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Light of wavelength 4000 Å is incident at small angle on a prism of apex angle 4º. The prism has nv = 1.5 & nr = 1.48. The angle of dispersion produced by the prism in this light is :    
  • a)
    0.2º    
  • b)
    0.08º
  • c)
    0.192º
  • d)
    none of these
Correct answer is option 'D'. Can you explain this answer?
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Light of wavelength 4000 Å is incident at small angle on a prism...
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Most Upvoted Answer
Light of wavelength 4000 Å is incident at small angle on a prism...
Because this light has only one wavelength. Dispersion takes place in white light not a single wavelength
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Light of wavelength 4000 Å is incident at small angle on a prism...
Explanation:

Given data:
- Wavelength of light, λ = 4000 Å
- Apex angle of prism, A = 4°
- Refractive index of prism, np = 1.5
- Refractive index of surrounding medium, nr = 1.48

Calculation:
- The angle of minimum deviation (δm) for a prism is given by the formula:
sin[(A + δm)/2] / sin(A/2) = np/nr
- For small angles of incidence, we can assume that sinδ ≈ tanδ ≈ δ (in radians)
- Therefore, the angle of dispersion (D) produced by the prism is given by:
D = δm - δ = 2δm - A
- Substituting the values in the formula, we get:
sin[(A + δm)/2] / sin(A/2) = np/nr
sin[(4° + δm)/2] / sin(2°) = 1.5/1.48
- Solving the above equation, we get:
δm ≈ 0.192°
Therefore, the angle of dispersion produced by the prism in this light is approximately 0.192°. Hence, the correct answer is option 'D'.
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Light of wavelength 4000 Å is incident at small angle on a prism of apex angle 4º. The prism has nv = 1.5 & nr = 1.48. The angle of dispersion produced by the prism in this light is : a)0.2º b)0.08ºc)0.192ºd)none of theseCorrect answer is option 'D'. 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 Light of wavelength 4000 Å is incident at small angle on a prism of apex angle 4º. The prism has nv = 1.5 & nr = 1.48. The angle of dispersion produced by the prism in this light is : a)0.2º b)0.08ºc)0.192ºd)none of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Light of wavelength 4000 Å is incident at small angle on a prism of apex angle 4º. The prism has nv = 1.5 & nr = 1.48. The angle of dispersion produced by the prism in this light is : a)0.2º b)0.08ºc)0.192ºd)none of theseCorrect answer is option 'D'. Can you explain this answer?.
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