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If the wavelengths of the first line of the Lyman series for the hydrogen atom is 1210   then the wavelength of the first line of the Balmer series of the hydrogen spectrum is

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a
6534Å
b
1210Å
c
2420Å
d
3660Å

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detailed solution

Correct option is A

we know that 1λ=R1n12−1n22  ForfirstlineofLymanseries, n1=1 and n2=2∣ 1λ1=R11−14=3R4 or R=43λ1  ForfirstlienofBalmerseries n1=2 and n2=3 1λ2=R14−19=5R36=53643λ1 or 1λ2=536×43×11210 or λ2=36×3×12105×4=6534Å


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