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15 May, 20:06

The speed of a light wave in a certain transparent material is 0.6310.631 times its speed in vacuum, which is 3.00*108 m/s3.00*108 m/s. When yellow light with a frequency of 5.15*1014 Hz 5.15*1014 Hz passes through this material, what is its wavelength in nanometers

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  1. 16 May, 00:03
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    367.57 nm

    Explanation:

    Given that the speed of the light in certain material is 0.6310 times the speed of light in vacuum.

    Speed of light in vacuum = 3*10⁸ m/s

    Speed of the light in that material = 0.6310*3*10⁸ m/s = 1.893*10⁸ m/s

    The frequency of the light does not change but the wavelength of the light changes with change in the speed when light travels from one medium to another.

    Thus, frequency = 5.15*10¹⁴ Hz

    Using,

    c = frequency * Wavelength

    Wavelength = c / frequency = (1.893*10⁸ m/s) / (5.15*10¹⁴ Hz) = 367.57*10⁻⁹ m

    Also,

    1 nm = 10⁻⁹ m

    So, wavelength = 367.57 nm
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