Match each transition in Column I with the statements in Column II that are true for the emitted photon ( E 1 of H = − 13.6 eV; R is the Rydberg constant) (a Column I entry may match more than one C

Question

Match each transition in Column I with the statements in Column II that are true for the emitted photon $(E_{1}$ of $H = - 13.6$ eV; R is the Rydberg constant) (a Column I entry may match more than one Column II entry):

Column I (Transition)	Column II (Statement)
(P) H: $n = 3$ to $n = 2$	(1) belongs to the series with $n_{1} = 2$
(Q) H: $n = 4$ to $n = 1$	(2) belongs to the series with $n_{1} = 1$
(R) $H e^{+} : n = 2$ to $n = 1$	(3) photon energy = 10.2 eV
(S) $H e^{+} : n = 4$ to $n = 2$	(4) photon energy = 12.75 eV
	(5) wave number = 3R
	(6) photon energy = 1.89 eV

Choose the option with the correct matching:

TestHub · Accepted Answer

E = 13.6 Z 2 ( 1/ n 1 2 ​ − 1/ n 2 2 ​ ) eV. (P) 13.6(1/4 - 1/9) = 1.89 eV (6), n 1 ​ = 2 (1). (Q) 13.6(1 - 1/16) = 12.75 eV (4), n 1 ​ = 1 (2). (R) 13.6 × 4 × ( 3/4 ) = 40.8 eV, n 1 ​ = 1 (2); wave number = 4 R ( 3/4 ) = 3 R (5). (S) 13.6 × 4 × ( 1/4 − 1/16 ) = 10.2 eV (3), n 1 ​ = 2 (1); wave number = 3R/4, not 3R. Correct matching: P to 1,6; Q to 2,4; R to 2,5; S to 1,3. Answer: (C).

Chemistry - Atomic Structure Question with Solution | TestHub

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