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20 July, 17:51

The wavelength of red light is given as 6.5 * 10-7 m. If another wave of an unknown type has a frequency of 5.3 * 1015 Hz. What is the relation between the wavelength of the unknown wave and red light? (note: c = 2.998 * 108 m/s)

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  1. 20 July, 18:05
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    For this problem we use the wave equation. It is expressed as the speed (c) is equal to the product of frequency (f) and wavelength (v).

    c = v x f

    We know the wavelength of the an red light which is 6.5 x 10^-7 m. Now, we solve for the wavelength of the unknown wave to see the relation between the two waves.

    2.998 X 10^8 = 5.3 X 10^15 X v

    v = 2.998 X 10^8 / (5.3 X 10^15) = 5.657 X 10^-8 m

    Therefore, the wavelength of the unknown wave is less than the wavelength of the red light.
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