1
GATE ME 2004
MCQ (Single Correct Answer)
+1
-0.3
A fluid flow is represented by the velocity field $$\overrightarrow V = ax\,\overrightarrow i + ay\,\overrightarrow j ,$$ where a constant . The equation of stream line passing through a point $$(1, 2)$$ is
A
$$x-2y=0$$
B
$$2x+y=0$$
C
$$2x-y=0$$
D
$$x+2y=0$$
2
GATE ME 2004
MCQ (Single Correct Answer)
+2
-0.6
For a fluid flow through a divergent pipe of length $$L$$ having inlet and outlet radii of $${R_1}$$ and $${R_2}$$ respectively and a constant flow rate of $$Q,$$ assuming the velocity to be axial and uniform at any cross- section , the acceleration at the exit is
A
$${{2Q\left( {{R_1} - {R_2}} \right)} \over {\pi LR_2^3}}$$
B
$${{2{Q^2}\left( {{R_1} - {R_2}} \right)} \over {\pi LR_2^3}}$$
C
$${{2{Q^2}\left( {{R_1} - {R_2}} \right)} \over {{\pi ^2}L{R_2}^5}}$$
D
$${{2{Q^2}\left( {{R_2} - {R_1}} \right)} \over {{\pi ^2}L{R_2}^5}}$$
3
GATE ME 2004
MCQ (Single Correct Answer)
+2
-0.6
In a condenser, water enters at $${30^ \circ }C$$ and flows at the rate $$1500$$ $$Kg/hr.$$ The condensing steam is at a temperature of $${120^ \circ }C$$ and cooling water leaves the condenser at $${80^ \circ }C$$. Specific heat of water is $$4.187 kJ/kg$$ $$K.$$ If the overall heat transfer coefficient is $$2000$$ $$W/{m^2}K,$$ the heat transfer area is
A
$$0.707{m^2}$$
B
$$7.07{m^2}$$
C
$$70.7{m^2}$$
D
$$141.4{m^2}$$
4
GATE ME 2004
MCQ (Single Correct Answer)
+2
-0.6
A spherical thermocouple junction of diameter $$0.706 mm$$ is to be used for the measurement of temperature of a gas stream. The convective heat transfer co-efficient on the bead surface is $$400W/{m^2}K.$$ Thermo-physical properties of thermocouple material are
$$k = 20W/mK,$$ $$C = 400J/kgK$$ and $$\rho = 8500\,\,kg/{m^3}.$$ If the thermocouple initially at $${30^ \circ }C$$ is placed in a hot stream of $${300^ \circ }C$$ the time taken by the bead to reach $${298^ \circ }C$$, is
A
$$2.35s$$
B
$$4.9s$$
C
$$14.7s$$
D
$$29.4s$$
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