Homework 3 PHYS 40 Spring 2017 Due Friday Feb. 17, 3pm Drop off in lock box in l
ID: 1533271 • Letter: H
Question
Homework 3 PHYS 40 Spring 2017 Due Friday Feb. 17, 3pm Drop off in lock box in lab room. 1) (8 points) In an optics experiment, you make five measurements of the wavelength of a UV laser. Your measurements are 240, 233, 235, 239, and 232 mm. For this question, do not use the pre-programmed functions of your calculator or Mathematica how the math you are doing explicitly. a) What is the mean value of your five measurements? b) What is the standard deviation? What is the standard emor of the mean? d) What is the wavelength of light in standard format? 20 points) 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, 647.64.2, 65.1, 65.7, 66,0, 642,64.3, 64.0, 63,9, 644, 64.2 uT 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 points) The length of a rectangular field is measured to be 25 t 1 m. The width is 10.0 0,5 m. Calculate the area, the unoertainty in the area, and present your answer in standard target noted in blue. Label each picture with both the level of random and the level systematic emor. The choices are "large" or "small for each type oferror. S) points) You are measuring the oscillation period of a pendulum. You first take 20 ts and calculate the mean, standard deviati and standard error de you d like to take 10 additi ments and all 30 to calculate standard deviat and standard Should the standard deviatio decrease, stay the same? b. Should the standard. ase, decrease, stay thExplanation / Answer
2)
64.3 , 64.7 , 64.2 , 64.1 , 65.7 , 66.0 , 64.2 , 64.3 , 64, 63.9 , 64.4 , 64.2
Mean = (64.3 + 64.7 + 64.2 + 64.1 + 65.7 + 66.0 + 64.2 + 64.3 + 64 + 63.9 + 64.4 + 64.2)/12 = 64.5
standard deviation is given as
SD = sqrt((64.3 - 64.5)2 + (64.7 - 64.5)2 + (64.2 - 64.5)2 + (64.1 - 64.5)2 + ( 65.7 - 64.5)2 + (66.0 - 64.5)2 + (64.2 - 64.5)2 + (64.3 - 64.5)2 + (64 - 64.5)2 + (63.9 - 64.5)2 + (64.4 - 64.5)2 + (64.2 - 64.5)2)
SD = 0.64
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