Question 55

Emission transitions in the Paschen series end at orbit n = 3 and start from orbit n and can be represented as v = 3.29 × 1015 (Hz) [1/32 – 1/n2]

Calculate the value of n if the transition is observed at 1285 nm. Find the region of the spectrum.

Answer

V = c/λ = 3x108/1285x10-9

= 3.29 x 1015(1/32 – 1/n2)

= 1/n2 = 1/9 - 3x108/1285x10-9 x (1 / 3.29 x 1015)

= 0.111- 0.071 = 0.04 or 1/25

Or

n2 = 25,

n= 5

The spectrum lies in the infra-red region.

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