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2 September, 00:36

Light with a wavelength of 600 nm is incident on a gemstone made of cubic zirconia (ᡦ = 2.18) from air. The light makes an angle of 30° with the surface of the gem before entering it. The refracted ray makes an angle of 30° with the normal. What is the frequency of the light in the gemstone? (1 THz = 1 terahertz = 10ଵଶ Hz)

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  1. 2 September, 00:59
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    500 THz.

    Explanation:

    Velocity of light in air = 3 x10⁸ m / s

    wave length of light = 600 nm

    = 600 x 10⁻⁹ m

    = 6 x 10⁻⁷ m

    frequency in air = velocity in air / wave length in air

    = 3 x 10⁸ / 6 x 10⁻⁷

    =.5 x 10¹⁵ Hz

    = 5 x 10¹⁴Hz

    = 500 x 10¹² Hz

    = 500 THz

    When light enters the medium of gem, its wavelength and velocity changes in such a way that its frequency remains constant. So in the medium of gem also its frequency remains 500 THz.
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