather than measuring using diffraction 2 Which set of measurements do you think will be better How will you define a set of measurement being better than the other A set of measurements is better than another set when it is both more accurate referring to the closeness of a measured value to a standard or known value and more precise referring to the closeness of two or more measurements to each other I think the better measurement will be diffraction because it s more technical and should render more precise measurements Measuring with the Caliper 3 4 Measure the thickness of the hair using the calipers measuring to the nearest 0 01 mm Get a measurement from everyone at your table for a total of four measurements Don t share your measurements until after everyone has done one it s important that your measurements don t influence one another Name Measurement mm John 0 09 Mateo 0 05 Vikki 0 03 Darren 0 06 Calculate the mean and standard deviation of these measurements this will be one of your sets of data for this lab 0 025 is the standard deviation 0 0575 mm is the mean Measuring with Diffraction With this experiment we will be using a strand of hair to create a double slit to generate interference of light Let s take a closer look at what s going on The difference between the physical path lengths for a double slit is There is a slight difference for our situation With the hair what we have is a double slit with the slits being really infinitely wide When this fact is taken into account using calculus we get a factor of two popping up underneath the d so we have 5 Create an equation for in terms of the distance between the center to the first dark spot distance from the hair to the scree n d and the 650nm sin tan hy 6 After mounting the hair to the platform look at the position of the hair on the track What factors might contribute to the uncertainty in the hair s position Think about how the hair is placed onto the track and the method in which you are measuring it s position Hair is 71 cm from the screen Because the hair is so small and we had to tape it in place and it is not rigid the actual location of the hair on the track could be greater or less than 71 cm by 1 2 millimeters 7 Consider how much uncertainty each factor contributes to your measurement For example consider the position of the base of
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