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## GATE ME 2015 Set 1

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

If any two columns of a determinant $$P = \left| {\matrix{ 4 &amp; 7 &amp; 8 ... Consider a spatial curve in three -dimensional space given in parametric form by... The value of$$\mathop {Lim}\limits_{x \to 0} \,{{1 - \cos \left( {{x^2}} \right...
Consider an ant crawling along the curve $$\,{\left( {x - 2} \right)^2} + {y^2} ... The velocity field on an incompressible flow is given by <br>$$V = \left( {{a_1...
The probability of obtaining at least two $$'SIX'$$ in throwing a fair dice $$4... Ram and Ramesh appeared in an interview for two vacancies in the same department... Among the four normal distributions with probability density functions as shown ... Find the solution of$${{{d^2}y} \over {d{x^2}}} = y$$which passes through ori... Simpson's$${1 \over 3}$$rule is used to integrate the function$$f\left( x \ri...
Given two complex numbers $${z_1} = 5 + \left( {5\sqrt 3 } \right)i$$ and $${z_2... The Laplace Transform of$$f\left( t \right) = {e^{2t}}\sin \left( {5t} \right)\...
Two identical trusses support a load of 100 N as shown in the figure. The length...
For the truss shown in figure, the magnitude of the force in member PR and the s...
A ball of mass 0.1 kg, initially at rest, is dropped from height of 1m. Ball hit...
The velocity field on an incompressible flow is given by <br>$$V = \left( {{a_1... Match the following pairs: <img class="question-image" src="https://gateclass.c... Water$$\left( {\rho = 1000kg/{m^3}} \right)$$flows through a venturimeter wit... Consider fully developed flow in a circular pipe with negligible entrance length... Air ($${\rho = 1.2\,\,kg/{m^3}}$$and kinematic viscosity,$${v = 2 \times {{1...
A $$10$$ $$mm$$ diameter electrical conductor is covered by an insulation of $$2... The Blasius equation related to boundary layer theory is a For flow of viscous fluid over a flat plate, if the fluid temperature is the sam... For flow through a pipe of radius$$R,$$the velocity and temperature distributi... Following data refers to the activities of a project, where, node$$1$$refers t... For a canteen, the actual demand for disposable cups was$$500$$units in Januar... A machine element is subjected to the following bi-axial state of stress:$$\,\,...
Which one of the following is the most conservative fatigue failure criterion?
A horizontal plate has been joined to a vertical post using four rivets arranged...
The solidification time of a casting is proportional to $${\left( {{V \over A}} ... Match the following products with preferred manufacturing process: <img class="q... In a slab rolling operation, the maximum thickness reduction$$\left( {\Delta {h...
In a linear arc welding process, the heat input per unit length is inversely pro...
A $$DC$$ welding power source has a linear voltage-current $$(V$$-$$I)$$ charact...
Under certain cutting conditions, doubling the cutting speed reduces the tool li...
An orthogonal turning operation is carried out under the following conditions; r...
Holes of diameter $${25.0^{\matrix{ { + 0.040} \cr { + 0.020} \cr } ... The function of interpolator in a$$CNC$$machine controller is to In the assembly shown below, the part dimensions are: <br>$$\eqalign{ &amp; {...
A triangular facet in a $$CAD$$ model has vertices: $${P_1}\left( {0,0,0} \right... Consider a stepped shaft subjected to a twisting moment applied at$$B$$as show... A cantilever beam with flexural rigidity of 200 N.m<sup>2</sup> is loaded as sho... Consider a steel (Young’s modulus$$E = 200GP$$a) column hinged on both sid... A wheel of radius r rolls without slipping on a horizontal surface shown below. ... A pinion with radius$${r_1}$$, and inertia$${{\rm I}_1}$$is driving a gear wi... Consider a slider crank mechanism with nonzero masses and inertia. A constant to... A mobile phone has a small motor with an eccentric mass used for vibrator mode. ... A precision instrument package (m = 1kg) needs to be mounted on a surface vibrat... Considering massless rigid rod and small oscillations, the natural frequency (in... For an ideal gas with constant values of specific heats, for calculation of the ... Temperature of nitrogen in a vessel of volume$$2{m^3}$$is$$288K.A$$... A well insulated rigid container of volume$$1{m^3}$$contains$$1.0kg$$of... A Carnot engine$$(CE$$-$$1)$$works between two temperature reservoirs$$A an...
Steam enters a well insulated turbine and expands isentropically throughout. At ...

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