Final answer:
The energy of an electron in the n = 6 state of a hydrogen atom can be calculated using the formula E = -13.6 eV/n^2. The energy is -0.378 eV or -6.0671 x 10^-2 aj.
Step-by-step explanation:
The energy of an electron in the n = 6 state of a hydrogen atom can be calculated using the formula E = -13.6 eV/n^2, where n is the principal quantum number. Plugging in n = 6, we get:
E = -13.6 eV/6^2 = -13.6 eV/36 = -0.378 eV.
To convert this energy to attojoules (aj), we can use the conversion factor 1 eV = 1.6022 x 10^-19 joules:
E = -0.378 eV x 1.6022 x 10^-19 joules/eV = -6.0671 x 10^-20 joules.
Finally, converting to attojoules, we can use the conversion factor 1 joule = 10^18 attojoules:
E = -6.0671 x 10^-20 joules x 10^18 attojoules/joule = -6.0671 x 10^-2 aj.