An electron in a hydrogen atom is excited from the ground state to the n -5 stat

Question

An electron in a hydrogen atom is excited from the ground state to the n -5 state. Decide if the following statements are true or false. (a) n = 5 is the first excited state. O True False (b) It takes more energy to ionize (remove) the electron from n-5 than from the ground state. O True False (e) The electron is farther from the nucleus (on average) in n-5 than in the ground state. O True False (d) The wavelength of light emitted when the electron drops from n-5 ton-1 is longer than that from n:= 5 to n = 2. True False (e) The wavelength the atom absorbs in going from n = 1 to n-5 is the same as that emitted as it goes from n = 5 to n = 1. True False

Explanation / Answer

(a) False, n=2 is the first excited state.

(b) False; n=5 one is much closer (9 fold) to the zero energy, at which point the electron is ionized, or set free. Outer electrons are more loosely bound and don't need as much energy to ionize.

(c) True

(d) False The energy drop is more to go from 5 to 1 than 5 to 2, so the frequency is larger, so the wavelength is shorter (not longer).

(e) True

Thank You

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