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*all of the questions are related, please answer all of them*

1) In the laws of optics experiment, a student measured the intensity of a light source at different distances with respect to the light source using a light probe. The following table shows the data collected in this experiment.

r (m) I (Lux)
0.050 636.6
0.100 159.2
0.150 70.7
0.200 39.8
0.250 25.5
0.300 17.7
0.350 13.0
0.400 9.9
0.450 7.9
0.500 6.4

Plot the data using excel and apply the power law fit (y(x) = A x-n). What is the value of n?

2) In Question 1, what is the value of A from the fitting equation?

3) Use your findings in the previous question and the data in Question 1 to determine the intensity at r = 0.521 m.

4) Use your findings in previous questions and the data in Question 1 to determine the distance when the intensity is 117.1 Lux.

5) In the law of refraction experiment, a student measured the incident angle in air (65.6o) and the refracted angle in water (39.9o). If the index of refraction for air is 1.00, then calculate the medium index of refraction.

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