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## GATE ME 2014 Set 2

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

$$\mathop {Lt}\limits_{x \to 0} \left( {{{{e^{2x}} - 1} \over {\sin \left( {4x} ... Curl of vector$$\,\,\overrightarrow F = {x^2}{z^2}\widehat i - 2x{y^2}z\wideha...
A box contains $$25$$ parts of which $$10$$ are defective. Two parts are being d...
Consider an unbiased cubic die with opposite faces coloured identically and each...
The general solution of the differential equation $$\,\,{{dy} \over {dx}} = \cos... The value of$$\int\limits_{2.5}^4 {\ln \left( x \right)} $$calculated using t... An analytic function of a complex variable$$z=x+iy,$$where$$i = \sqrt { - 1}...
A two member truss ABC is shown in the figure. The force (in kN) transmitted in ...
A truck accelerates up a 10° incline with a crate of 100 kg. Value of static coe...
The difference in pressure (in $$N/{m^2}$$) across an air bubble of diameter $$0... For an incompressible flow field ,$$\overrightarrow {V,} $$which one of the fo... A spherical balloon with a diameter of$$10m,$$shown in the figure below is use... Water flows through a$$10mm$$diameter and$$250m$$long smooth pipe ... Consider laminar flow of water over a flat plate of length$$1m.$$If the b... A material$$P$$of thickness$$1mm$$is sandwiched between two steel slabs... Biot number signifies the ratio of Consider a two-dimensional laminar flow over a long cylinder as shown in the fig... For laminar forced convection over a flat plate, if the free stream velocity inc... A hemispherical furnace of$$1m$$radius has the inner surface (emissivity,... Water flows through a tube of diameter$$25mm$$at an average velocity of$$1.0m...
In a heat exchanger, it is observed that $$\Delta {T_1} = \Delta {T_2},$$ where ...
In a concentric counter flow heat exchanger, water flows through the inner tube ...
Consider the following data with reference to elementary deterministic economic ...
A project has four activities $$P,Q, R$$ and $$S$$ as shown below. <img class="q...
If there are $$m$$ sources and $$n$$ destinations in a transportation matrix, th...
A component can be produced by any of the four processes $${\rm I},$$ $${\rm II}... Consider the two states of stress as shown in configurations$${\rm I}$$and$${...
In a structure subjected to fatigue loading, the minimum and maximum stresses de...
For the three bolt system shown in the figure, the bolt material has shear yield...
A spur pinion of pitch diameter $$50$$ $$mm$$ rotates at $$200$$ $$rad/s$$ and t...
A disc clutch with a single friction surface has coefficient of friction equal t...
With respect to metal working, match Group A with Group B: <img class="question-...
The relationship between true strain $$\left( {{\varepsilon _T}} \right)$$ and e...
A mild steel plate has to be rolled in one pass such that the final plate thickn...
Match the Machine Tools (Group A) with the probable Operations (Group B) <img cl...
A hole of $$20$$ $$mm$$ diameter is to be drilled in a steel block of $$40$$ $$m... A rectangular hole of size$$100\,\,mm \times 50\,\,mm$$is to be made on a$$5$... The flatness of a machine bed can be measured using A robot arm $$PQ$$ with end coordinates $$P(0,0)$$ and $$Q(2,5)$$ rotates counte... For the $$CNC$$ part programming, match Group A with Group B: <img class="quest... A steel cube, with all faces free to deform, has Young’s modulus, $$E,$$ Poisson... A thin plate of uniform thickness is subject to pressure as shown in the figure ... A cantilever beam of length, $$L,$$ with uniform cross-section and flexural rigi... The flexural rigidity $$(EI)$$ of a cantilever beam is assumed to be constant ov... Maximum fluctuation of kinetic energy in an engine has been calculated to be $$2... Consider a flywheel whose mass$$M$$is distributed almost equally between a hea... What is the natural frequency of the spring mass system shown below? The contact... A pure substance at$$8MPa$$and$${400^ \circ }C$$is having a specific in... Steam at a velocity of$$10m/s$\$ enters the impulse turbine stage with symm...

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