The motion of a particle is described by the equation

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

\dfrac{d^{2}x}{dt^{2}} + 16x = 0

. If this motion corresponds to small oscillations of a simple pendulum on Earth where

g = 9.8\,\text{m}\,\text{s}^{-2}

, find the length

L

of the pendulum. (a)

1.6\,\text{m}

(b)

0.31\,\text{m}

(c)

0.61\,\text{m}

(d)

2.45\,\text{m}