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If the Bohr radius of the n = 3 state of a hydrogen atom is R, then the radius of the ground state is A. 9R. B. 3R. C.R/3. D. R/9. Answer is D, please explain and write clearly.

An electron is excited from the n=1 ground state to the n=3 state in a hydrogen atom. Which of the following statements are true? Correct the false statements to make them true. (It may help to draw the Bohr model of the atom with the corresponding electron orbits.)a. It takes more energy to ionize (completely remove) the electron from n = 3 than from the ground state.b. The electron is farther from the nucleus on average in the n = 3 state than in the n = 1 state.c. The wavelength of light emitted if the electron drops from n = 3 to n = 2 will be shorter than the wavelength of light emitted if the electron falls from n = 3 to n = 1.d. The wavelength of light emitted when the electron returns to the ground state from n = 3 will be the same as the wavelength of light absorbed to go from n = 1 to n = 3.e. For n = 3, the electron is in the first excited state.

An electron in an excited energy state of the Hydrogen atom has an energy En = 0.85 eV which is 12.75 eV above the ground state. What is the radius rn of the electron’s orbit? Select one: a. 4.77 angstroms b. 8.47 angstroms c. 13.23 angstroms d. 2.12 angstroms