A Geiger counter placed $1$ meter from a point source of radiation registers $100$ counts per second. If the Geiger counter is moved closer $-$ to $0\mathrm{.}5$ meter from the source $-$ what will the count rate be$?$

$200$ counts$/$s

$100$ counts$/$s

$50$ counts$/$s

$25$ counts$/$s

$400$ counts$/$s