In an optics experiment, you make five measurements of the wavelength of a UV la

Question

In an optics experiment, you make five measurements of the wavelength of a UV laser. Your measurements are 240, 233, 235, 239, and 232 nm. For this question, do not use the pre-programmed functions of your calculator or Mathematica - show the math you are doing explicitly. What is the mean value of your five measurements? What is the standard deviation? What is the standard error of the mean? What is the wavelength of light in standard format? You measure the total Earth's magnetic field using the magnetometer app of your smart phone. Assume only random noise and no systematic errors. You make 12 measurements in total with values of B = 64.3, 64.7, 64.2, 65.1, 65.7, 66.0, 64.2, 64.3, 64.0, 63.9, 64.4, 64.2 mu T. Calculate the mean, the standard deviation, and the standard error of the mean (use corresponding function of your calculator or Mathematica). Report the result in standard format.

Explanation / Answer

Q1.

part a:

mean=(240+233+235+239+232)/5

=235.8 nm

part b:

standard deviation=sqrt(((240-235.8)^2+(233-235.8)^2+(235-235.8)^2+(239-235.8)^2+(232-235.8)^2)/(5-1))=3.5637

part c:

standard error of mean=standard deviation/sqrt(5)

=1.5937

part d:

wavelength of light in standard format=235.8 nm (+/-) 1.5937 nm

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