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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 $2M$.

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

A

${ \frac { 1 }{ 2 }}$

B

$1$

C

$\sqrt { 2 }$

D

$2$

E

$2\sqrt { 2 }$

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