# Based on Bohr's theory, which of the following transitions for the hydrogen atom will emit the most energy? (a) from n = 3 to n = 2 (b) from n = 4 to n = 2 (c) from n = 5 to n = 2 (d) from n = 6 to n = 2

### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

Chapter
Section

### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 6.3, Problem 1RC
Textbook Problem
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## Based on Bohr's theory, which of the following transitions for the hydrogen atom will emit the most energy? (a) from n = 3 to n = 2 (b) from n = 4 to n = 2 (c) from n = 5 to n = 2 (d) from n = 6 to n = 2

Interpretation Introduction

Interpretation: The transition for the hydrogen atom that emits the most energy is to be determined from the given option.

Concept introduction:

• Electronic transitions that take place in excited H atom is,

Lyman series: electronic transitions take place to the n=1 level and it is in ultraviolet region.

Balmer series: electronic transitions take place from n>2 to the n=2 level and it is in visible region.

Ritz-Paschen series: electronic transitions take place from n>3 to the n=3 level and it is in infrared region.

Brackett series: electronic transitions take place from n>4 to the n=4 level.

Pfund series: electronic transitions take place from n>5 to the n=5 level

• Planck’s equation,

E==hcλwhere, E=energyh=Planck'sconstantν=frequencyλ=wavelengthc=speedoflight

The energy increases as the wavelength of the light decrease. Also the energy increases as the frequency of the light increases.

### Explanation of Solution

Reason for correct option

E==hcλ so the energy increases as the wavelength of the light decrease. Also the energy increases as the frequency of the light increases. The electronic transition from the highest level to next lower electronic state has the highest wavelength. So the transition having longest wavelength has lowest energy. The energy is high when the differences in energy levels are large. Therefore, the transition for the hydrogen atom that emits the most energy is from n=6 to the n=2 level.

Hence the correct option for the transition for the hydrogen atom that emits the most energy is option d.

Reasons for incorrect options:

Write all the transition for the hydrogen atom in the options except option d

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