A horizontal nozzle of $30 \mathrm{~mm}$ diameter discharges a steady jet of water into the atmosphere at a rate of 15 litres per second. The diameter of inlet to the nozzle is $100 \mathrm{~mm}$. The jet impinges normal to a flat stationary plate held close to the nozzle end. Neglecting air friction and considering the density of water as $1000 \mathrm{~kg} / \mathrm{m}^{3},$ the force exerted by the jet (in $\mathrm{N}$ ) on the plate is
A horizontal nozzle of $30 \mathrm{~mm}$ diameter discharges a steady jet of water into the atmosphere at a rate of 15 litres per second. The diameter of inlet to the nozzle is $100 \mathrm{~mm}$. The jet impinges normal to a flat stationary plate held close to the nozzle end. Neglecting air friction and considering the density of water as $1000 \mathrm{~kg} / \mathrm{m}^{3},$ the force exerted by the jet (in $\mathrm{N}$ ) on the plate is