question 5 In an optics experiment, you make five measurements of the wavelength
ID: 1533606 • Letter: Q
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question 5
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 Mathematics - 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. The length of a rectangular field is measured to be 25 plus minus 1 m. The width is 10.0 plus minus 0.5 m Calculate the area, the uncertainty in the area, and present your answer in standard format. The following graphs depict four targets with the points where an arrow struck the target noted in blue Label each picture with both the level of random and the level systematic error The choices are "large" or "small" for each type of error. You are measuring the oscillation period of a pendulum You first take 20 measurements and calculate the mean, standard deviation, and standard error on the mean You then decide you would like to take 10 additional measurements and use all 30 to calculate a new mean, standard deviation and standard error on the mean (Assume random. uncorrelated errors) Should the standard deviation increase, decrease or stay the same? Should the standard error on the mean increase, decrease, or stay the same?Explanation / Answer
Q5.
for calculation of standard deviation,
the denominator becomes sqrt(n-1)
where n is the number of measurements if n<=20 and denominator becomes sqrt(n) if n>20
so standard deviation will decrease when we taken 30 observations as compared to 20.
part b:
as standard error of mean=standard deviation/sqrt(n)
and standard deviation will remain almost same (little less in case of 30 observations)
as n increases, standard error of mean will decrease.
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