A. The wavelength of light that is emitted is 122 nm.
Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
When an electron falls from the n = 2 to the n = 1 energy levels in a Hydrogen atom, the wavelength of light is emitted is calculated as follows;
¹/λ = R(1/n₁² - 1/n₂²)
¹/λ = 109677(1/1 - 1/2²)
¹/λ = 109677(1 - ¹/₄)
¹/λ = 82,257.25
λ = 1/8,225.25
λ = 1.22 x 10⁻⁵ cm
λ = 1.22 x 10⁻⁷ m
λ = 122 nm
Thus, the wavelength of light that is emitted is 122 nm.
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