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21 April, 14:01

A student measures the speed of yellow light in water to be 2.00x10^8

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  1. 21 April, 15:06
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    NOTE: The given question is incomplete.

    The complete question is given below.

    A student measures the speed of yellow light in water to be 2.00 x 10⁸ m/s. Calculate the speed of light in air.

    Solution:

    Speed of yellow light in water (v) = 2.00 x 10⁸ m/s

    Refractive Index of water with respect to air (μ) = 4/3

    Refractive Index = Speed of yellow light in air / Speed of yellow light in water

    Or, The speed of yellow light in air = Refractive Index * Speed of yellow light in water

    or, = (4/3) * 2.00 x 10⁸ m/s

    or, = 2.67 * 10⁸ m/s ≈ 3.0 * 10⁸ m/s

    Hence, the required speed of yellow light in the air will be 3.0 * 10⁸ m/s.
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