The amplitude of a damped oscillator becomes one-half of its value every 10 s

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

The amplitude of a damped oscillator becomes one-half of its value every 10 s. What fraction of the initial amplitude will remain after 30 s? (a)

\dfrac{1}{16}

(b)

\dfrac{1}{4}

(c)

\dfrac{1}{8}

(d)

\dfrac{1}{3}