The Period of a Pendulum Is the Time It Takes

question 48

Multiple Choice

The period of a pendulum is the time it takes the pendulum to swing back and forth once. If the only dimensional quantities that the period depends on are the acceleration of gravity, g, and the length of the pendulum, ℓ, what combination of g and ℓ must the period be proportional to? (Acceleration has SI units of m ∙ s^-2.) .

• A) g/ℓ
• B) gℓ2
• C) gℓ

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Definitions:

Diels-Alder

A chemical reaction between a diene and a dienophile, resulting in the formation of a cyclohexene derivative.

Diene

An organic compound containing two double bonds, often involved in polymerization and other chemical reactions.

Dienophile

A chemical compound with an electron-deficient double or triple bond that readily reacts with a diene in a Diels-Alder reaction to form cyclohexene derivatives.

HOMO

Highest Occupied Molecular Orbital; the electron orbital with the highest energy level that is occupied by electrons in a molecule under ground state conditions.