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A face of a prism of refracting angle 30o is silvered. A ray of light is incident on the other face at angle of incidence 45o. After refection from the silvered face, ray retraces its path. The index of refraction of prism will be
- a)4
- b)2
- c)√2
- d)1/√2
Correct answer is option 'C'. Can you explain this answer?
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A face of a prism of refracting angle 30o is silvered. A ray of light ...
1.5d)1.33
The correct answer is d) 1.33.
When the ray of light enters the prism, it will refract according to Snell's law with an angle of refraction of 15 degrees (since the refracting angle is 30 degrees). When the ray of light reflects off the silvered face, it will reflect at an angle of incidence equal to 45 degrees (since the angle of reflection is equal to the angle of incidence). This means that the angle of reflection inside the prism will be 75 degrees.
For the ray to retrace its path, the angle of incidence and the angle of reflection inside the prism must be equal. Therefore, the angle of incidence outside the prism must also be 75 degrees.
Using Snell's law again, we can find the index of refraction of the prism as follows:
n₁ sin(45) = n₂ sin(15)
where n₁ is the index of refraction of the medium outside the prism (air, which has an index of refraction of approximately 1) and n₂ is the index of refraction of the prism. Solving for n₂, we get:
n₂ = n₁ sin(45) / sin(15) = 1.33
Therefore, the index of refraction of the prism is approximately 1.33.
The correct answer is d) 1.33.
When the ray of light enters the prism, it will refract according to Snell's law with an angle of refraction of 15 degrees (since the refracting angle is 30 degrees). When the ray of light reflects off the silvered face, it will reflect at an angle of incidence equal to 45 degrees (since the angle of reflection is equal to the angle of incidence). This means that the angle of reflection inside the prism will be 75 degrees.
For the ray to retrace its path, the angle of incidence and the angle of reflection inside the prism must be equal. Therefore, the angle of incidence outside the prism must also be 75 degrees.
Using Snell's law again, we can find the index of refraction of the prism as follows:
n₁ sin(45) = n₂ sin(15)
where n₁ is the index of refraction of the medium outside the prism (air, which has an index of refraction of approximately 1) and n₂ is the index of refraction of the prism. Solving for n₂, we get:
n₂ = n₁ sin(45) / sin(15) = 1.33
Therefore, the index of refraction of the prism is approximately 1.33.
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A face of a prism of refracting angle 30o is silvered. A ray of light is incident on the other face at angle of incidence 45o. After refection from the silvered face, ray retraces its path. The index of refraction of prism will bea)4b)2c)√2d)1/√2Correct answer is option 'C'. Can you explain this answer?
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A face of a prism of refracting angle 30o is silvered. A ray of light is incident on the other face at angle of incidence 45o. After refection from the silvered face, ray retraces its path. The index of refraction of prism will bea)4b)2c)√2d)1/√2Correct answer is option 'C'. 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 face of a prism of refracting angle 30o is silvered. A ray of light is incident on the other face at angle of incidence 45o. After refection from the silvered face, ray retraces its path. The index of refraction of prism will bea)4b)2c)√2d)1/√2Correct answer is option 'C'. 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 face of a prism of refracting angle 30o is silvered. A ray of light is incident on the other face at angle of incidence 45o. After refection from the silvered face, ray retraces its path. The index of refraction of prism will bea)4b)2c)√2d)1/√2Correct answer is option 'C'. Can you explain this answer?.
A face of a prism of refracting angle 30o is silvered. A ray of light is incident on the other face at angle of incidence 45o. After refection from the silvered face, ray retraces its path. The index of refraction of prism will bea)4b)2c)√2d)1/√2Correct answer is option 'C'. 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 face of a prism of refracting angle 30o is silvered. A ray of light is incident on the other face at angle of incidence 45o. After refection from the silvered face, ray retraces its path. The index of refraction of prism will bea)4b)2c)√2d)1/√2Correct answer is option 'C'. 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 face of a prism of refracting angle 30o is silvered. A ray of light is incident on the other face at angle of incidence 45o. After refection from the silvered face, ray retraces its path. The index of refraction of prism will bea)4b)2c)√2d)1/√2Correct answer is option 'C'. Can you explain this answer?.
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