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## GATE ME 1996

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

In the Gauss - elimination for a solving system of linear algebraic equations, t...
The eigen values of $$\left[ {\matrix{ 1 &amp; 1 &amp; 1 \cr 1 &amp; 1 &... If a function is continuous at a point its first derivative The expression curl$$\left( {grad\,f} \right)$$where$$f$$is a scalar functio... The particular solution for the differential equation$${{{d^2}y} \over {d{t^2}}...
The one dimensional heat conduction partial difference equation $$\,\,{{\partial...$${i^i}$$, where$$i\, = \,\sqrt { - 1} $$is given by A ball A of mass m falls under gravity from a height h and strikes another ball ... A wheel of mass m and radius r is in accelerated rolling motion without slip und... AB and CD tow uniform and identical bars of mass 10kg each, as shown. The hinges... A rod of length 1m is sliding in a corner as shown in. At an instant when the ro... Match 4 correct pairs between <b>List$$I$$</b> and <b>List$$II$$</b>. No cred... A fluid is one which can be defined as a substance that: The dimension of surface tension is : A mercury manometer is used to measure the static pressure at a point in a water... For laminar flow through a long pipe, the pressure drop per unit length increase... For a given heat flow and for the same thickness, the temp drop across the mater... For a current carrying wire of$$20mm$$diameter and having$$k=0.5W/mK$$i... <b>Match List -$${\rm I}$$with List -$${\rm II}$$and select the correct answ... In an assembly line for assembling toys, five workers are assigned tasks which t... If at the optimum in a linear programming problem, a dual variable corresponding... A job shop incurs a cost of Rs.$$60$$/- per day for each day a job is in the sho... A solid shaft can resist a bending moment of$$3.0kNm$$and a twisting mome... If the ratio of the diameter of river hole to the pitch of rivets is$$0.25$$, t... The bolts in a rigid flanged coupling connecting two shafts transmitting power a... In spur gears, the circle on which the involute is generated is called the In thick film hydrodynamic journal bearings, the coefficient of friction Light impurities in the molten metal are prevented from reaching the mold cavity... The pouring basin in a sand mold is$$200mm$$diameter$$100mm$$heigh... <img class="question-image" src="https://gateclass.static.cdn.examgoal.net/F9jlE... A wire of$$0.1mm$$diameter is drawn from a rod of$$15mm$$diameter dies givin... Preheating before welding is done to <img class="question-image" src="https://imagex.cdn.examgoal.net/scOdYWOl3MdZ8nO... The cross section weld bead is shown in fig the profile of the bead and the fusi... Tool life of a$$10$$hours is obtained when cutting with a single point tool a... The rake angle in drill The rake angle in drill A$$50mm$$diameter disc is to be punched out from a carbon steel sheet$$1...
The fit on a hole-shaft system is specified as $$H7$$-$$s6.$$ The type of fit is...
If the two principal strains at a point are 1000 $$\times$$ 10<sup>-6</sup> an...
Two bars AB and BC are connected by a frictionless hinge at B. The assembly is s...
A thin cylinder of $$100$$mm internal diameter and $$5$$mm thickness is subjecte...
A rod of length $$1$$ $$m$$ is sliding in a corner as shown in Fig.$$2.7.$$ At a...
Below Fig show a planetary gear train. Gears 2, 4 and 5 have 24, 40 and 144 tee...
A mass of $$1$$ kg is suspended by means of $$3$$ springs as shown in Figure. Th...
A cylinder of mass 1 kg and radius 1 m is connected by two identical springs at ...
When wet steam flows through a throttle valve and remains wet at exit
The specific heats of an ideal gas depend on its
<b>Match List - $${\rm I}$$ with List - $${\rm II}$$</b> <p><b>List - $${\rm I}... For reversible adiabatic compression in a steady flow process, the work transfer... A solar energy based heat engine which receives$$80kJ$$of heat at$${100^...
For two cycles coupled in series, the topping cycle has an efficiency of $$30\% ... An iron cube at a temperature of$$400$$deg$$C$$is dropped into an insulated ... A steam plant has the boiler efficiency of$$92\% $$, turbine efficiency (mechan... In a hydroelectric station, water is available at the rate of$$175{m^3}/s und...

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