Calculate the Frequency of the Light Emitted by a Hydrogen

question 107

Multiple Choice

Calculate the frequency of the light emitted by a hydrogen atom during a transition of its electron from the n = 4 to the n = 1 principal energy level. Recall that for hydrogen E_n = -2.18 * 10 ^-18 J(1/n²) .

• A) 1.35 * 10^-51 /s
• B) 1.03 * 10⁸ /s
• C) 2.06 * 10¹⁴ /s
• D) 8.22 * 10¹⁴ /s
• E) 3.08 * 10¹⁵ /s

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Definitions:

Diene

A hydrocarbon that contains two double bonds between carbon atoms.

HBr

Hydrogen bromide; a diatomic molecule consisting of hydrogen and bromine, known for its use as a reagent in organic synthesis.

Allyl Cation

A positively charged ion (cation) with the formula C3H5+, characterized by a carbon atom connected to two other carbons via double bonds in a linear arrangement.

Carbon p Orbitals

Atomic orbitals composed of p electrons in carbon atoms, crucial for the formation of covalent chemical bonds through overlap.