Math Problem Statement
Solution
I'll go over each problem and verify or solve based on what's visible.
Problem Analysis and Solutions
-
Problem 1: A ray of light passes from a liquid to air. The angles of incidence and refraction are 35° and 53° respectively. We need to find the refractive index of the liquid.
Using Snell's Law: Assuming , Calculating this: Answer: 1.39
-
Problem 2: A light ray travels from air to glass with angles of incidence and refraction given as 25° and 50° respectively. We need to find the refractive index of the glass.
Using Snell's Law: Assuming , Calculating this: Answer: 1.44
-
Problem 3: A light ray travels from glass to air, with an angle of refraction of 55°. The refractive index of glass is given as 1.5. We need to find the angle of incidence.
Using Snell's Law: Solving for : Calculating this: Answer: 33.1°
-
Problem 4: A light ray passes from glass into a triangular wedge of air and then back into the glass. The directions of the refracted ray options are numbered 1 through 4. The correct answer based on standard refraction and reflection patterns appears to be direction 2, assuming the ray bends outward when entering air and back when re-entering glass.
Answers Recap:
- Angle of incidence
- Correct direction: 2
Would you like further explanations or have any other questions?
Here are 5 related questions to expand on this topic:
- How does the refractive index affect the speed of light in a medium?
- Why does light bend towards the normal when entering a medium with a higher refractive index?
- How can total internal reflection be used in fiber optics?
- What happens to the angle of refraction if the refractive index of the second medium is decreased?
- How do you calculate the critical angle between two mediums?
Tip: Remember, the greater the refractive index, the slower light travels in that medium.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Trigonometry
Refraction
Refractive Index
Snell's Law
Formulas
n₁sin(θ₁) = n₂sin(θ₂)
n_{liquid} = sin(θ₂) / sin(θ₁)
n_{glass} = sin(θ₁) / sin(θ₂)
Theorems
Snell's Law
Suitable Grade Level
Grade 10-12
Related Recommendation
Refractive Index of Glass Calculation with Snell's Law and Wavelength in Air
Find Refractive Index using Snell's Law and Angle of Incidence
Snell's Law and Refraction: Calculating Refractive Index and Angle of Incidence
Refraction Angle Calculation Using Snell's Law
Understanding Light Refraction Through a New Plastic Using Snell's Law