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AIIMS 201827 May
Exam
AIIMS
Year
2018
Date
27 May
Subject
Physics
Chapter
Atomic Physics

AIIMS 2018 · 27 May · Physics · Atomic Physics

The largest wavelength in the ultraviolet region of the hydrogen...

The largest wavelength in the ultraviolet region of the hydrogen spectrum is 122 nm122 \mathrm{~nm}. The smallest wavelength in the infrared region of the hydrogen spectrum (to the nearest integer) isThe largest wavelength in the ultraviolet region of the hydrogen spectrum is 122 ~nm . The smallest wavelength in theThe largest wavelength in the ultraviolet region of the hydrogen spectrum is 122 ~nm . The smallest wavelength in the

Options

  1. A802 nm802 \mathrm{~nm}
  2. B823 nm823 \mathrm{~nm}
  3. C1882 nm1882 \mathrm{~nm}
  4. D1648 nm1648 \mathrm{~nm}

Correct answer

B. 823 nm823 \mathrm{~nm}

Step-by-step solution

The largest wavelength in the ultraviolet region of the hydrogen spectrum corresponds to the transition n=2n=2 to n=1n=1. That is, The largest wavelength in the ultraviolet region of the hydrogen spectrum is 122 ~nm . The smallest wavelength in the
The transition from n=∞n=\infty to n=3n=3 will produce the smallest wavelength in infrared region of the hydrogen spectrum. So,The largest wavelength in the ultraviolet region of the hydrogen spectrum is 122 ~nm . The smallest wavelength in the
Equations (i) and (ii) gives λ=823.5 nm\lambda=823.5 \mathrm{~nm}
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