A particular hydrogen-like ion emits radiation of frequency $2.467 \times 10^{15} \text{ Hz}$ when it makes transition from $n = 2$ to $n = 1.$ What will be the frequency of the radiation emitted in a transition from $n = 3$ to $n = 1 ?$

$9.29 \times {10^{15}}\,\,{\text{Hz}}$

$0.92 \times {10^{15}}\,\,{\text{Hz}}$

$2.92 \times {10^{7}}\,\,{\text{Hz}}$

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JEE PHYSICS MCQ: ATOMS

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A particular hydrogen-like ion emits radiation of
frequency

2.467 \times 10^{15} \text{ Hz}

when it makes transition from

n = 2

n = 1.

What will be the frequency of the radiation
emitted in a transition from

n = 3

n = 1 ?

View answer and explanation

Correct option: A

2.92 \times {10^{15}}\,\,{\text{Hz}}

Option A (

2.92 \times {10^{15}}\,{\text{Hz}}

) is correct because it is calculated using the Rydberg formula for hydrogen-like ions, relating frequency to the difference in inverse squares of principal quantum numbers.

JEE PHYSICS MCQ: ATOMS

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