A Diatomic Quantum Mechanical Oscillator Has a Moment of Inertia $7.73 \times 10 ^ { - 45 } \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$

question 12

Multiple Choice

A diatomic quantum mechanical oscillator has a moment of inertia of $7.73 \times 10 ^ { - 45 } \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$ . What is the rotational energy when it is in the quantum state characterized by $L = 2$ ? $\left( 1 \mathrm { eV } = 1.60 \times 10 ^ { - 19 } \right.$ $\left. \mathrm { J } , h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } \right)$

• A) \(8.71 \times 10 ^ { - 5 } \mathrm { eV }\)
• B) \(2.27 \times 10 ^ { - 5 } \mathrm { eV }\)
• C) \(2.70 \times 10 ^ { - 5 } \mathrm { eV }\)
• D) \(7.22 \times 10 ^ { - 5 } \mathrm { eV }\)

---

Definitions:

Stephen H. Long

An American explorer in the early 19th century known for his expedition into the Great Plains, significantly contributing to the United States' westward expansion.

General Land Office

The General Land Office was a government agency responsible for managing the public lands of the United States, established in 1812.

Federal Lands

These are lands owned by the federal government of a country, often used for various purposes such as parks, reserves, or military bases.

Western Timber

Refers to the forests and lumber resources found in the western region of the United States, crucial for the country’s construction and paper industries.