According to Bohr's theory, = Total energy, = Kinetic energy, = Potential energy, = Radius of nth or — Atomic Structure Chemistry Question
Question
According to Bohr's theory, $E_n$ = Total energy, $K_n$ = Kinetic energy, $V_n$ = Potential energy, $r_n$ = Radius of nth orbit. Match the following:
Answer: A-R; B-Q; C-P; D-S
💡 Solution & Explanation
(A) $V_n = -2K_n$, so $V_n/K_n = -2$ (Matches R). (B) $r_n \propto n^2$ and $E_n \propto 1/n^2$, meaning $r_n \propto 1/E_n = E_n^{-1}$. Thus $x = -1$ (Matches Q). (C) The lowest energy state is 1s, where $l=0$. Orbital angular momentum is $\sqrt{l(l+1)}h/2\pi = 0$ (Matches P). (D) $1/r_n \propto Z^y$. Since $r_n \propto n^2/Z$, $1/r_n \propto Z$. Thus $y = 1$ (Matches S). Therefore, correct answer is A-R; B-Q; C-P; D-S.
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