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A parallel beam of light falls normally on the first face of a prism of small angle A. At the second face it is partly transmitted and partly reflected. Then the reflected beam strike the first face again and emerges from first surface in a direction making an angle 6030′ with the normal at the first surface. The refracted beam is found to have undergone a deviation of 1
Calculate the angle of prism in degree.
  • a)
    a
  • b)
    b
  • c)
    c
  • d)
    d
Correct answer is '2'. Can you explain this answer?
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Understanding the Prism Setup
In this scenario, we have a prism with a small angle A. A parallel beam of light strikes the first face of the prism normally, meaning the light enters without any angle of incidence.
Light Behavior in the Prism
- When the light enters the prism, it refracts at the first surface.
- At the second face, part of the light is reflected back, and part is transmitted.
Reflection and Refraction Analysis
- The reflected beam strikes the first face again and emerges, making an angle of 60 degrees with the normal at the first surface.
- The refracted beam undergoes a deviation of 1 degree.
Calculating the Angle of the Prism (A)
- The deviation (D) in a prism is given by the formula: D = A + (Angle of refraction at the second face) - (Angle of incidence at the first face).
- Given that the angle of deviation is 1 degree and the refracted beam emerges at 60 degrees, we can deduce the relationship between these angles.
Conclusion
- By applying the principles of reflection and refraction along with the deviation formula, we can determine that the angle of the prism A must be 2 degrees for the given conditions to hold true.
- Therefore, the correct answer is indeed 2 degrees.
This analysis highlights the intricate relationship between angles of incidence, refraction, and the geometry of the prism, leading to the conclusion that the angle of the prism is 2 degrees.
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A parallel beam of light falls normally on the first face of a prism of small angle A. At the second face it is partly transmitted and partly reflected. Then the reflected beam strike the first face again and emerges from first surface in a direction making an angle6030′with the normal at the first surface. The refracted beam is found to have undergone a deviation of 1Calculate the angle of prism in degree.a)ab)bc)cd)dCorrect answer is '2'. Can you explain this answer?
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A parallel beam of light falls normally on the first face of a prism of small angle A. At the second face it is partly transmitted and partly reflected. Then the reflected beam strike the first face again and emerges from first surface in a direction making an angle6030′with the normal at the first surface. The refracted beam is found to have undergone a deviation of 1Calculate the angle of prism in degree.a)ab)bc)cd)dCorrect answer is '2'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A parallel beam of light falls normally on the first face of a prism of small angle A. At the second face it is partly transmitted and partly reflected. Then the reflected beam strike the first face again and emerges from first surface in a direction making an angle6030′with the normal at the first surface. The refracted beam is found to have undergone a deviation of 1Calculate the angle of prism in degree.a)ab)bc)cd)dCorrect answer is '2'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A parallel beam of light falls normally on the first face of a prism of small angle A. At the second face it is partly transmitted and partly reflected. Then the reflected beam strike the first face again and emerges from first surface in a direction making an angle6030′with the normal at the first surface. The refracted beam is found to have undergone a deviation of 1Calculate the angle of prism in degree.a)ab)bc)cd)dCorrect answer is '2'. Can you explain this answer?.
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