During an experiment, a group of students must determine the critical angle of a plastic prism. Each student shines a laser beam through the plastic prism, as shown in the figure, and adjusts the angle 0, of the incident beam until the beam leaving the flat face of the prism lies along the plastic-air boundary. Each student measures the angle 01. The students' measurements of the critical angle do not agree, as shown in the table. Which of the following methods could give the students values for the critical angle that would more likely show better agreement? Select two answers. A The students could average the values in the table. B Each student could repeat the described procedure multiple times and average the measurements. Each student could take measurements of 82 for multiple values of 8, graph 8, as a function of 8, and draw a best-fit line. The point on the line for which 82 = 1 will give the value of 8, for the critical angle. D Each student could take measurements of 0, for multiple values of 01, graph sin 62 as a function of sin 81, and draw a best-fit line. The point on the line for which sin 62 = 1 will give the value of sin 0, for the critical angle.
During an experiment, a group of students must determine the critical angle of a plastic prism. Each student shines a laser beam through the plastic prism, as shown in the figure, and adjusts the angle 0, of the incident beam until the beam leaving the flat face of the prism lies along the plastic-air boundary. Each student measures the angle 01. The students' measurements of the critical angle do not agree, as shown in the table. Which of the following methods could give the students values for the critical angle that would more likely show better agreement? Select two answers. A The students could average the values in the table. B Each student could repeat the described procedure multiple times and average the measurements. Each student could take measurements of 82 for multiple values of 8, graph 8, as a function of 8, and draw a best-fit line. The point on the line for which 82 = 1 will give the value of 8, for the critical angle. D Each student could take measurements of 0, for multiple values of 01, graph sin 62 as a function of sin 81, and draw a best-fit line. The point on the line for which sin 62 = 1 will give the value of sin 0, for the critical angle.
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Transcribed Image Text:Student
A
37
B
44
42
D
39
During an experiment, a group of students must determine the critical angle of a plastic prism. Each student shines a laser beam through the plastic prism, as shown in the figure, and adjusts the angle 01 of
the incident beam until the beam leaving the flat face of the prism lies along the plastic-air boundary. Each student measures the angle 01. The students' measurements of the critical angle do not agree, as
shown in the table. Which of the following methods could give the students values for the critical angle that would more likely show better agreement? Select two answers.
A
The students could average the values in the table.
B
Each student could repeat the described procedure multiple times and average the measurements.
Each student could take measurements of 02 for multiple values of 81. graph 8, as a function of e, and draw a best-fit line. The point on the line for which 02 = 1 will give the value of e, for
the critical angle.
Each student could take measurements of 0, for multiple values of 01. graph sin 82 as a function of sin 81, and draw a best-fit line. The point on the line for which sin 62 = 1 will give the
value of sin 8, for the critical angle.
Transcribed Image Text:02
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