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## GATE ME 2014 Set 4

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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## GATE ME

Which one of the following equations is a correct identity for arbitrary $$3 \t... The value of the integral$$\int\limits_0^2 {{{{{\left( {x - 1} \right)}^2}\sin ...
The value of the integral $$\,\int\limits_0^2 {\int\limits_0^x {{e^{x + y}}\,\,d... A nationalized bank has found that the daily balance available in its savings ac... The number of accidents occurring in a plant in a month follows Poisson distrib... The solution of the initial value problem$$\,\,{{dy} \over {dx}} = - 2xy;y\lef...
Consider an ordinary differential equation $${{dx} \over {dt}} = 4t + 4.\,\,$$ I...
If $$z$$ is a complex variable, the value of $$\int\limits_5^{3i} {{{dz} \over z... Laplace transform of$$\cos \,\left( {\omega t} \right)$$is$${s \over {{s^2} +...
In a statically determinate plane truss, the number of joints $$(j)$$ and the n...
For the truss shown in the figure, the forces F<sub>1</sub> and F<sub>2</sub> ar...
A uniform slender rod (8 m length and 3 kg mass) rotates in a vertical plane abo...
A wardrobe (mass 100 kg, height 4 m, width 2 m, depth 1 m), symmetric about the ...
A ladder AB of length 5 m and weight (W) 600 N is resting against a wall. Assumi...
A flow field which has only convective acceleration is
A flow field which has only convective acceleration is
Consider the following statements regarding streamline(s): <br>(i) It is a conti...
Consider a velocity field $$\overrightarrow V = K\left( {y\widehat i + x\wideha... As the temperature increases, the thermal conductivity of a gas A plane wall has a thermal conductivity of$$1.15W/m.K.$$If the inner surf... Match Group$$A$$with Group$$B$$<p><b>Group-A</b> <br>$$P:\,\,\,\,\,\,\,...
Two infinite parallel plates are placed at a certain distance apart. An infinite...
Demand during lead time with associated probabilities is shown below: <img class...
The precedence relations and duration (in days) of activities of a project netwo...
At a work station, $$5$$ jobs arrive every minute. The mean time spent on each j...
A shaft is subjected to pure torsional moment. The maximum shear stress develope...
A bolt of major diameter $$12$$ $$mm$$ is required to clamp two steel plates. Cr...
Ball bearings are rated by a manufacturer for a life of $${10^6}$$ revolutions....
A cylindrical riser of $$6$$ $$cm$$ diameter and $$6$$ $$cm$$ height has to be d...
In a rolling process, the maximum possible draft, defined as the difference betw...
Within the Heat Affected Zone (HAZ) in a fusion welding process, the work materi...
A butt weld joint is developed on steel plates having yield and ultimate tensile...
Better surface finish is obtained with a large rake angle because
A cast iron block of $$200$$ $$mm$$ length is being shaped in a shaping machine ...
Two separate slab milling operations, $$1$$ and $$2,$$ are performed with identi...
A $$GO-No$$ $$GO$$ plug gauge is to be designed for measuring a hole of nominal ...
The number of independent elastic constants required to define the stress-strain...
If the Poisson's ratio of an elastic material is $$0.4$$, the ratio of modulus o...
A frame is subjected to a load $$P$$ as shown in the figure. The frame has a con...
A thin gas cylinder with an internal radius of 100 mm is subject to an internal ...
Torque and angular speed data over one cycle for a shaft carrying a flywheel are...
A point mass is executing simple harmonic motion with an amplitude of $$10$$ mm ...
A single degree of freedom system has a mass of 2kg, stiffness 8 N/m and viscous...
A reversed Carnot cycle refrigerator maintains a temperature of $$- {5^ \circ }... A closed system contains$$10kg$$of saturated liquid ammonia at$${10^ \ci...
Two identical metal blocks $$L$$ and $$M$$ (specific heat $$=0.4$$ $$kJ/kg.K$$),...
Steam with specific enthalpy $$\left( h \right)\,\,3214\,\,kJ/kg$$ enters an adi...
Kaplan water turbine is commonly used when the flow through its runner is

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