271. The hydrogen-like atom has one electron revolving around a stationary nucleus. The energy required to execute electron from the second orbit to the third orbit is 42.7eV. The atomic number of the atom is _______?
- A. 4
- B. 3
- C. None of these
- D. 6
Check answer and explanation
Answer: 4
Explanation The energy required to excite an electron from the second orbit to the third orbit is: ΔE = 13.6Z^2(1/4 - 1/9) eV Given ΔE = 42.7 eV: 42.7 = 13.6Z^2(1/4 - 1/9) Solving for Z: Z = 4