Question

#MATLAB

The following table of values gives experimentally-determined values of the angles of incidence and refraction of light through water. The known index of refraction of water is sinθ_i/ sinθ_r = 1.33 in which θ_i is the angle of incidence and θ_r is the angle of refraction. Make a plot that shows the experimental values as well as the theoretical values for 0 ≤ θ_i ≤ π/2. Experimental values should be filled symbols and the theoretical values should be a smooth line. Give the plot appropriate x and y labels, a title, and a legend.

Experiment number	Angle of incidence (degrees)	Angle of refraction (degrees)
1	33.5	24
2	12	3
3	17	10.5
4	41	20
5	22	10
6	30	15

Answer 1

Theoretical angle of refraction,   

MATLAB Code

clc;clear all;
i=1:8;
Angle_inc=[33.5 12 17 41 22 30]; % Angle of incidence
Expt_Angle_refr=[24 3 10.5 20 10 15]; % Experimental Angle of Refraction
theta_i=0:0.01:90; % Angle of incidence for theoretical
Theo_Angle_refr=(180/pi)*asin(sin(theta_i*pi/180)/1.33); % theoretical angle of refraction

plot(Angle_inc, Expt_Angle_refr,'*r'); hold on;
plot(theta_i,Theo_Angle_refr);
xlabel('Angle of incidence(degrees)','fontsize',13);
ylabel('Angle of refraction(degrees)','fontsize',13);
legend('Experimental Value of Angle of Refraction',' Theoretical value of Angle of Refraction');
title('Plot of Experimental values vs Theoretical values of Angle of Refraction','fontsize',13);
set(gca,'fontsize',14);