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Question:
What is the shortest wavelength present in the Paschen series of spectral lines?
Answer:

Rydberges  formula,

hc/λ = 21.76 x 10-19(1/n12 - 1/n22)     

{h= plank s constant = 6.6 x10-34 js, c=Speed of light = 3 x 108 m/s, n1 and na are integer}

where n1 = 3, and n2 =∞

or, hc/λ = 21.76 x 10-19(1/32-1/∞2)

λ = 6.6 x 10-34 x 3 x 108 x 9/ 21.76 x 10-19 = 8.189 x 10-7 = 818.9 nm

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