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. 1) the first excited state corresponds to n=3. 2) 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. 3) it takes more energy to ionize the electron from n=3 than it does from the ground state. 4) the wavelength of the light emitted when the electron returns to the ground state from n=3 is larger than the wavelength of light absorbed to go from n=1 to n=3. 5) the electron is farther from the nucleus on average in the n=3 state than in the ground state.

1) FALSE

2) TRUE

3) FALSE

4) FALSE

5) TRUE

Explanation:

1) The first excited state corresponds to n=3. FALSE. The ground state corresponds to n=1 and first excited state corresponds to n=2.

2) 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. TRUE. As the n=2 state is in a higher energy than n=1, the energy difference between n=2 and n=3 are shorter than differences between n=1 and n=3 states.

3) It takes more energy to ionize the electron from n=3 than it does from the ground state. FALSE. An electron with a high energy will be less-atracted by the nucleus than a electron with a low energy because is farther of it.

4) The wavelength of the light emitted when the electron returns to the ground state from n=3 is larger than the wavelength of light absorbed to go from n=1 to n=3. FALSE. The energy differences in light emitted and light absorbed is the same.

5) The electron is farther from the nucleus on average in the n=3 state than in the ground state. TRUE. According Bohr's model, the greater energy level, the farther from the nucleus it is.

I hope it helps!