Problem 4 For all parts of the below question, fill in the empty boxes with your answer (YOUR ANSWER MUST BE ONLY A NUMBER; DO NOT WRITE UNITS; DO NOT WRITE LETTERS). A 4.44-107( m ) light beam traveling in air is incident at an angle \( \theta_1\) to one face of block of a dense transparent material having an index of refraction \(n=1) 1.58. The emerging ray moves in a direction that makes an angle of \( \theta_4- ) 32 as shown. Consider \(\theta_a) 45 and \(\theta_be V) 45'. a). \(\theta_3=\) b) c) \(\theta_2-1) Calculate \(\theta_3\) in degrees. d) Calculate \(\theta_2\) in degrees. \(\theta_1=\) e) 0₁ \\lambda_n-\) Assume \( \theta_3=\) 23.5. Calculate \(\theta_1\) in degrees. Ob 04 What is the wavelength \( \lambda_n\), in m. of this light beam in the medium \(n-1) 1.58 ? \(\theta_c=\) What is, in degree, the critical angle \( \theta_c\) at the medium \(n-air \) interface?

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Problem 4
For all parts of the below question, fill in the empty boxes with your answer (YOUR ANSWER MUST BE
ONLY A NUMBER; DO NOT WRITE UNITS; DO NOT WRITE LETTERS).
A 4.44-107 (m) light beam traveling in air is incident at an angle \(\theta_1\) to one face of block of a
dense transparent material having an index of refraction \(n=1) 1.58. The emerging ray moves in a
direction that makes an angle of \(\theta_4-1) 32 as shown. Consider \(\theta_a) 45 and \(\theta_be
V) 45".
a).
\(\theta_3=\)
b)
c)
\(\theta_2-1)
Calculate \(\theta_3\) in degrees.
d)
Calculate \(\theta_2\) in degrees.
\(\theta_1=\)
e)
0₁
(lambda_n-\)
Assume \( \theta_3=\) 23.5. Calculate \(\theta_1\) in degrees.
Ob
04
What is the wavelength \( \lambda_n\), in m, of this light beam in the medium \(n=1) 1.58 ?
\(\theta_c=\)
What is, in degree, the critical angle \(\theta_c\) at the medium \(n-air \) interface?
Transcribed Image Text:Problem 4 For all parts of the below question, fill in the empty boxes with your answer (YOUR ANSWER MUST BE ONLY A NUMBER; DO NOT WRITE UNITS; DO NOT WRITE LETTERS). A 4.44-107 (m) light beam traveling in air is incident at an angle \(\theta_1\) to one face of block of a dense transparent material having an index of refraction \(n=1) 1.58. The emerging ray moves in a direction that makes an angle of \(\theta_4-1) 32 as shown. Consider \(\theta_a) 45 and \(\theta_be V) 45". a). \(\theta_3=\) b) c) \(\theta_2-1) Calculate \(\theta_3\) in degrees. d) Calculate \(\theta_2\) in degrees. \(\theta_1=\) e) 0₁ (lambda_n-\) Assume \( \theta_3=\) 23.5. Calculate \(\theta_1\) in degrees. Ob 04 What is the wavelength \( \lambda_n\), in m, of this light beam in the medium \(n=1) 1.58 ? \(\theta_c=\) What is, in degree, the critical angle \(\theta_c\) at the medium \(n-air \) interface?
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