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A light ray is incident at an angle of 60° at one face of a prism. If emergent ray makes an angle of 30° with the incident ray, then correct statement is (Angle of prism is given as 30°)
- a)Final emergent ray is parallel to second face of the prism and refractive index of the prism is √2
- b)Final emergent ray is perpendicular to the second face and refractive index of the prism is √2
- c)Final emergent ray will make an angle of 30° with second face and refractive index is √3
- d)Final emergent ray is normal to second surface and refractive index is √3
Correct answer is option 'D'. Can you explain this answer?
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A light ray is incident at an angle of 60° at one face of a prism. If...
Δ = (i1 + i2) - A
30 = (60 + i2) - 30
⇒ i2 = 0
Also, 
= √3
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A light ray is incident at an angle of 60° at one face of a prism. If...
Explanation:
When a light ray passes through a prism, it undergoes refraction at each surface of the prism. The incident ray is the ray that enters the prism, and the emergent ray is the ray that leaves the prism.
Given:
- Angle of incidence (i) = 60°
- Angle of emergence (e) = 30°
- Angle of prism (A) = 30°
Step 1: Angle of Deviation
The angle of deviation (δ) is the angle between the incident ray and the emergent ray. It can be calculated using the formula:
δ = (i + e) - A
Substituting the values, we get:
δ = (60° + 30°) - 30°
δ = 90° - 30°
δ = 60°
Step 2: Relationship between Angle of Deviation and Refractive Index
The angle of deviation is related to the refractive index (μ) of the prism through the equation:
μ = sin[(A + δ)/2] / sin(A/2)
Substituting the values, we get:
μ = sin[(30° + 60°)/2] / sin(30°/2)
μ = sin(45°) / sin(15°)
μ = √2 / (1/2)
μ = 2√2
Step 3: Relationship between Angle of Emergence and Angle of Deviation
The angle of emergence (e) is related to the angle of deviation (δ) through the equation:
e = i + δ - A
Substituting the values, we get:
30° = 60° + δ - 30°
30° = δ + 30°
δ = 0°
Step 4: Final Emergent Ray
Since the angle of deviation (δ) is 0°, it means that the emergent ray is parallel to the second face of the prism. This is because the emergent ray does not deviate from its original path.
Therefore, the correct statement is:
- Final emergent ray is normal to the second surface
- Refractive index of the prism is √3
Answer: Option D
When a light ray passes through a prism, it undergoes refraction at each surface of the prism. The incident ray is the ray that enters the prism, and the emergent ray is the ray that leaves the prism.
Given:
- Angle of incidence (i) = 60°
- Angle of emergence (e) = 30°
- Angle of prism (A) = 30°
Step 1: Angle of Deviation
The angle of deviation (δ) is the angle between the incident ray and the emergent ray. It can be calculated using the formula:
δ = (i + e) - A
Substituting the values, we get:
δ = (60° + 30°) - 30°
δ = 90° - 30°
δ = 60°
Step 2: Relationship between Angle of Deviation and Refractive Index
The angle of deviation is related to the refractive index (μ) of the prism through the equation:
μ = sin[(A + δ)/2] / sin(A/2)
Substituting the values, we get:
μ = sin[(30° + 60°)/2] / sin(30°/2)
μ = sin(45°) / sin(15°)
μ = √2 / (1/2)
μ = 2√2
Step 3: Relationship between Angle of Emergence and Angle of Deviation
The angle of emergence (e) is related to the angle of deviation (δ) through the equation:
e = i + δ - A
Substituting the values, we get:
30° = 60° + δ - 30°
30° = δ + 30°
δ = 0°
Step 4: Final Emergent Ray
Since the angle of deviation (δ) is 0°, it means that the emergent ray is parallel to the second face of the prism. This is because the emergent ray does not deviate from its original path.
Therefore, the correct statement is:
- Final emergent ray is normal to the second surface
- Refractive index of the prism is √3
Answer: Option D
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A light ray is incident at an angle of 60° at one face of a prism. If emergent ray makes an angle of 30° with the incident ray, then correct statement is (Angle of prism is given as 30°)a)Final emergent ray is parallel to second face of the prism and refractive index of the prism is √2b)Final emergent ray is perpendicular to the second face and refractive index of the prism is √2c)Final emergent ray will make an angle of 30° with second face and refractive index is √3d)Final emergent ray is normal to second surface and refractive index is √3Correct answer is option 'D'. Can you explain this answer?
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A light ray is incident at an angle of 60° at one face of a prism. If emergent ray makes an angle of 30° with the incident ray, then correct statement is (Angle of prism is given as 30°)a)Final emergent ray is parallel to second face of the prism and refractive index of the prism is √2b)Final emergent ray is perpendicular to the second face and refractive index of the prism is √2c)Final emergent ray will make an angle of 30° with second face and refractive index is √3d)Final emergent ray is normal to second surface and refractive index is √3Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A light ray is incident at an angle of 60° at one face of a prism. If emergent ray makes an angle of 30° with the incident ray, then correct statement is (Angle of prism is given as 30°)a)Final emergent ray is parallel to second face of the prism and refractive index of the prism is √2b)Final emergent ray is perpendicular to the second face and refractive index of the prism is √2c)Final emergent ray will make an angle of 30° with second face and refractive index is √3d)Final emergent ray is normal to second surface and refractive index is √3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A light ray is incident at an angle of 60° at one face of a prism. If emergent ray makes an angle of 30° with the incident ray, then correct statement is (Angle of prism is given as 30°)a)Final emergent ray is parallel to second face of the prism and refractive index of the prism is √2b)Final emergent ray is perpendicular to the second face and refractive index of the prism is √2c)Final emergent ray will make an angle of 30° with second face and refractive index is √3d)Final emergent ray is normal to second surface and refractive index is √3Correct answer is option 'D'. Can you explain this answer?.
A light ray is incident at an angle of 60° at one face of a prism. If emergent ray makes an angle of 30° with the incident ray, then correct statement is (Angle of prism is given as 30°)a)Final emergent ray is parallel to second face of the prism and refractive index of the prism is √2b)Final emergent ray is perpendicular to the second face and refractive index of the prism is √2c)Final emergent ray will make an angle of 30° with second face and refractive index is √3d)Final emergent ray is normal to second surface and refractive index is √3Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A light ray is incident at an angle of 60° at one face of a prism. If emergent ray makes an angle of 30° with the incident ray, then correct statement is (Angle of prism is given as 30°)a)Final emergent ray is parallel to second face of the prism and refractive index of the prism is √2b)Final emergent ray is perpendicular to the second face and refractive index of the prism is √2c)Final emergent ray will make an angle of 30° with second face and refractive index is √3d)Final emergent ray is normal to second surface and refractive index is √3Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A light ray is incident at an angle of 60° at one face of a prism. If emergent ray makes an angle of 30° with the incident ray, then correct statement is (Angle of prism is given as 30°)a)Final emergent ray is parallel to second face of the prism and refractive index of the prism is √2b)Final emergent ray is perpendicular to the second face and refractive index of the prism is √2c)Final emergent ray will make an angle of 30° with second face and refractive index is √3d)Final emergent ray is normal to second surface and refractive index is √3Correct answer is option 'D'. Can you explain this answer?.
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