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: mass

0.50\,\text{kg}

, spring constant

80\,\text{N}\,\text{m}^{-1}

. System Q: mass

0.80\,\text{kg}

, spring constant

200\,\text{N}\,\text{m}^{-1}

. Which of the following statements about their time periods

T_P

and

T_Q

is correct? (a)

T_P = T_Q

(b)

T_P > T_Q

(c)

T_P < T_Q

(d) Comparison is not possible without knowing the amplitude