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JEE Main levelSingle correct optionDifficulty 2 of 3as077

Use $R_{H} = 1.097 \times 1 0^{7} m^{- 1}$ . The shortest wavelength in the Paschen series of hydrogen is nearest to

A $820 nm$
B $1875 nm$
C $365 nm$
D $91 nm$

Answer: A

The series limit is

n = \infty \to 3

:

1/ λ = R_{H} /9

, so

λ = 9/ R_{H} = 820 nm

. The value

1875

nm is the longest Paschen line,

365

nm the Balmer limit and

91

nm the Lyman limit.

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