1
GATE ME 2013
+2
-0.6
Water is coming out from a tap and falls vertically downwards. At the tap opening, the stream diameter is $$20$$ $$mm$$ with uniform velocity of $$2$$ $$m/s.$$ Acceleration due to gravity is $$9.81$$ $$m/{s^2}.$$ Assuming steady, inviscid flow, constant atmospheric pressure everywhere and neglecting curvature and surface tension effects, the diameter in mm of the stream $$0.5$$ $$m$$ below the tap is approximately
A
$$10$$
B
$$15$$
C
$$20$$
D
$$25$$
2
GATE ME 2012
+2
-0.6
A large tank with a nozzle attached contains three immiscible, inviscid fluids as shown. Assuming that the changes in $${h_1},\,\,{h_2}$$ and $${h_3}$$ are negligible, the instantaneous discharge velocity is
A
$$\sqrt {2g{h_3}\left( {1 + {{{\rho _1}} \over {{\rho _3}}}\,{{{h_1}} \over {{h_3}}} + {{{\rho _2}} \over {{\rho _3}}}{{{h_2}} \over {{h_3}}}} \right)}$$
B
$$\sqrt {2g\left( {{h_1} + {h_2} + {h_3}} \right)}$$
C
$$\sqrt {2g\left( {{{{\rho _1}{h_1} + {\rho _2}{h_2} + {\rho _3}{h_3}} \over {{\rho _1} + {\rho _2} + {\rho _3}}}} \right)}$$
D
$$\sqrt {2g\left( {{{{\rho _1}{h_2}{h_3} + {\rho _2}{h_3}{h_1} + {\rho _3}{h_1}{h_2}} \over {{\rho _1}{h_1} + {\rho _2}{h_2} + {\rho _3}{h_3}}}} \right)}$$
3
GATE ME 2011
+2
-0.6
Figure shows the schematic for the measurement of velocity of air (density $$= 1.2\,\,kg/{m^3}$$ ) through a constant -area duct using a Pilot tube and a water-tube manometer. The differential head of water (density $$= 1000\,kg/{m^3}$$) in the two columns of the manometer is $$10$$ $$mm.$$ Take acceleration due to gravity as $$9.8$$ $$m/{s^2}.$$ The velocity of air in $$m/s$$
A
$$6.4$$
B
$$9.0$$
C
$$12.8$$
D
$$25.6$$
4
GATE ME 2010
+2
-0.6
A smooth pipe of diameter $$200$$ $$mm$$ carries water. The pressure in the pipe at section
$${S_1}\,\,$$ (elevation : $$10$$ $$m$$ ) is the $$50$$ $$kPa.$$ At section
$${S_2}\,\,$$ (elevation : $$12$$ $$m$$ ) the pressure is $$20$$ $$kPa$$ and velocity is $$2$$ $$m/s.$$
Density of water is $$1000$$ $$kg/{m^3}$$ and acceleration due to gravity is $$9.8$$ $$m{s^{ - 2}}.$$ Which of the following is TRUE?
A
flow is from $${S_1}$$ to $${S_2}$$ and head loss is $$0.53$$ $$m$$
B
flow is from $${S_2}$$ to $${S_1}$$ and head loss is $$0.53$$ $$m$$
C
flow is from $${S_1}$$ to $${S_2}$$ and head loss is $$1.06$$ $$m$$
D
flow is from $${S_2}$$ to $${S_1}$$ and head loss is $$0.53$$ $$m$$
GATE ME Subjects
EXAM MAP
Medical
NEET