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GATE ME 1994

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

Find out the eigen value of the matrix $$A = \left[ {\matrix{ 1 & 0 &...
The value of $$\int\limits_0^\infty {{e^{ - {y^3}}}.{y^{1/2}}} $$ dy is _______...
If $$H(x, y)$$ is homogeneous function of degree $$n$$ then $$x{{\partial H} \ov...
For the differential equation $$\,\,{{dy} \over {dt}} + 5y = 0\,\,$$ with $$y(0...
Solve for $$y$$ if $${{{d^2}y} \over {d{t^2}}} + 2{{dy} \over {dt}} + y = 0$$ wi...
If $$f(t)$$ is a finite and continuous Function for $$t \ge 0$$ the laplace tran...
A stone of mass m at the end of a string of length l is whirled in a vertical ci...
Streamlines, path lines and streak lines are virtually identical for
In a flow field, the streamlines and equipotential lines
For a fluid element in a two dimensional flow field ($$x-y$$ plane), it will und...
Circulation is defined as line integral of tangential component of velocity abou...
Existence of velocity potential implies that
Bodies in floatation to be in stable equilibrium the necessary and sufficient co...
Bernoulli’s equation can be applied between any two points on a stream line for ...
In a venturimeter, the angle of the diverging section is more than that of conve...
For a fully developed laminar flow through a pipe, the ratio of the maximum velo...
Prandtl’s mixing length is turbulent flow signifies
Fluid is flowing with an average velocity of $$V$$ through a pipe of diameter $$...
The necessary and sufficient condition which brings about separation of boundary...
As the transition from laminar to turbulent flow is induced in a cross flow past...
Two insulting materials of thermal conductivity $$K$$ and $$2K$$ are available f...
When the fluid velocity is doubled the thermal time constant of a thermometer us...
For air near atmospheric condition flowing over a flat plate the laminar thermal...
The shape factors with themselves of two infinitely long black body concentric c...
The practice to use steam on the shell side and cooling water on the tube side i...
Two streams of fluid of unit constant specific heats and unit mass flow rate exc...
Two shafts $$A$$ and $$B$$ are made of the same material. The diameter of shaft ...
Only $$4$$ pairs can be matched : <img class="question-image" src="https://image...
The process of hot extrusion is used to produce
Calculate the bite angle when rolling plates $$12mm$$ thick using work rolls $$6...
The electrodes used in $$arc$$ welding are coated. This coating is not expected ...
The ratio of acetylene to oxygen is approximately ................ for neutral f...
Generally cylindrical parts produced by powder metallurgy should not have non un...
A single point cutting tool made of $$HSS$$ has the value of constant $$'C'$$ $$...
A mild steel block of width $$40$$ $$mm$$ is being milled using a straight slab ...
To get good surface finish on a turned job, one should use a sharp tool with a ....
A grinding wheel $$A$$ $$27$$ $$K7$$ $$V$$ is specified for finish grinding of a...
In deep drawing of sheets, the values of limiting draw ratio depends on
$$CNC$$ machines are more economical to use even for simple turning jobs.
$$CNC$$ machines are more accurate than conventional machines because they have ...
Below Fig. shows a rigid bar hinged at A and supported in a horizontal position ...
Two shafts $$A$$ and $$B$$ are made of the same material. The diameter of shaft ...
For the case of a slender column of length $$l,$$ and flexural rigidity $$EI$$ b...
In spur gears having involute teeth, the product of circular pitch and diametral...
The definition of 1 K as per the internationally accepted temperature scale is
Any thermodynamic cycle operating between two temperature limits is reversible i...
A $$1500$$ $$W$$ electrical heater is used to heat $$20$$ $$kg$$ of water $$\lef...
The slopes of constant volume and constant pressure lines in the $$T$$-$$s$$ dia...
For a given set of operating pressure limits of a Rankine cycle, the highest eff...
For a single stage impulse turbine with rotor diameter of $$2$$ $$m$$ and a spee...
In terms of speed of rotation of the impeller $$N$$, discharge $$Q$$ and a chang...

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