In a $5 \mathrm{~m}$ wide rectangular channel, the velocity $u$ distribution in the vertical direction $y$ is given by $u=1.25 y^{\frac{1}{6}} .$ The distance $y$ is measured from the channel bed. If the flow depth is $2 \mathrm{~m},$ the discharge per unit width of the channel is
(A) $2.40 \mathrm{~m}^{3} / \mathrm{s} / \mathrm{m}$
(B) $2.80 \mathrm{~m}^{3} / \mathrm{s} / \mathrm{m}$
(C) $3.27 \mathrm{~m}^{3} / \mathrm{s} / \mathrm{m}$
(D) $12.02 \mathrm{~m}^{3} / \mathrm{s} / \mathrm{m}$
In a $5 \mathrm{~m}$ wide rectangular channel, the velocity $u$ distribution in the vertical direction $y$ is given by $u=1.25 y^{\frac{1}{6}} .$ The distance $y$ is measured from the channel bed. If the flow depth is $2 \mathrm{~m},$ the discharge per unit width of the channel is
(A) $2.40 \mathrm{~m}^{3} / \mathrm{s} / \mathrm{m}$
(B) $2.80 \mathrm{~m}^{3} / \mathrm{s} / \mathrm{m}$
(C) $3.27 \mathrm{~m}^{3} / \mathrm{s} / \mathrm{m}$
(D) $12.02 \mathrm{~m}^{3} / \mathrm{s} / \mathrm{m}$
$2.40 \mathrm{~m}^{3} / \mathrm{s} / \mathrm{m}$