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One face of the glass prism is silver polished. A light ray falls at an angle of 45o on the other face. After reflection it is subsequently reflected from the silvered face and then retraces its path. The refracting angle of the prism is 30o . The refractive index of the prism is
- a)3 ∕ 2
- b)√2
- c)3 ∕ 2
- d)3
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
One face of the glass prism is silver polished. A light ray falls at a...
Angle of incidence (i) = 45o
r1 + r2 = A = 30o
μ = sin i sin r [From Snell's law]
When the ray of light retraces its path at the silvered face, the angle of refraction becomes 30o
μ = sin i/sin r = √2
r1 + r2 = A = 30o
μ = sin i sin r [From Snell's law]
When the ray of light retraces its path at the silvered face, the angle of refraction becomes 30o
μ = sin i/sin r = √2
Most Upvoted Answer
One face of the glass prism is silver polished. A light ray falls at a...
The refracting angle of the prism is the angle between the incident ray and the refracted ray inside the prism. In this case, the refracting angle is 30 degrees.
We can use Snell's law to find the refractive index of the prism. Snell's law states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the two media.
Let n be the refractive index of the prism. The angle of incidence is 45 degrees and the angle of refraction is 30 degrees. Using Snell's law, we have:
sin(45) / sin(30) = 1 / n
Simplifying, we get:
√(2) / (√(3)/2) = 1 / n
(2√(2)) / √(3) = 1 / n
Multiplying both sides by n, we get:
(2√(2)) / √(3) * n = 1
Dividing both sides by (2√(2)) / √(3), we get:
n = √(3) / (2√(2))
Simplifying, we get:
n = √(3) / (2 * √(2))
Therefore, the refractive index of the prism is √(3) / (2 * √(2)).
So, the correct option is a) √(3) / (2 * √(2)).
We can use Snell's law to find the refractive index of the prism. Snell's law states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the two media.
Let n be the refractive index of the prism. The angle of incidence is 45 degrees and the angle of refraction is 30 degrees. Using Snell's law, we have:
sin(45) / sin(30) = 1 / n
Simplifying, we get:
√(2) / (√(3)/2) = 1 / n
(2√(2)) / √(3) = 1 / n
Multiplying both sides by n, we get:
(2√(2)) / √(3) * n = 1
Dividing both sides by (2√(2)) / √(3), we get:
n = √(3) / (2√(2))
Simplifying, we get:
n = √(3) / (2 * √(2))
Therefore, the refractive index of the prism is √(3) / (2 * √(2)).
So, the correct option is a) √(3) / (2 * √(2)).
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One face of the glass prism is silver polished. A light ray falls at an angle of 45o on the other face. After reflection it is subsequently reflected from the silvered face and then retraces its path. The refracting angle of the prism is 30o . The refractive index of the prism isa)3 ∕ 2b)√2c)3 ∕ 2d)3Correct answer is option 'B'. Can you explain this answer?
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One face of the glass prism is silver polished. A light ray falls at an angle of 45o on the other face. After reflection it is subsequently reflected from the silvered face and then retraces its path. The refracting angle of the prism is 30o . The refractive index of the prism isa)3 ∕ 2b)√2c)3 ∕ 2d)3Correct answer is option 'B'. 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 One face of the glass prism is silver polished. A light ray falls at an angle of 45o on the other face. After reflection it is subsequently reflected from the silvered face and then retraces its path. The refracting angle of the prism is 30o . The refractive index of the prism isa)3 ∕ 2b)√2c)3 ∕ 2d)3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One face of the glass prism is silver polished. A light ray falls at an angle of 45o on the other face. After reflection it is subsequently reflected from the silvered face and then retraces its path. The refracting angle of the prism is 30o . The refractive index of the prism isa)3 ∕ 2b)√2c)3 ∕ 2d)3Correct answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice One face of the glass prism is silver polished. A light ray falls at an angle of 45o on the other face. After reflection it is subsequently reflected from the silvered face and then retraces its path. The refracting angle of the prism is 30o . The refractive index of the prism isa)3 ∕ 2b)√2c)3 ∕ 2d)3Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice NEET tests.
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