The refraction indices of materials vary slightly with temperature and with the wavelength of the light going through the material. The index of refraction of water at 70°C for a helium neon laser is 1.32% (use the fraction-no calculators). If the laser is shone through a right triangular prism of water (held by in place by negligibly thin walls) as drawn, What is the critical value of the angle of incidence, 8₁, such that beyond this angle, the laser is not transmitted through the far side as indicated? 0₂ B₁₁= Does total internal reflection occur for incident angles greater than or less than 8?
The refraction indices of materials vary slightly with temperature and with the wavelength of the light going through the material. The index of refraction of water at 70°C for a helium neon laser is 1.32% (use the fraction-no calculators). If the laser is shone through a right triangular prism of water (held by in place by negligibly thin walls) as drawn, What is the critical value of the angle of incidence, 8₁, such that beyond this angle, the laser is not transmitted through the far side as indicated? 0₂ B₁₁= Does total internal reflection occur for incident angles greater than or less than 8?
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![### Refraction and Total Internal Reflection of Light in a Water Prism
The refraction indices of materials vary slightly with temperature and with the wavelength of the light going through the material. The index of refraction of water at 70°C for a helium neon laser is 1.32 (approximately \(\frac{\sqrt{5}}{2}\)).
If the laser is shone through a right triangular prism of water (held in place by negligibly thin walls) as shown in the diagram below:
**Question:**
What is the critical value of the angle of incidence, \( \theta_1 \), such that beyond this angle, the laser is **not** transmitted through the far side as indicated?
**Diagram Description:**
The diagram shows a right triangular prism. A laser beam is incident on one of the sides of the prism at an angle \( \theta_1 \). Inside the prism, the angle of refraction is \( \theta_2 \). The angle of total internal reflection is \( \theta_t \).
\[ \theta_1 \] is the angle of incidence outside the prism.
\[ \theta_2 \] is the angle of refraction inside the prism.
\[ \theta_t \] is the critical angle for total internal reflection.
**Calculation of Critical Angle (\( \theta_{1c} \)):**
\[ \theta_{1c} = \ _________________ \]
**Follow-Up Question:**
Does total internal reflection occur for incident angles greater than or less than \( \theta_{1c} \)?
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By exploring these concepts, students can understand how the index of refraction and various angles within the prism affect the transmission and internal reflection of light.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6a53db3-c060-4093-8251-3e3936495142%2Fc52817e5-f07b-4f89-ae00-95370375675a%2Fe0usvbh_processed.png&w=3840&q=75)
Transcribed Image Text:### Refraction and Total Internal Reflection of Light in a Water Prism
The refraction indices of materials vary slightly with temperature and with the wavelength of the light going through the material. The index of refraction of water at 70°C for a helium neon laser is 1.32 (approximately \(\frac{\sqrt{5}}{2}\)).
If the laser is shone through a right triangular prism of water (held in place by negligibly thin walls) as shown in the diagram below:
**Question:**
What is the critical value of the angle of incidence, \( \theta_1 \), such that beyond this angle, the laser is **not** transmitted through the far side as indicated?
**Diagram Description:**
The diagram shows a right triangular prism. A laser beam is incident on one of the sides of the prism at an angle \( \theta_1 \). Inside the prism, the angle of refraction is \( \theta_2 \). The angle of total internal reflection is \( \theta_t \).
\[ \theta_1 \] is the angle of incidence outside the prism.
\[ \theta_2 \] is the angle of refraction inside the prism.
\[ \theta_t \] is the critical angle for total internal reflection.
**Calculation of Critical Angle (\( \theta_{1c} \)):**
\[ \theta_{1c} = \ _________________ \]
**Follow-Up Question:**
Does total internal reflection occur for incident angles greater than or less than \( \theta_{1c} \)?
---
By exploring these concepts, students can understand how the index of refraction and various angles within the prism affect the transmission and internal reflection of light.
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