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The ratio of wavelengths of the last line of Balmer series and the last line of Lyman series is :-
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- 1
- 4
- 0.5
- 2
Correct Option: B
For last line of Balmer series :
n1 = 2 and n2 = ∞
| = RZ2 | ![]() | - | ![]() | = R21 | ![]() | - | ![]() | |||||
| λB | n21 | n22 | 22 | ∞2 |
| λB = | ...........(i) | R |
For last line of Lyman series : n1 = 1 and n2 = ∞
| = RZ2 | ![]() | - | ![]() | = RZ2 | ![]() | - | ![]() | |||||
| λL | n21 | n22 | 12 | ∞2 |
| λL = | ...........(ii) | R |
Dividing equation (i) by (ii)
| = | |||
| λB | |||
| λL | |||
| R |
Ratio of wavelengths is
| = 4 | λL |

