Match the column: β Atomic Structure Chemistry Question
Question
Match the column:
Answer: A-P,U; B-Q,T; C-S,W; D-R,V
π‘ Solution & Explanation
(A) Radius $r \propto n^2/Z \to$ depends on $n^2$ (P) and $1/Z$ (U). (B) Speed $v \propto Z/n \to$ depends on $1/n$ (Q) and $Z$ (T). (C) Centripetal force $F \propto Z/r^2 \propto Z / (n^2/Z)^2 = Z^3/n^4 \to$ depends on $1/n^4$ (S) and $Z^3$ (W). (D) Frequency $f = v/(2\pi r) \propto (Z/n) / (n^2/Z) = Z^2/n^3 \to$ depends on $1/n^3$ (R) and $Z^2$ (V). Therefore, correct answer is A-P,U; B-Q,T; C-S,W; D-R,V.
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