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Concepts Of Physics MCQ Edition [Volume 1]PhysicsLight Waves

In air, sodium light has a wavelength of 589 nm . Determine its speed in water (refractive index = 1.33 ).

Options

  1. A1.76 10^8 m s ⁻¹
  2. B2.25 10^8 m s ⁻¹
  3. C3.99 10^8 m s ⁻¹
  4. D3.00 10^8 m s ⁻¹

Correct answer

B. 2.25 10^8 m s ⁻¹

Step-by-step solution

The speed of light in a medium is given by the relation v = c n , where c is the speed of light in vacuum and n is the refractive index of the medium. Given c = 3.00 10^8 m s ⁻¹ and n = 1.33 4 3 . Substituting the values: v = 3.00 10^8 4/3 = 2.25 10^8 m s ⁻¹

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