Free Version
Moderate

# Pendulum Period: Vary Length and Mass

APPH12-N51TAS

A simple pendulum has a period of ${ T }_{ 1 }$ when its length is $L$ and its mass is $M$. A second simple pendulum has a period of ${ T }_{ 2 }$ when its length is $4L$ and its mass is $2M$.

Which of the following is the ratio of the periods, ${ \frac { { T }_{ 2 } }{ { T }_{ 1 } } }$?

A

$1$

B

$\sqrt { 2 }$

C

$2$

D

$2\sqrt { 2 }$