Ideal Incompressible Water Flows Through a Horizontal Pipe of Cross-Sectional $10.0 \mathrm {~cm} ^ { 2 }$

Multiple Choice

Ideal incompressible water flows through a horizontal pipe of cross-sectional area $10.0 \mathrm {~cm} ^ { 2 }$ at a pressure of 0.250 atm with a volume flow rate of $1.00 \times 10 ^ { - 3 } \mathrm {~m} ^ { 3 } / \mathrm { s }$ At a valve, the effective cross-sectional area of the pipe is reduced to $5.00 \mathrm {~cm} ^ { 2 }$ What is the pressure at the valve?

A) 0.235 atm
B) 0.112 atm
C) 0.200 atm
D) 0.157 atm