Two separate mass–spring systems are set up

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

Problem

Two separate mass–spring systems are set up. System P has mass

m

attached to a spring of constant

k

. System Q has mass

2m

attached to a spring of constant

4k

. What is the ratio of their natural angular frequencies

\omega_P : \omega_Q

? (a)

1: \dfrac{1}{\sqrt{2}}

(b)

\sqrt{2}:1

(c)

1: \sqrt{2}

(d)

\dfrac{1}{2}:1