The electron in an (unbound) hydrogen atom (H(g)) is excited from the ground state to the n=3 state.Which of the following statements are true and which are false.The wavelength of the light emitted when the electron returns to the ground state from n=3 is the same as the wavelength of light absorbed to go from n=1 to n=3.The wavelength of light emitted when the electron drops from n=3 to n=2 is shorter than the wavelength of light emitted if the electron falls from n=3 to n=1.The first excited state corresponds to n=2.The electron is farther from the nucleus on average in the n=3 state than in the ground state.It takes more energy to ionize the electron from n=3 than it does from the ground state.

Question
Asked Nov 15, 2019
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The electron in an (unbound) hydrogen atom (H(g)) is excited from the ground state to the n=3 state.
Which of the following statements are true and which are false.

The wavelength of the light emitted when the electron returns to the ground state from n=3 is the same as the wavelength of light absorbed to go from n=1 to n=3.

The wavelength of light emitted when the electron drops from n=3 to n=2 is shorter than the wavelength of light emitted if the electron falls from n=3 to n=1.

The first excited state corresponds to n=2.

The electron is farther from the nucleus on average in the n=3 state than in the ground state.

It takes more energy to ionize the electron from n=3 than it does from the ground state.

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Expert Answer

Step 1

The emission spectrum for a given element or a compound refers to the spectrum of frequencies of the electromagnetic radiations that are emitted because atoms or the molecules make a transition from the higher energy level to lower energy levels. 

Step 2

When the electrons are dropped from the excited energy state to the ground state, energy gets released in the form of electromagnetic radiations. The electrons in the atom which are excited by some additional means such as heating, the extra energy is required to push the electrons to higher energy orbitals.

Step 3

The energy and wavelength of a given transition are inversely proportional to each other by the following equation as foll...

hc
E=
hc
AE= 13.6
1
1
eV
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hc E= hc AE= 13.6 1 1 eV

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