JEE Main · 2007 · 29 Apr 2007 · Offline · Modern Physics

Which of the following transitions in hydrogen atoms emit photons of highest frequency?

(A) $n = 2$ to $n = 6$
(B) $n = 6$ to $n = 2$
(C) $n = 2$ to $n = 1$ ✓ Correct
(D) $n = 1$ to $n = 2$

Answer: (C)

Solution

The frequency of an emitted photon follows

h ν = R h c z^{2} (\frac{1}{n _{1}^{2}} - \frac{1}{n _{2}^{2}})

, so the highest frequency accompanies the largest energy gap. Among the downward jumps, the transition from

n = 2

n = 1

spans the greatest difference in

\frac{1}{n ^{2}}

, and so it emits the photon of highest frequency.

JEE Main · 2007 · 29 Apr 2007 · Offline · Single correct option

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