The shortest wavelength for Lyman series is 912 Å. The longest wavelength in Paschen series is (a) 1216 Å (b) 3646 Å (c) 18760 Å (d) 8208 Å

Answer: (c). Lyman shortest: λ = 1/R = 912 Å Paschen longest ( 4 → 3): (1)/(λ) = R(1/9-1/16) = 7R/144 λ = 144/7× 912 ≈ 18760 Å So the answer is (c) 18760 Å.

The shortest wavelength for Lyman series is 912 Å. The longest… | MHT CET 2021 (23 Sep, Shift 1)

Q42MHT CET 2021 · 23 SEP · SHIFT 1Medium

Hydrogen Spectrum & Spectral Series

The shortest wavelength for Lyman series is 912 $\text{Å}$ . The longest wavelength in Paschen series is

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Answer: (c)

Lyman shortest: $\lambda = \frac{1}{R} = 912\ \text{Å}$
Paschen longest ( $4 \to 3$ ): $\frac{1}{\lambda} = R\left(\frac{1}{9}-\frac{1}{16}\right) = \frac{7R}{144}$
$\lambda = \frac{144}{7}\times 912 \approx 18760\ \text{Å}$
So the answer is (c) 18760 Å.

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