What Is the Wavelength of the Emitted Photon If an Electron

question 151

Multiple Choice

What is the wavelength of the emitted photon if an electron in the hydrogen atom makes a transition from the $n = 7$ state to the $n = 2$ state? $\left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } , 1 \mathrm { eV } = \right.$ $1.60 \times 10 ^ { - 19 } \mathrm {~J}$ )

• A) \(796 \mathrm {~nm}\)
• B) \(398 \mathrm {~nm}\)
• C) \(4480 \mathrm {~nm}\)
• D) \(199 \mathrm {~nm}\)
• E) \(365 \mathrm {~nm}\)

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Definitions:

Intuition

An instinctive knowing or sensing without the use of rational processes, often playing a significant role in decision-making.

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The ability to think clearly, logically, and systematically, applying reason and critical thinking to decision-making or problem-solving.

Consciousness

The state of being aware of and able to think about one's own existence, sensations, thoughts, surroundings, etc.

Illumination

The process or result of shedding light or clarity on a subject, or literally the provision of light in a physical space.