(a)\(Snell's \) \(Law\): \(n\)\(1\)\(sin(\theta\)\(1\)\()=n\)\(2\)\(sin(\theta\)\(2\)\()\)
n1=1
n2=1.33
(b) \(\theta\)1 =\(\theta\)3=40º
\(\theta\)2=?
sin(40)=1.33sin(\(\theta\)2)
\(\theta\)2=arcsin[100sin(40)/133]
\(\theta\)2=28.90º
(c) f=speed of light in substance
c=speed of light in vacuum=3*\(10^8\)m/s
n=index of refraction
\(f={c\over n}\)
f=3.99*\(10^8\)m/s
(d) h=frequency
w=wavelength
f=speed of light in substance
f=hw
3.99*\(10^8\)m/s=7.85*1016/s*w
w=(3.99/7.85)*(108-16)=5.08*10-9m
(e) \(Snell's \) \(Law\): \(n\)\(1\)\(sin(\theta\)\(1\)\()=n\)\(2\)\(sin(\theta\)\(2\)\()\)
n1sin(\(\theta\)1)=1
sin(90)=1
1.33sin(\(\theta\)2)=1
\(\theta\)2=arcsin(100/133)=48.75º