JEE Main Optics: Wave Optics – Chapter Test

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Difficulty: 6 medium · 14 hard

Wave Optics MCQ questions with answers

The first 3 of 20 questions. Unlock the series for the rest, each with a solution.

1. Q1. Brewster's law relates the polarizing angle θ_B of a transparent medium to its refractive index n as:

   ब्रूस्टर का नियम किसी पारदर्शी माध्यम के ध्रुवण कोण θ_B को उसके अपवर्तनांक n से निम्नानुसार संबंधित करता है:

   • A. cos θ_B = n
   • B. tan θ_B = n
   • C. sin θ_B = n
   • D. cot θ_B = n
   Solution

   Brewster's law states tan θ_B = n; at this angle the reflected light is completely plane-polarized and the reflected and refracted rays are mutually perpendicular.

   ब्रूस्टर का नियम बताता है tan θ_B = n; इस कोण पर परावर्तित प्रकाश पूर्णतः तलध्रुवित होता है और परावर्तित तथा अपवर्तित किरणें परस्पर लंबवत होती हैं।

2. Q2. Unpolarized light is incident on a glass surface of refractive index 1.5 from air. The angle of incidence at which the reflected light is completely plane-polarized is approximately:

   अध्रुवित प्रकाश वायु से 1.5 अपवर्तनांक के काँच के पृष्ठ पर आपतित होता है। वह आपतन कोण जिस पर परावर्तित प्रकाश पूर्णतः तलध्रुवित होता है, लगभग है:

   • A. 41.8°
   • B. 56.3°
   • C. 33.7°
   • D. 48.6°
   Solution

   At Brewster's angle tan θ_B = n = 1.5, so θ_B = arctan(1.5) ≈ 56.3°.

   ब्रूस्टर कोण पर tan θ_B = n = 1.5, अतः θ_B = arctan(1.5) ≈ 56.3°।

3. Q3. Christiaan Huygens presented his wave theory of light, including the construction of secondary wavelets, in a 1690 treatise titled:

   क्रिस्टियान ह्यूगेन्स ने द्वितीयक तरंगिकाओं की रचना सहित अपना प्रकाश का तरंग सिद्धांत 1690 के एक ग्रंथ में प्रस्तुत किया जिसका शीर्षक था:

   • A. Opticks
   • B. Traité de la lumière
   • C. Micrographia
   • D. Principia
   Solution

   Huygens' wave theory was published in Traité de la lumière (1690). Opticks (1704) is Newton's work, Micrographia (1665) is Hooke's, and Principia (1687) is Newton's mechanics treatise.

   ह्यूगेन्स का तरंग सिद्धांत Traité de la lumière (1690) में प्रकाशित हुआ था। Opticks (1704) न्यूटन की रचना है, Micrographia (1665) हुक की है, और Principia (1687) न्यूटन का यांत्रिकी ग्रंथ है।

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