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15 April, 03:12

Find the frequency of light f radiated by an electron moving from orbit n1=2 to n2=1 inside of a he + ion. express your answer in hertz to three significant figures.

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  1. 15 April, 03:29
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    According to the Bohr model of a hydrogen atom, the frequency of light radiated by an electron moving from an orbit n₁ to an orbit n₂ corresponds to the energy level difference between n₁ and n₂ of:

    E = E ₀ (1/n₁² - 1/n₂²)

    Where,

    E₀ = mₓZ²e⁴/32π²∈₀h²

    Where,

    mₓ is the electron mass

    Z is the atomic number

    e is the magnitude of the electron charge

    ∈₀ is the permittivity of free space

    h is Planck's constant divided by 2π.

    In the case of hydrogen (Z = 1).

    ∈₀ = - 13.6 eV

    The frequency of light f radiated by an electron = 9.860*10¹⁵ Hz
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