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GATE ME 1993

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

$$\mathop {Lim}\limits_{x \to 0} {{x\left( {{e^x} - 1} \right) + 2\left( {\cos x...
The function $$f\left( {x,y} \right) = {x^2}y - 3xy + 2y + x$$ has
The differential equation $${y^{11}} + y = 0\,$$ is subjected to the conditions ...
The differential $$\,\,\,{{{d^2}y} \over {d{x^2}}} + {{dy} \over {dx}} + \sin y ...
Given the differential equation $${y^1} = x - y$$ with initial condition $$y(0)=...
Simpson's rule for integration gives exact result when $$f(x)$$ is a polynomial ...
The laplace transform of the periodic function $$f(t)$$ described by the curve b...
The cylinder shown below rolls without slipping. In which direction does the fri...
A velocity field is given as $$$\overrightarrow V = 3{x^2}y\widehat i - 6xyz\w...
Shown below are three pipe sections through which water flows as shown. Option $...
Shown below are three cylindrical gates which restrain water in $$2$$-$$D$$ chan...
Shown below are three tanks, tank $$1$$ without an orifice tube and tanks $$2$$ ...
The velocity profile across a boundary layer on a flat plate may be approximated...
An electric hot plate is maintained at a temperature of $${350^ \circ }C,$$ and ...
The radiative heat transfer rate per unit area $$\left( {W/{m^2}} \right)$$ betw...
For a small project with five jobs, the following data is given <img class="que...
The outside diameter of a hollow shaft is twice its inside diameter. The ratio o...
The yield strength of a steel shaft is twice its endurance limit. Which of the f...
Centrifugally casted products have
An aluminium cube of $$10$$ $$cm$$ side has to be cast along with a cylindrical ...
In $$DC$$ welding, the straight polarity (electrode negative) results in
A milling cutter having $$8$$ teeth is rotating at $$150$$ $$rpm.$$ If the feed ...
A shaft of diameter $${20^{\matrix{ { + 0.05} \cr { - 0.15} \cr } }}...
With reference to $$NC$$ machines, which of the following statements is wrong?
Determine the temperature rise necessary to induce buckling in a 1 m long circul...
At a point in a stressed body the state of stress on two planes $$45$$<sup>0</su...
A concentrated load $$P$$ acts on a simply supported beam of span $$L$$ at a dis...
A circular rod of diameter $$d$$ and length $$3d$$ is subjected to a compressive...
The compound shaft shown is built-in at the two ends. It is subjected to a twist...
The number of degrees of freedom of a five link plane mechanism with five revolu...
During the phase change of a pure substance:
The relationship $$\,{\left( {\partial T/{\partial _p}} \right)_h} = 0$$ holds g...
At the point of a pure substance, the number of degrees of freedom is :
In the vicinity of the triple point, the vapour pressures of liquid and solid am...
A vessel of volume $$\,\,1.0\,\,{m^3}$$ contains a mixture of liquid water and s...
An insulated rigid vessel contains a mixture of fuel and air. The mixture is ign...
A body of weight $$100$$ $$N$$ falls freely a vertical distance of $$50m$$.The a...
The first law of thermodynamics takes the form $$W = - \Delta \,H$$ when applie...
A rigid insulated cylinder has two compartments separated by a thin membrane. Wh...
A vertical cylinder with a freely floating piston contains $$0.1$$ $$kg$$ air a...
A reversible heat transfer demands:
Round the clock cooling of an apartment having a load of $$300$$ $$MJ/day$$ requ...
When a system executes an irreversible cycle:
Which among the following relations is/are valid ONLY for reversible process und...
Figure below shows a reversible heat engine $${E_R}$$ having heat interactions w...
The equivalent evaporation $$(kg/hr)$$ of a boiler producing $$2000$$ $$kg/hr$$ ...
In a single stage single row impulse turbine, the steam is entering at a velocit...
Cavitation in a hydraulic reaction turbine is most likely to occur at the turbin...
Specific speed of a Kaplan turbine ranges between

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