Which of the following correctly expresses how the time period of a simple pendulum…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Oscillations · Oscillations

Problem

Which of the following correctly expresses how the time period

T

of a simple pendulum varies with its length

\ell

(for small-angle oscillations)? (a)

T \propto \ell

(b)

T \propto \dfrac{1}{\sqrt{\ell}}

(c)

T \propto \sqrt{\ell}

(d)

T \propto \ell^{2}