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JEE Main 2025 Apr 7 Shift 2, Physics Q14: Refraction at Plane and Spherical surfaces

JEE Main2025Apr 7, Shift 2Physics
Q.

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

    (A) is not correct but (R) is correct

  2. B

    Both (A) and (R) are correct and (R) is the correct explanation of (A)

  3. C

    (A) is correct but (R) is not correct

  4. D

    Both (A) and (R) are correct but (R) is not the correct explanation of (A)

Solution

Glass indeed has a higher refractive index (about 1.5) than air (about 1.0003), so the assertion is correct.

However, optical density (refractive index) and mass density are distinct physical properties: optical density is governed by how light interacts electromagnetically with the medium, whereas mass density is simply mass per unit volume. There is no general proportionality between them, and counter-examples exist (for instance, kerosene has a lower mass density than water but a higher refractive index). Hence the reason is incorrect.

Concept behind this question

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