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The largest wavelength in the ultraviole...

The largest wavelength in the ultraviolet region of the hydrogen spectrum is 122 nm. The smallest wavelength in the infrared region of the hydrogen spectrum (to the nearest integer) is

A

802 nm

B

823 nm

C

1882 nm

D

1648 nm

Text Solution

Verified by Experts

The correct Answer is:
B
The series in UV region is Lyman series. Longest wavelength corresponds to minimum energy which occurs in transition from n = 2 to n = 1.
`therefore 122=(1//R)/(1/1^(2)-1/2^(2))" …(i)"`
The smallest wavelength in the infrared region corresponds to maximum energy of Paschen series.
`lambda=(1//R)/(1/3^(2)-1/infty)" ...(ii)"`
From (i) and (ii), we get `lambda=823.5 nm cong 823 nm`
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