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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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Most Upvoted Answer
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.
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..
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Read the following text and answer the following questions on the basis of the same:Negative Refractive Index: One of the most fundamental phenomena in optics is refraction. When a beam of light crosses the interface between two different materials, its path is altered depending on the difference in the refractive indices of the materials. The greater the difference, the greater the refraction of the beam. For all known naturally occurring materials the refractive index assumes only positive values. But does this have to be the case?In 1967, Soviet physicist Victor Veselago hypothesized that a material with a negative refractive index could exist without violating any of the laws of physics.Veselago predicted that this remarkable material would exhibit a wide variety of new optical phenomena. However, until recently no one had found such a material and Veselago’s ideas had remained untested. Recently, meta-material samples are being tested for negative refractive index. But the experiments show significant losses and this could be an intrinsic property of negativeindex materials.Snell’s law is satisfied for the materials having a negative refractive index, but the direction of the refracted light ray is ‘mirror-imaged’ about the normal to the surface.There will be an interesting difference in image formation if a vessel is filled with “negative water” having refractive index – 1.33 instead of regular water having refractive index 1.33.Say, there is a fish in a vessel filled with negative water. The position of the fish is such that the observer cannot see it due to normal refraction since the refracted ray does not reach to his eye.But due to negative refraction, he will be able to see it since the refracted ray now reaches his eye.Q. A ray incident on normal glass and “negative glass” at an angle 60°. If the magnitude of angle of refraction in normal glass is 45° then, what will be the magnitude of angle of refraction in the “negative glass”?

Read the following text and answer the following questions on the basis of the same:Negative Refractive Index: One of the most fundamental phenomena in optics is refraction. When a beam of light crosses the interface between two different materials, its path is altered depending on the difference in the refractive indices of the materials. The greater the difference, the greater the refraction of the beam. For all known naturally occurring materials the refractive index assumes only positive values. But does this have to be the case?In 1967, Soviet physicist Victor Veselago hypothesized that a material with a negative refractive index could exist without violating any of the laws of physics.Veselago predicted that this remarkable material would exhibit a wide variety of new optical phenomena. However, until recently no one had found such a material and Veselago’s ideas had remained untested. Recently, meta-material samples are being tested for negative refractive index. But the experiments show significant losses and this could be an intrinsic property of negativeindex materials.Snell’s law is satisfied for the materials having a negative refractive index, but the direction of the refracted light ray is ‘mirror-imaged’ about the normal to the surface.There will be an interesting difference in image formation if a vessel is filled with “negative water” having refractive index – 1.33 instead of regular water having refractive index 1.33.Say, there is a fish in a vessel filled with negative water. The position of the fish is such that the observer cannot see it due to normal refraction since the refracted ray does not reach to his eye.But due to negative refraction, he will be able to see it since the refracted ray now reaches his eye.Q. When the angle of incidence will be equal to angle of refraction for material having negative refraction index?

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 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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