1
GATE ME 2009
+2
-0.6
Water at $${25^0}C$$ is flowing through a $$1.0km$$ long $$G.I.$$ pipe of $$200mm$$ diameter at the rate of $$0.07$$ $${m^3}/s.$$ If value of Darcy friction factor for this pipe is $$0.02$$ and density of water is $$1000\,\,kg/{m^3}$$, the pumping power (in $$kW$$) required to maintain the flow is
A
$$1.8$$
B
$$17.4$$
C
$$20.5$$
D
$$41.0$$
2
GATE ME 2006
+2
-0.6
A siphon draws water from a reservoir and discharges it out at atmospheric pressure. Assuming ideal fluid and the reservoir is large, the velocity at point $$P$$ in the siphon tube is:
A
$$\sqrt {2g{h_1}}$$
B
$$\sqrt {2g{h_2}}$$
C
$$\sqrt {2g\left( {{h_2} - {h_1}} \right)}$$
D
$$\sqrt {2g\left( {{h_2} + {h_1}} \right)}$$
3
GATE ME 2003
+2
-0.6
A syringe with a frictionless plunger contains water and has at its end a $$100$$ $$mm$$ long needle of $$1$$ $$mm$$ diameter. The internal diameter of the syringe is $$10$$ $$mm.$$ Water density is $$1000\,\,kg/{m^3}.$$ . The plunger is pushed in at $$10$$ $$mm/s$$ and the water comes out as a jet.

Neglect losses in the cylinder and assume fully developed laminar viscous flow throughout the needle; the Darcy friction factor is $${64/R_e}$$. Where $${R_e}$$ is the Reynolds number. Given that the viscosity of water is $$1.0 \times {10^{ - 3}}\,\,kg/m\,\,\,s,$$ the force $$F$$ in newtons required on the plunger is

A
$$0.13$$
B
$$0.16$$
C
$$0.3$$
D
$$4.4$$
4
GATE ME 2003
+2
-0.6
A syringe with a frictionless plunger contains water and has at its end a $$100$$ $$mm$$ long needle of $$1$$ $$mm$$ diameter. The internal diameter of the syringe is $$10$$ $$mm.$$ Water density is $$1000\,\,kg/{m^3}.$$ . The plunger is pushed in at $$10$$ $$mm/s$$ and the water comes out as a jet.

Assuming ideal flow, the force $$F$$ in Newton’s required on the plunger to push out the water is

A
$$0$$
B
$$0.04$$
C
$$0.13$$
D
$$1.15$$
GATE ME Subjects
EXAM MAP
Medical
NEET