The experimental data for the performance test of a double entry Centrifugal Pump is as given below:

$\backslash$table$[[$Run No$.,1,2,3,4,5,6],[$Test Speed $($in r$.$p$.$m$.),1400,1420,1440,1460,1480,1500],[$Discharge $($Lit$./$min$.),700,680,660,600,470,0],[$Suction Gauge Reading $($in m of water$),4\mathrm{.}0,3\mathrm{.}8,3\mathrm{.}4,3\mathrm{.}2,0\mathrm{.}50,0\mathrm{.}4],[$Delivery Gauge Reading $($in m of water$),26\mathrm{.}0,21\mathrm{.}0,18,16,22,24\mathrm{.}0],[$Power input to the pump $($in KW$),4\mathrm{.}8,4\mathrm{.}6,3\mathrm{.}8,2\mathrm{.}9,2\mathrm{.}7,2\mathrm{.}0]]$

The suction and delivery pipes attached to the pump are of same diameter and the centers of the suction and delivery gauges are located on the same horizontal plane. Plot the following curves using the above test$-$data at a rated speed of $1500$ r$.$p$.$m$.$

i$)$ Total Head $($H$)$ Vs$.$ Discharge $($Q$)$

ii$)$ Pump input Power $($P$)$ Vs$.$ Discharge $($Q$)$

iii$)$ Overall Efficiency $({}_0)$ Vs$.$ Discharge $($Q$).$

Find from these curves the rated head, rated discharge and rated power input of the pump.

$(20)$