Science, Tech, Math › Science Bohr Atom Energy Level Example Problem Share Flipboard Email Print MEHAU KULYK/Getty Images Science Chemistry Basics Chemical Laws Molecules Periodic Table Projects & Experiments Scientific Method Biochemistry Physical Chemistry Medical Chemistry Chemistry In Everyday Life Famous Chemists Activities for Kids Abbreviations & Acronyms Biology Physics Geology Astronomy Weather & Climate By Todd Helmenstine Todd Helmenstine is a science writer and illustrator who has taught physics and math at the college level. He holds bachelor's degrees in both physics and mathematics. our editorial process Todd Helmenstine Updated August 20, 2018 This example problem demonstrates how to find the energy that corresponds to an energy level of a Bohr atom. Problem: What is the energy of an electron in the 𝑛=3 energy state of a hydrogen atom? Solution: E = hν = hc/λ According to the Rydberg formula: 1/λ = R(Z2/n2) where R = 1.097 x 107 m-1Z = Atomic number of the atom (Z=1 for hydrogen) Combine these formulas: E = hcR(Z2/n2) h = 6.626 x 10-34 J·sc = 3 x 108 m/secR = 1.097 x 107 m-1 hcR = 6.626 x 10-34 J·s x 3 x 108 m/sec x 1.097 x 107 m-1hcR = 2.18 x 10-18 J E = 2.18 x 10-18 J(Z2/n2) E = 2.18 x 10-18 J(12/32)E = 2.18 x 10-18 J(1/9)E = 2.42 x 10-19 J Answer: The energy of an electron in the n=3 energy state of a hydrogen atom is 2.42 x 10-19 J.