An Electron Is Confined in a One-Dimensional Box (An Infinite

question 27

Multiple Choice

An electron is confined in a one-dimensional box (an infinite well) .Two adjacent allowed energies of the electron are 1.068 × 10^-18 J and 1.352 × 10^-18 J.What is the length of the box? (h = 6.626 × 10^-34 J • s,m_el = 9.11 × 10^-31 kg)

• A) 1.9 nm
• B) 0.93 nm
• C) 1.1 nm
• D) 2.3 nm

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Definitions:

Alkane

A saturated hydrocarbon with single bonds only, having the general molecular formula CnH2n+2, where n is the number of carbon atoms.

Molecular Formula

A notation showing the types and numbers of atoms in a molecule, without indicating their arrangement.

Ethyl

A functional group or moiety consisting of two carbon atoms and five hydrogen atoms (–C2H5), often derived from ethanol.

Dimethyldodecane

An organic compound structured as a dodecane backbone with two methyl groups attached, used in various chemical contexts.