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Geometrical Optics question

2025 · 7 Apr · Shift 2 · Q54
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Geometrical Optics question

2025 · 7 Apr · Shift 2 · Q54

JEE MainPhysicsGeometrical OpticsMCQ+4 / −1
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Refractive index of glass is higher than that of air. Reason (R): Optical density of a medium is directly proportionate to its mass density which results in a proportionate refractive index. In the light of the above statements, choose the most appropriate answer from the options given below:
  1. A
    Both (A) and (R) are correct and (R) is the correct explanation of (A)
  2. B
    (A) is correct but (R) is not correct
  3. C
    (A) is not correct but (R) is correct
  4. D
    Both (A) and (R) are correct but (R) is not the correct explanation of (A)
View written solutionFree

Correct answer: B

  1. Evaluate Assertion (A):
    Assertion: Refractive index of glass is higher than that of air.

    This is true. Typically, nair≈1.0003,nglass≈1.5n_{\text{air}} \approx 1.0003, \qquad n_{\text{glass}} \approx 1.5nair​≈1.0003,nglass​≈1.5 Hence, nglass>nairn_{\text{glass}} > n_{\text{air}}nglass​>nair​ So, Assertion (A) is correct.

  2. Evaluate Reason (R):
    Reason: Optical density of a medium is directly proportionate to its mass density which results in a proportionate refractive index.

    This statement is not generally correct.

    • Optical density refers to how much a medium slows down light, and it is related to the refractive index.
    • It is not necessarily directly proportional to mass density.
    • There are substances with higher mass density but lower refractive index than others, so no universal direct proportionality exists.

    Thus, Reason (R) is incorrect.

  3. Choose the correct option:

    Since:

    • (A) is correct
    • (R) is not correct

    the correct option is: B\boxed{\text{B}}B​

  4. Compare with stored correct answer:
    Stored correct answer = B
    Derived answer = B

    Therefore, they agree.

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