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2 January, 20:14

1. What is the frequency of light having a wavelength of 406 nm?

2. What is the wavelength (in nm) of radiation having a frequency of 2.09 * 109 Hz?

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  1. 3 January, 00:05
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    1. frequency = 7.39 * 10¹⁴ Hz

    2. wavelength = 1.44 * 10⁸ nm

    Explanation:

    The speed, frequency and wavelength of waves are related by the formula;

    speed = wavelength * frequency

    1. wavelength of light = 406 nm = 4.06 * 10⁻⁷ m

    speed of light is a constant = 3.0 * 10⁸ m/s

    From the formula above, frequency = speed / wavelength

    therefore, frequency = (3.0 * 10⁸ m/s) / 4.06 * 10⁻⁷ m

    frequency = 7.39 * 10¹⁴ Hz

    2. From the equation above, wavelength = speed/frequency

    speed of radiation = 3.0 * 10⁸ m/s

    frequency = 2.09 * 10⁹ Hz or 2.09 * 10⁹ s⁻¹

    therefore, wavelength = (3.0 * 10⁸ m/s) / 2.09 * 10⁹ s⁻¹

    wavelength = 1.44 * 10⁸ nm
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