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For the hydrogen spectrum (take 1/R = 912 A), match each item in List-I with the correct wavelength in List-II. List-I (P) Shortest wavelength of the Lyman series (Q) Wavelength of the first line of the Lyman series (R) Longest wavelength of the Lyman series (S) Shortest wavelength of the Balmer series List-II (1) 6566 A (2) 912 A (3) 1216 A (4) 3648 A
- P->2, Q->3, R->1, S->4
- P->2, Q->3, R->4, S->1
- P->3, Q->2, R->4, S->1
- P->3, Q->3, R->2, S->1
Correct answer: P->2, Q->3, R->1, S->4
Solution
P (shortest Lyman, n->inf): lambda = 1/R = 912 A -> (2). Q and R both correspond to the first Lyman line (n=2->1) = 1216 A -> (3). S (shortest Balmer, n->inf): lambda = 4/R = 3648 A -> (4). Option A has P->2, Q->3, R->1, S->4; since R->1 (6566 A) does not match Lyman, this option has an error, but it is the closest among the given choices.
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