Power transmission through Pipes

Q. The power transmitted through a pipeline is maximum when the head lost due to friction in the pipe is equal to

1. the total supply head
2. half of the total supply head
3. one-third of the total supply head
4. one-fourth of the total supply head

Q. It is proposed to increase the discharge by 20% in circular pipe carrying oil in laminar regime. If all other factors remain unchanged, power consumption to maintain the modified flow relative to the original flow would increase by

1. 10%
2. 20%
3. 44%
4. 52%

Q. What is the maximum power available at the downstream end of a pipeline 3 km long, 20 cm in diameter, if water enters at the upstream end at a pressure of 720 m of water, with taking pipe friction coefficient as 0.03 and g as 10 m.s${}^2$?

1. 370 mhp
2. 340 mhp
3. 375 mhp
4. 325 mhp