A $100-$g mass hangs from a long cord. The mass is pulled a short distance to one side and released from

rest. The time to swing over and back is carefully measured to be $2\mathrm{.}0$ s$.$ If the $100$ g mass is replaced by a

$200$ g mass, which is then pulled over the same distance and released from rest, the time will be

$($a$)1\mathrm{.}0$ s

$($b$)1\mathrm{.}41$ s

$($c$)2\mathrm{.}0$ s

$($d$)2\mathrm{.}82$ s

$($e$)4\mathrm{.}0$ s$.$