$($a$)$

What is the effect on the period of a pendulum if you double its length?

The period is decreased by a factor of

$2$

$.$

The period is increased by a factor of

$2$

$.$

$$The period is increased by a factor of $2.$The period would not change.The period is decreased by a factor of $2.$

$($b$)$

What is the effect on the period of a pendulum if you decrease its length by $5\mathrm{.}50\%?($Answer this question in terms of the initial period T$.)$

T$\text{'}=$ T