Question

hello, i need some help and would appreciate someone could patiently read the following :)

i need help with a small part of my physics lab.

the purpose of the lab is to come up with an object that reflects the light and also measure various angles of incidence as well as those of reflection, while deciding if they are related.

Up to this point my professor used one of these:

manbalari PASCO OL COMPONEN OB COMPONENT 11111 00 70 NORMAL DEGREE SCALE RAY TABLE 6:11 /6:14 CC n Data

I recorded the angle of incidence and corresponding angle of reflection in the positive direction:

below, i also recorded the angle of incidence and correponding angle of reflection in the negative direction:

My professor wants me to come up with an equation (using my data) which relates the angle of incidence to the angle of reflection.

He said the relationship could be observed by simply looking at the data itself.

He stated if the mathmatical relationship is hard to see, you can plot the angle of reflection (y-axis) vs. angle of incidence (x-axis).

* If the graph is done, he said the data should go through the orgin and be in the first and third quadrants.

Please help me understand and show all work, I do need this before tomorrow at 6 pm please. The sooner the better.

Answer 1

In [1]: import sympy as sp import numpy as np import matplotlib.pyplot as plt In [4]: thetai = [80, 70, 60, 50, 40, 30, 20, 10, 0, -10, -20, -30, -40, -50, -60, -70, -80] thetar = (80.5, 71, 62, 50.5, 40.5, 30.5, 20.5, 10, 0, -10, -19.5, -29.5, -40, -49, -59.5, -69.5, -80] In [9]: plt.plot(thetai, thetar, "ro") plt.grid) plt.xlabel("$\\theta is") plt.ylabel("$\\theta R$") plt.show() 80 60 40 20 0 -20 -40 -60 -80 -80 -60 -40 -20 20 40 60 80 0 8

The graph isallached as separande file from the graph it is evident that oi and OR has an Simple linear relationship. and the relationship is Oi = OR This is known as the law of reflection.