The wave number of the first line in the lyman series in hydrogen spectrum is
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The so-called Lyman series of lines in the emission spectrum of hydrogen corresponds to transitions from various excited states to the n = 1 orbit. Calculate the wavelength of the lowest-energy line in the Lyman series to three significant figures.
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Explanation:
Wave number = 1λ = R x Z2(1n21 - 1n22), where R is Rydberg constant and Z is the atomic number.
For hydrogen (H), Z = 1 while for Li+2, Z = 3.
n = 3 to n = 2, represents 1st line of Balmer series.
Wave number (H) = R x 12(122 - 132) = 15200 cm−1
Wave number (Li+2) = R x 32(122 - 132) = 15200 cm−1 x 32 = 15200 x 9 = 136800 cm−1
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