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:

RAY TABLE DEGREESCALE NORMAL . COMPON 01 OP 05

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.

Thanks!

Answer 1

at the Observe the Simply looking data first, we can that angle of reflection is oleviously proportional to Angle of reflection is equal of incidence in every Oi FOR But saying it directly may not clear the doubt. angle of incidence. Also ingle almost al to case i.e. So were flot the data . For the data of the angle of corresponding angle of reflection incidence and in the positive look like the below direction the graph will graphi-

Angle of Reflection 90 80 70 60 50 40 Series1 30 20 10 0 0 20 40 60 80 100 Angle of Incidence

and it is in the an The data is going through origin first quadrant. It is equation of the straight line passing through origin, so, y = 3 y yan c=y-intercept OR = moi slope me te ma T Here it is co mo /

AL = slope FOR 191 11 lo 20 u - 40.5-20.5 40-20 42 m = 1 (1) OR = Oi We are getting what we have predicted,

1 than slightly greater or, calculate less than if you You may get slightly slope for But it will still lie two different sets of data not differ that much. It will mnl ) din OR in the of data Now, for the second set direction, graph negative the evill the below one, look like

Angle of Incidence o -100 -80 -60 -40 -20 -10 -20 30 -40 Series1 -50 -60 -70 -80 -90 Angle of reflection

It is passing through the origin and in the 3rd quadrant. So, it is also a straight line passing through the origin, OR = Slope 4OR -59.5-(-40) -19.5 Slope AOP -60-640) -20 moi mo . - im = 0.975 1 other data ou may find WEI wan FOR ~ Oi for any. (exactly) So, our prediction correct that OR ~ di which is revelant ley the data itself as well. Hence relation is Oro Actually, it should be ordi Law of reflection. But in practical work some does not the come exactly it has bee equal, has lee come nearly equal. the it is the due to errors it