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A ray of light strikes a glass slav at an angle of incidence of 30 digre .if reflected and refractedv rays are perpendicular to each other.then the refractive index of the glass slab is approximately (1)5/3 (2)3/2 (3)4/3 (4)3/4?
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A ray of light strikes a glass slav at an angle of incidence of 30 dig...
Understanding the Problem
A ray of light strikes a glass slab at an angle of incidence of 30 degrees. The reflected and refracted rays are perpendicular to each other. We need to find the refractive index of the glass slab.
Key Concepts
- Angle of Incidence (i): 30 degrees
- Angle of Reflection (r): Equal to the angle of incidence (30 degrees)
- Angle of Refraction (r'): The angle at which light bends as it enters a different medium (glass)
Using Snell's Law
According to Snell's Law:
- n1 * sin(i) = n2 * sin(r')
Here, n1 is the refractive index of air (approximately 1), and n2 is the refractive index of glass.
Perpendicular Rays Condition
Since the reflected and refracted rays are perpendicular:
- i + r' = 90 degrees
This gives:
- r' = 90 - i = 90 - 30 = 60 degrees
Applying Snell's Law
Substituting the known values into Snell's Law:
- 1 * sin(30) = n2 * sin(60)
Now, we know:
- sin(30) = 1/2
- sin(60) = √3/2
Thus:
- 1/2 = n2 * (√3/2)
Solving for the Refractive Index
Rearranging gives:
- n2 = (1/2) / (√3/2) = 1/√3
Calculating this:
- n2 = 2/√3
To approximate:
- n2 ≈ 1.1547
This value is closest to 4/3, which is approximately 1.333.
Conclusion
Thus, the refractive index of the glass slab is approximately 4/3.
Final Answer
The correct option is (3) 4/3.
A ray of light strikes a glass slab at an angle of incidence of 30 degrees. The reflected and refracted rays are perpendicular to each other. We need to find the refractive index of the glass slab.
Key Concepts
- Angle of Incidence (i): 30 degrees
- Angle of Reflection (r): Equal to the angle of incidence (30 degrees)
- Angle of Refraction (r'): The angle at which light bends as it enters a different medium (glass)
Using Snell's Law
According to Snell's Law:
- n1 * sin(i) = n2 * sin(r')
Here, n1 is the refractive index of air (approximately 1), and n2 is the refractive index of glass.
Perpendicular Rays Condition
Since the reflected and refracted rays are perpendicular:
- i + r' = 90 degrees
This gives:
- r' = 90 - i = 90 - 30 = 60 degrees
Applying Snell's Law
Substituting the known values into Snell's Law:
- 1 * sin(30) = n2 * sin(60)
Now, we know:
- sin(30) = 1/2
- sin(60) = √3/2
Thus:
- 1/2 = n2 * (√3/2)
Solving for the Refractive Index
Rearranging gives:
- n2 = (1/2) / (√3/2) = 1/√3
Calculating this:
- n2 = 2/√3
To approximate:
- n2 ≈ 1.1547
This value is closest to 4/3, which is approximately 1.333.
Conclusion
Thus, the refractive index of the glass slab is approximately 4/3.
Final Answer
The correct option is (3) 4/3.
Community Answer
A ray of light strikes a glass slav at an angle of incidence of 30 dig...
The 2nd option is correct,,
3/2..
3/2..
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A ray of light strikes a glass slav at an angle of incidence of 30 digre .if reflected and refractedv rays are perpendicular to each other.then the refractive index of the glass slab is approximately (1)5/3 (2)3/2 (3)4/3 (4)3/4?
Question Description
A ray of light strikes a glass slav at an angle of incidence of 30 digre .if reflected and refractedv rays are perpendicular to each other.then the refractive index of the glass slab is approximately (1)5/3 (2)3/2 (3)4/3 (4)3/4? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A ray of light strikes a glass slav at an angle of incidence of 30 digre .if reflected and refractedv rays are perpendicular to each other.then the refractive index of the glass slab is approximately (1)5/3 (2)3/2 (3)4/3 (4)3/4? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ray of light strikes a glass slav at an angle of incidence of 30 digre .if reflected and refractedv rays are perpendicular to each other.then the refractive index of the glass slab is approximately (1)5/3 (2)3/2 (3)4/3 (4)3/4?.
A ray of light strikes a glass slav at an angle of incidence of 30 digre .if reflected and refractedv rays are perpendicular to each other.then the refractive index of the glass slab is approximately (1)5/3 (2)3/2 (3)4/3 (4)3/4? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A ray of light strikes a glass slav at an angle of incidence of 30 digre .if reflected and refractedv rays are perpendicular to each other.then the refractive index of the glass slab is approximately (1)5/3 (2)3/2 (3)4/3 (4)3/4? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ray of light strikes a glass slav at an angle of incidence of 30 digre .if reflected and refractedv rays are perpendicular to each other.then the refractive index of the glass slab is approximately (1)5/3 (2)3/2 (3)4/3 (4)3/4?.
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