Physics PYQ 212 of 350 · Optics

Given below are two statements, one labelled as Assertion (A) and the other labelled as Reason (R).

Assertion (A): Kerosene has a higher refractive index (1.44) than water (1.33).

Reason (R): The refractive index of a medium depends on its mass density: the greater the mass density, the greater the speed of light through it.

  1. ABoth (A) and (R) are true, and (R) is the correct explanation of (A)
  2. BBoth (A) and (R) are true, but (R) is not the correct explanation of (A)
  3. C(A) is true, but (R) is false
  4. D(A) is false, but (R) is true

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Correct answer: (c) (A) is true, but (R) is false

Explanation

(A) is true and (R) is false.

  • (A): kerosene's refractive index (about 1.44) is higher than water's (about 1.33). So kerosene is optically denser, even though it is lighter and floats on water.
  • (R): refractive index depends on optical density, not on mass density. Also, light slows down in an optically denser medium (n = c/v), so a higher refractive index means a lower speed of light, not a higher one.
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