GATE ME 2007
View Questions

## GATE ME

If a square matrix $$A$$ is real and symmetric then the eigen values
View Question
The number of linearly independent eigen vectors of $$\left[ {\matrix{ 2 &amp; 1 \cr 0 &amp; 2 \cr } } \righ View Question The minimum value of function$$\,\,y = {x^2}\,\,$$in the interval$$\,\,\left[ {1,5} \right]\,\,$$is View Question If$$\,\,\,y = x + \sqrt {x + \sqrt {x + \sqrt {x + .....\alpha } } } \,\,\,$$then$$y(2)=$$__________. View Question$$\mathop {Lim}\limits_{x \to 0} {{{e^x} - \left( {1 + x + {{{x^2}} \over 2}} \right)} \over {{x^3}}} = $$View Question The area of a triangle formed by the tips of vectors$$\overrightarrow a ,\overrightarrow b $$and$$\overrightarrow c View Question Let $$X$$ and $$Y$$ be two independent random variables. Which one of the relations $$b/w$$ expectation $$(E),$$ varianc View Question The solution of $${{d\,y} \over {d\,x}} = {y^2}$$ with initial value $$y(0)=1$$ is bounded in the interval is View Question The partial differential equation $$\,\,{{{\partial ^2}\phi } \over {\partial {x^2}}} + {{{\partial ^2}\phi } \over {\pa View Question If$$\phi (x,y)$$and$$\psi (x,y)$$are function with continuous 2nd derivatives then$$\phi (x,y)\, + \,i\psi (x,y)$$View Question If$$F(s)$$is the Laplace transform of the function$$f(t)$$then Laplace transform of$$\int\limits_0^t {f\left( x \ri View Question During inelastic collision of two particles, which one of the following is conserved? View Question A block of mass $$M$$ is related from point $$P$$ on a rough inclined plane with inclination angle $$\theta$$, shown in View Question Newton's law of viscosity states that the shear stress in a fluid is proportional to : View Question Oil in a hydraulic cylinder is compressed from an initial volume $$2{m^3}$$ to $$1.96{m^3}$$. If the pressure of oil in View Question In a steady flow through a nozzle, the flow velocity on the nozzle axis is given by $$u = {u_0}\left( {1 + 3x/L} \right) View Question Which combination of the following statements about steady incompressible forced vortex flow is correct? P: Shear stres View Question Oil flows through a$$200mm$$diameter horizontal cast iron pipe (friction factor,$$f=0.0225$$) of length$$500m.$$The View Question Consider steady laminar incompressible axi-symmetric fully developed viscous flow through a straight circular pipe of co View Question Consider an incompressible laminar boundary layer flow over a flat plate of length$$L, aligned with the direction of View Question Consider a steady incompressible flow through a channel as shown below. The velocity profile is uniform with a value o View Question Consider a steady incompressible flow through a channel as shown below. The velocity profile is uniform with a value o View Question Consider steady one-dimensional heat flow in a plate of20mm$$thickness with a uniform heat generation of$$80MW/{m^3 View Question Consider steady one-dimensional heat flow in a plate of $$20mm$$ thickness with a uniform heat generation of $$80MW/{m^3 View Question Building has to be maintained at$${21^ \circ }C$$(dry bulb) and$${14.5^ \circ }C$$(wet bulb). The dew point temp und View Question The temp distribution within the Laminar thermal boundary layer over a heated isothermal flat plate is given by$$\left View Question The average heat transfer coefficient on a thin hot vertical plate suspended in still air can be determined from observa View Question In a counter flow heat exchanger, hot fluid enters at $${65^ \circ }C$$ and cold fluid leaves at $${30^ \circ }C.$$ mass View Question The maximum level of inventory of item is $$100$$ and it is achieved with infinite replenishment rate. The inventory be View Question In a machine shop, pins of $$15mm$$ diameter are produced at a rate of $$1000$$ per month and the same is consumed at a View Question Capacities of production of an item over $$3$$ consecutive months in regular time are $$100,$$ $$100$$ and $$80$$ and in View Question A thin spherical pressure vessel of $$200mm$$ diameter and $$1mm$$ thickness is subjected to an internal pressure varyin View Question A bolted joint in shown below. The maximum shear stress, in $$MPa,$$ in bolts $$A$$ and $$B$$ respectively are View Question A gear set has a pinion with $$20$$ teeth and a gear with $$40$$ teeth. The pinion runs at $$30rev/s$$ and transmits a p View Question A gear set has a pinion with $$20$$ teeth and a gear with $$40$$ teeth. The pinion runs at $$30rev/s$$ and transmits a p View Question A gear set has a pinion with $$20$$ teeth and a gear with $$40$$ teeth. The pinion runs at $$30rev/s$$ and transmits a p View Question A ball bearing operating at a load $$F$$ has $$8000$$hours of life. The life of the bearing, in hours, when the load is View Question A natural feed journal bearing of diameter $$50mm$$ and length $$50mm$$ operating at $$20$$ revolutions/sec carries a lo View Question A block brake shows below has a free width of $$300$$ $$mm$$ and a mean coefficient of friction of $$0.25$$. For an acti View Question Which of the following engineering materials is the most suitable candidate for hot chamber die casting View Question If a particular $$Fe$$-$$C$$ alloy contains less than $$0.83$$% carbon, it is called View Question A $$200$$ $$mm$$ long down sprue has an area of cross section of $$650$$ $$m{m^2}$$ where the pouring basin meets the do View Question Volume of a cube of a side $$''l''$$ and volume of sphere of radius $$' r '$$ are equal. Both the cube and the sphere ar View Question Match the correct combination for following metal working processes. View Question The thickness of metallic sheet is reduced from an initial value of $$16mm$$ to a final value of $$10mm$$ in one single View Question In open die forging, a disc of diameter $$200mm$$ height $$60mm$$ is compressed without any barreling effect. The final View Question Which of the following is a solid state welding process. View Question A $$DC$$ welding machine with a linear power source characteristic provides open circuit voltage of $$80V$$ and short ci View Question Two metallic sheets, each of $$2.0$$ $$mm$$ thickness are welded in lap joint configuration by resistance spot welding View Question A low carbon steel bar of $$147$$ $$mm$$ diameter with length of $$630$$ $$mm$$ is being turned with uncoated carbide in View Question A low carbon steel bar of $$147$$ $$mm$$ diameter with length of $$630$$ $$mm$$ is being turned with uncoated carbide in View Question In orthogonal turning of a low carbon steel bar of diameter $$150mm$$ with uncoated carbide tool, the cutting velocity i View Question In orthogonal turning of medium carbon steel, the specific machining energy is $$2$$ $$kJ/m{m^3},$$ the cutting velocity View Question In orthogonal turning of low carbon steel pipe with principal cutting edge angle of $$90,$$ the main cutting force is $$View Question The force requirement in a blanking operation of low carbon steel sheet is$$5.0kN.$$The thickness of the sheet is View Question A hole is specified as$${40^{\matrix{ {0.050} \cr {0.000} \cr } }}\,\,mm.$$The mating shaft has a clearanc View Question Which type of motor is used in axial or spindle drives of$$CNC$$m/c tools View Question A steel rod of length$$L$$and diameter$$D$$, fixed at both ends, is uniformly heated to a temperature rise of$$\Delt View Question In a simply-supported beam loaded as shown below, the maximum bending moment in N-m is View Question A disc of radius' r 'has a hole of radius 'r/2' cut-out as shown. The centroid of the remaining disc (shaded portion) at View Question A machine frame shown in the figure below is subjected to a horizontal force of $$600$$ $$N$$ parallel to $$Z$$-directio View Question A machine frame shown in the figure below is subjected to a horizontal force of $$600$$ $$N$$ parallel to $$Z$$-directio View Question A uniformly loaded propped cantilever beam and its free body diagram are shown below. The reactions are View Question A stepped steel shaft shown below is subjected to $$10$$ N-m torque. If the modulus of rigidity is $$80$$ GPa, the strai View Question A quick return mechanism is shown in below. The crank OS is drive at $$2$$ rev/s in counter clockwise direction If the View Question The input link Q2P of a four bar linkage is rotated at $$2$$ rad/s counter clockwise direction as shown below. The angul View Question A quick return mechanism is shown in below. The crank OS is drive at $$2$$ rev/s in counter clockwise direction The ang View Question The speed of an engine varies from $$210$$ rad/s to $$190$$ rad/s. During cycle the change in kinetic energy is found to View Question For an under damped harmonic oscillator, resonance View Question The equation of motion of a harmonic oscillator is given by $${{{d^2}x} \over {d{t^2}}} + 2\xi {\omega _n}{{dx} \over {d View Question The natural frequency of the system shown below is View Question Water has a critical specific volume of$$0.003155{m^3}/kg.$$A closed and rigid steel tank of volume$$0.025{m^3}
View Question
A heat transformer is a device that transfers a part of the heat, supplied to it at an intermediate temperature, to a hi
View Question
An irreversible heat engine extracts heat from a high temperature source at a rate of $$100kW$$ and rejects heat to a si
View Question
Which of the following relationships is valid only for reversible process undergone by a closed system of simple compres
View Question
Which combination of the following statements is correct? The incorporation of re-heater in a steam power plant. $$P:$$
View Question
A model of a hydraulic turbine is tested at a head of $$1/{4^{th}}$$ of that under which the full scale turbine works. T
View Question
The inlet angle of runner blades of a Francis turbine is $${90^0}.$$ The blades are so shaped that the tangential compon
View Question
Match the items in columns $$I$$ and $$II$$. Column $$I$$ $$P:$$ Centrifugal compressor $$Q:$$ Centrifugal pump $$R:$$ P
View Question
EXAM MAP
Medical
NEET