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## GATE ME 2011

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

Eigen values of a real symmetric matrix are always
Consider the following system of equations <br>$$2{x_1} + {x_2} + {x_3} = 0,\,\... A series expansion for the function$$\sin \theta $$is _______. What is$$\mathop {Lim}\limits_{\theta \to 0} {{\sin \theta } \over \theta }\,\...
If $$f(x)$$ is even function and a is a positive real number , then $$\int\lim... An unbiased coin is tossed five times. The outcome of each loss is either a head... Consider the differential equation$${{dy} \over {dx}} = \left( {1 + {y^2}} \rig...
The integral $$\,\int\limits_1^3 {{1 \over x}\,\,dx\,\,\,}$$ when evaluated by ...
The product of two complex numbers $$1 + i\,\,\,\,\&amp; \,\,\,\,2 - 5\,i$$ is
The coefficient of restitution of a perfectly plastic impact is
A stone with mass of $$0.1$$kg is catapulted as shown in the figure. The total f...
A 1 kg block is resting on a surface with coefficient of friction $$\mu$$ $$=0.... A streamline and an equipotential line in a flow field Figure shows the schematic for the measurement of velocity of air (density$$ = ...
A pipe of $$25$$ $$mm$$ outer diameter carries steam. The heat transfer coeffici...
A spherical steel ball of $$12mm$$ diameter is initially at $$100K.$$ It is slow...
The ratios of the laminar hydrodynamic boundary layer thickness to thermal bound...
In a condenser of a power plant, the steam condenses at a temperature of $${60^ ... The word <b>Kanban</b> is most appropriately associated with Cars arrive at a service station according to Poisson's distribution with a mean... One unit of product$${P_1}$$requires$$3kg$$of resource$${R_1}$$and$$...
One unit of product $${P_1}$$ requires $$3$$ $$kg$$ of resource $${R_1}$$ and $$... Match the following criteria of material failure, under biaxial stresses$${\sig...
Two identical ball bearings $$P$$ and $$Q$$ are operating at loads $$30kN$$ and ...
Green sand mould indicates that
A cubic casting of $$50mm$$ side undergoes volumetric solidification shrinkage a...
The maximum possible draft in cold rolling of sheet increases with the
Which one among the following welding processes uses non-consumable electrode?
A single-point cutting tool with $${12^0}$$ rake angle is used to machine a stee...
The shear strength of a sheet metal is $$300MPa.$$ The blanking force required t...
A hole is dimension $$\phi {9^{\matrix{ { + 0.015} \cr { + 0\,\,\,\,\,\,... A simply supported beam$$PQ$$is loaded by a moment of$$1kN-m$$at the mi... A torque$$T$$is applied at the free end of a stepped rod of circular cross-sec... A column has a rectangular cross-section of 10 mm$$ \times $$20 mm and a lengt... A double - parallelogram mechanism is shown in the figure. Note that PQ is a sin... For the four - bar linkage shown in the figure, the angular velocity of link AB ... A mass of$$1$$kg is attached to two identical springs each with stiffness$$k=...
A disc of mass m is attached to a spring of stiffness $$k$$ as shown in the figu...
The temperature and pressure of air in a large reservoir are $$400$$ $$K$$ and $... The temperature and pressure of air in a large reservoir are $$400$$ $$K$$ and$...
Heat and work are
The contents of a well-insulated tank are heated by a resistor of $$23\Omega$$ ...
A pump handling a liquid raises its pressure from $$1$$ bar to $$30$$ $$bar.$$ T...
In an experimental set-up, air flows between two stations $$P$$ and $$Q$$ adiaba...
In an experimental set-up, air flows between two stations $$P$$ and $$Q$$ adiaba...
The values of enthalpy of steam at the inlet and outlet of a steam turbine in a ...

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