For each statement, choose whether the statement is true or false, and discuss your answer briefly:

(a) If the rpm of a pump is doubled, all else staying the same, the capacity of the pump goes up by a factor of about 2.

(b) If the rpm of a pump is doubled, all else staying the same, the net head of the pump goes up by a factor of about 2.

(c) If the rpm of a pump is doubled, all else staying the same, the required shaft power goes up by a factor of about 4.

(d) If the rpm of a turbine is doubled, all else staying the same, the output shaft power of the turbine goes up by a factor of about 8.