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GATE ME 2015 Set 2

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

At least one eigenvalue of a singular matrix is
At $$x=0,$$ the function $$f\left( x \right) = \left| x \right|$$ has
Curl of vector $$\,V\left( {x,y,x} \right) = 2{x^2}i + 3{z^2}j + {y^3}k\,\,$$ at...
The surface integral $$\,\,\int {\int\limits_s {{1 \over \pi }} } \left( {9xi - ...
The chance of a student passing an exam is $$20$$% The chance of a student passi...
Consider the following differential equation $${{dy} \over {dt}} = - 5y;$$ init...
The values of function $$(x)$$ at $$5$$ discrete points are given below: <img cl...
Laplace transform of $$\cos \left( {\omega t} \right)$$ is
The Laplace transform of $${e^{i5t}}$$ where $$i = \sqrt { - 1} ,$$
A small ball of mass 1 kg moving with a velocity of 12 m/s undergoes a direct ce...
The initial velocity of an object is $$40$$ $$m/s.$$ The acceleration a of the o...
For the truss shown in the figure, the magnitude of the force (in kN) in the mem...
If the fluid velocity for a potential flow is given by $$V\left( {x,y} \right) =...
For a fully developed laminar flow of water (dynamic viscosity $$0.001$$ $$Pa$$-...
The head loss for a laminar incompressible flow through a horizontal circular pi...
Within a boundary layer for a steady incompressible flow, the Bernoulli equation...
If a foam insulation is added to a $$4cm$$ outer diameter pipe as shown as figu...
A cylindrical uranium fuel rod of radius 5 mm in a nuclear reactor is generating...
In the laminar flow of air $$(Pr=0.7)$$ over a heated plate, if $$\delta $$ and ...
The total emissive power of a surface is $$500$$ $$W/{m^2}$$ at a temperature $$...
A balanced counter-flow heat exchanger has a surface area of $$20\,\,{m^2}$$ and...
Annual demand of a product is $$50,000$$ units and the ordering cost is Rs. $$7,...
A project consists of $$7$$ activities. The network along with the time duration...
Sales data of a product is given in the following table: <img class="question-i...
A manufacturer has the following data regarding a product: <br>Fixed cost per mo...
The uniaxial yield stress of a material is $$300$$ $$MPa.$$ According to Von mis...
A cube and a sphere made of cast iron (each of volume $$1000\,\,c{m^3}$$) were c...
The flowing stress (in $$MPa$$) of a material is given by $$\sigma = 500{\vare...
In a two stage wire drawing operation, the fractional reduction (ratio of change...
During a $$TIG$$ welding process, the arc current and arc voltage were $$50$$ $$...
A single point cutting tool with $${0^0}$$ rake angle is used in an orthogonal m...
Which one of the following statements is <b>TRUE?</b>
During the development of a product, an entirely new process plan is made based ...
A drill is positioned at point $$P$$ and it has to proceed to point $$Q.$$ The c...
A rod is subjected to an uniaxial load within linear elastic limit. When the cha...
In a plane stress condition, the components of stress at a point are $${\sigma _...
A cantilever beam OP is connected to another beam PQ with a pin joint as shown i...
A hollow shaft (d<sub>0</sub> = $$2$$d<sub>i</sub>, where d<sub>0</sub> and d<su...
The deflection of a spring with 20 active turns under a load of 1000 N is 10 mm....
A rope brake dynamometer attached to the crank shaft of an $$I.C.$$ engine measu...
A hollow shaft of $$1$$ m length is designed to transmit a power of $$30$$ kW at...
A cantilever beam with square cross-section of 6 mm side is subjected to a load ...
A gas is stored in a cylindrical tank of inner radius $$7$$ m and wall thickness...
The number of degrees of freedom of the planetary gear train shown in the figure...
In a certain slider-crank mechanism, lengths of crank and connecting rod are equ...
In a spring-mass system the mass is m and the spring constant is $$k$$. The crit...
A single-degree-freedom spring mass system is subjected to a sinusoidal force of...
The Vander-waals equation of state is $$\left( {p + {a \over {{v^2}}}} \right)\l...
Work is done on an adiabatic system due to which its velocity changes from $$10$...
The $$COP$$ of a Carnot heat pump operating between $${6^ \circ }C$$ and $${37^ ...
One kg of air ($${R = 287\,\,J/kg}$$-$$K$$) under goes irreversible process betw...
Which of the following statements regarding a Rankine cycle with reheating are <...
In a Rankine cycle, the enthalpies at turbine entry and outlet are $$3159$$ $$kJ...

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