According to the Bohr theory of the hydrogen atom, the minimum energy (in J) needed to ionize a hydrogen atom from the n = 2 state is A) 2.18 × 10^-18J. B) 1.64 × 10^-18J. C) 5.45 × 10^-19J. D) 3.03 × 10^-19J. E) none of the above.

Question

Quizplus · Accepted Answer

According to the Bohr theory, the energy required to ionize a hydrogen atom from the n = 2 state is given by:

E = -RH(1/nf^2 - 1/ni^2)

where RH is the Rydberg constant, nf is the final state (in this case, infinity), and ni is the initial state (in this case, 2). Plugging in the values, we get:

E = -2.18 x 10^-18 J (1/∞^2 - 1/2^2)
E = 5.45 x 10^-19 J

Therefore, the answer is C: 5.45 x 10^-19 J.

According to the Bohr Theory of the Hydrogen Atom, the Minimum