Atomic StructureHard
Question
For the Hydrogen spectrum, last line of the Lyman series has frequency v1, last line of Lymen series of He+ ion has frequency v2 and last line of Balmer series of He+ ion has frequency v3 then
Options
A.2(v1 + v3) = v2
B.v1 = v3
C.4v1 = v2
D.v2 = v3
Solution
v1 = Rc(1)2
= Rc.
v2 = Rc(2)2
= 4Rc.
v3 = Rc(2)2
= Rc.
∴ 2(v1 + v3) = v2 and v1 = v3 and 4v1 = v2
= Rc.v2 = Rc(2)2
= 4Rc.v3 = Rc(2)2
= Rc.∴ 2(v1 + v3) = v2 and v1 = v3 and 4v1 = v2
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