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## GATE ME 2016 Set 2

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

The condition for which the eigenvalues of the matrix $$A = \left[ {\matrix{ ... The values of$$x$$for which the function$$f\left( x \right) = {{{x^2} - 3x - ...
A scalar potential $$\,\,\varphi \,\,$$ has the following gradient: $$\,\,\nabla... The probability that a screw manufactured by a company is defective is$$0.1$$. ... Numerical integration using trapezoidal rule gives the best result for a single ... The error in numerically computing the integral$$\,\int\limits_0^\pi {\left( {...
The value of $$\oint\limits_\Gamma {{{3z - 5} \over {\left( {z - 1} \right)\lef... A function$$f$$of the complex variable$$z=x+iy,$$is given as$$f(x,y)=u(x,y)...
A point mass having mass $$M$$ is moving with a velocity $$V$$ at an angle $$\ma... A system of particles in motion has mass center$$G$$as shown in the figure. Th... Assuming constant temperature condition and air to be an ideal gas, the variatio... Consider fluid flow between two infinite horizontal plates which are parallel (t... The volume tric flow rate (per unit depth) between two streamlines having stream... The large vessel shown in the figure contains oil and water. A body is submerged... Consider a frictionless, massless and leak-proof plug blocking a rectangular hol... A hollow cylinder has length$$L,$$inner radius$${{r_1}}$$, outer radius$${{r...
Two cylindrical shafts $$A$$ and $$B$$ at the same initial temperature are simul...
Consider the radiation heat exchange inside an annulus between two very long con...
Consider a parallel-flow heat exchanger with area $${A_p}$$ and a counter-flow h...
A food processing company uses $$25,000$$ $$kg$$ of corn flour every year. The q...
A project consists of $$14$$ activities, $$A$$ to $$N$$. The duration of these a...
In a single-channel queuing model, the customer arrival rate is $$12$$ per hour ...
A machine element $$XY,$$ fixed at end $$X,$$ is subjected to an axial load $$P,... In a structural member under fatigue loading, the minimum and maximum stresses d... For the brake shown in the figure, which one of the following is TRUE? <img clas... The force$${F_1}$$and$${F_2}$$in a brake band and the direction of rotation ... A mass of$$2000$$kg is currently being lowered at a velocity of$$2m/s$$... The welding process which uses a blanket of fusible granular flux is Gray cast iron blocks of size$$100\,\,mm \times 50\,\,mm \times 10\,\,mm$$with... The value of true strain produced in compressing a cylinder to half its original... The voltage - length characteristic of a direct current arc in an arc welding pr... For a certain job, the cost of metal cutting is$$Rs.18C/V$$and the cost of too... The following data is applicable for a turning operation. The length of job is ... For the situation shown in the figure below the expression for$$H$$in terms of... In the figure, the load P = 1 N, length L = 1 m, Young’s modulus E = 70 GPa, and... A circular metallic rod of length 250 mm is placed between two rigid immovable w... A shaft with a circular cross-section is subjected to pure twisting moment. The ... A rigid horizontal rod of length$$2L$$is fixed to a circular cylinder of radiu... A simply supported beam of length$$2L$$is subjected to a moment$$M$$at the m... A thin cylindrical pressure vessel with closed-ends is subjected to internal pre... A single degree of freedom mass-spring - viscous damper system with mass$$m,$$... The rod AB, of length 1 m, shown in the figure is connected to two sliders at ea... The system shown in the figure consists of block A of mass 5 kg connected to a s... The internal energy of an ideal gas is a function of A piston-cylinder device initially contains$$0.4\,{m^3}$$of air (to be treated... The heat removal rate from a refrigerated space and the power input to the compr... A reversible cycle receives$$40kJ of heat from one heat source at a temp...

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