In s hydraulic jump occurring in a rectangular horizontal channel the depth before and after jump are $0\mathrm{.}5m$ and $1m$ respectively then the head loss due to the jump will be

$($a$)\frac{1}{2}m$

$($b$)\frac{1}{8}m$

$($c$)\frac{1}{16}m$

$($d$)\frac{1}{32}m$