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### (a) Wavelength Calculation for He⁺ Ion (Transition: n = 4 to n = 2) The wavelength of light emitted during an electron transition in a hydrogen-like ion can be found using the Rydberg formula: \[ \frac{1}{\lambda} = R Z^2 \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right) \] ___ ____ _____ ____ _____ ______ ____ _________ _______ ___ ________.
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