Calculate the frequency of the green light emitted by a hydrogen atom with a wavelength of 546 nm.

Question

Calculate the frequency of the green light emitted by a hydrogen atom with a wavelength of 546 nm.

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Kim Cúc 4 years 2021-07-25T20:10:50+00:00 1 Answers 41 views 0

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  1. danthu
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    2021-07-25T20:12:03+00:00
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    Answer: The frequency of the green light emitted by a hydrogen atom with a wavelength of 546 nm is 5.49 \times 10^{14} s^{-1}.

    Explanation:

    Given: Wavelength = 546 nm (1 nm = 10^{-9} m) = 546 \times 10^{-9} m

    The relation between frequency and wavelength is as follows.

    \nu = \frac{c}{\lambda}

    where,

    \nu = frequency

    c = speed of light = 3.0 \times 10^{8} m/s

    \lambda = wavelength

    Substitute the values into above formula as follows.

    \nu = \frac{c}{\lambda}\\= \frac{3.0 \times 10^{8} m/s}{546 \times 10^{-9} m}\\= 5.49 \times 10^{14} s^{-1}

    Thus, we can conclude that the frequency of the green light emitted by a hydrogen atom with a wavelength of 546 nm is 5.49 \times 10^{14} s^{-1}.

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