In the spectrum of hydrogen, the ratio of the longest wavelength

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In the spectrum of hydrogen, the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series is

For Lyman series (2 → 1)

	1	= R		1 -	1		=	3R
	λ_L				2²			4

For Balmer series (3 → 2)

1	= R		1	-	1		=	5R
λ_B			4		9			36