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Concepts Of Physics MCQ Edition [Volume 1]PhysicsSpeed of Light

Light travels through a closed cylindrical tube filled with a gas. As the gas is gradually pumped out, the speed of light inside the tube will

Options

  1. Afirst increase and then decrease
  2. Bremain constant
  3. Cincrease
  4. Ddecrease

Correct answer

C. increase

Step-by-step solution

The speed of light in a medium is given by v = c , where c is the speed of light in vacuum and is the refractive index of the medium. The refractive index of a gas is slightly greater than 1 . As the gas is gradually pumped out, the density of the gas decreases, causing the medium inside the tube to approach a vacuum. Consequently, the refractive index of the gas decreases towards 1 . Since the refractive index decreases, the speed of light v inside the tube increases.

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