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What would be the wavelength of a photon emitted when the electron in a hydrogen atom moves from the \( n = 5 \) to \( n = 3 \) state?

a) 121.6 nm
b) 102.7 nm
c) 97.3 nm
d) 94.5 nm

Answer :

Final answer:

To find the wavelength of a photon emitted in a hydrogen atom transition, use the Rydberg formula with given energy levels to calculate the wavelength, resulting in about 97.3 nm (option c).

Explanation:

The wavelength of the photon emitted when the electron in a hydrogen atom moves from the n = 5 to n = 3 states can be calculated using the formula:

1/λ = R(1/n1^2 - 1/n2^2)

where R is the Rydberg constant, n1 = 5, n2 = 3. Substituting the values gives a wavelength of approximately 97.3 nm. Hence, the correct option is c.

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