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Consider the following statements :
Statement I : Light travels faster in air than in water.
Statement II : Refractive index of air is greater than that of water.

  • A.Statement I is correct, statement II is wrong.
  • B.Statement I is wrong, statement II is correct.
  • C.Both statements are correct, statement II is the correct explanation of statement I.
  • D.Both statements are correct, statement II is not the correct explanation of statement I.

Answer: A

Statement I is correct, statement II is wrong.

Light travels at about \(3 \times 10^{8}\) m/s in air and about \(2.25 \times 10^{8}\) m/s in water, so statement I is true.

Refractive index is \(n = \frac{c}{v}\): the slower the light, the higher the index. Water's index (about 1.33) is greater than air's (about 1.0003), so statement II is false. In fact the truth is the reverse of statement II, which is why it cannot explain statement I.

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