GATE 1994 Mechanical Engineering
47 questions across 1 session
Existence of velocity potential implies that
Bodies in floatation to be in stable equilibrium the necessary and sufficient condition is that the center of gravity is located below the _____________
$$CNC$$ machines are more accurate than conventional machines because they have a high resolution encoder and digital readouts for positioning
For a fully developed laminar flow through a pipe, the ratio of the maximum velocity to the average velocity is ___________ (fill in the blank)
The value of $$\int\limits_0^\infty {{e^{ - {y^3}}}.{y^{1/2}}} $$ dy is _________.
Circulation is defined as line integral of tangential component of velocity about a _________ (fill in the blank)
The practice to use steam on the shell side and cooling water on the tube side in condensers of steam power plant is because
For the differential equation $$\,\,{{dy} \over {dt}} + 5y = 0\,\,$$ with $$y(0)=1,$$ the general solution is
To get good surface finish on a turned job, one should use a sharp tool with a ......... Feed rate and ............... Speed of rotation of the job.
A single point cutting tool made of $$HSS$$ has the value of constant $$'C'$$ $$80,$$ and $$n=0.2$$ in the basic tool life equation. If the tool cost per regrind is Rs $$2$$ and th...
For a fluid element in a two dimensional flow field ($$x-y$$ plane), it will undergo
Calculate the bite angle when rolling plates $$12mm$$ thick using work rolls $$600mm$$ diameter and reducing the thickness by $$3mm$$
A mild steel block of width $$40$$ $$mm$$ is being milled using a straight slab cutter $$70mm$$ diameter with $$30$$teeth. If the cutter rotates at $$40$$$$rpm$$ and the depth of c...
For air near atmospheric condition flowing over a flat plate the laminar thermal boundary layer is thicker than hydrodynamic boundary layer
Generally cylindrical parts produced by powder metallurgy should not have non uniform cross section and a length to diameter ratio exceeding . . . . . . . . . . . . . . .
In a flow field, the streamlines and equipotential lines
A stone of mass m at the end of a string of length l is whirled in a vertical circle at a constant speed. The tension in the string will be maximum when the stone is
Prandtl’s mixing length is turbulent flow signifies
The process of hot extrusion is used to produce
If $$f(t)$$ is a finite and continuous Function for $$t \ge 0$$ the laplace transformation is given by $$F = \int\limits_0^\infty {{e^{ - st}}\,\,f\left( t \right)dt,} $$ then for...
For a single stage impulse turbine with rotor diameter of $$2$$ $$m$$ and a speed of $$3000$$ $$rpm$$ when the nozzle angle is $${20^0},$$ the optimum velocity of steam in $$m/s$$
For a given set of operating pressure limits of a Rankine cycle, the highest efficiency occurs for
The slopes of constant volume and constant pressure lines in the $$T$$-$$s$$ diagram are ___________ and ___________respectively.
Any thermodynamic cycle operating between two temperature limits is reversible if the product of efficiency when operating as a heat engine and the coefficient of performance when...
As the transition from laminar to turbulent flow is induced in a cross flow past a circular cylinder the value of the drag coefficient drops.
The definition of 1 K as per the internationally accepted temperature scale is
A $$1500$$ $$W$$ electrical heater is used to heat $$20$$ $$kg$$ of water $$\left( {{C_p} = 4186\,\,J/kg\,\,K} \right)$$ in an insulated bucket, from a temperature of $${30^{^0}}C$...
In deep drawing of sheets, the values of limiting draw ratio depends on
The shape factors with themselves of two infinitely long black body concentric cylinders with a dia ratio of $$3$$ are ....... For the inner and ..... for the outer
The ratio of acetylene to oxygen is approximately ................ for neutral flame used in gas welding
Two insulting materials of thermal conductivity $$K$$ and $$2K$$ are available for lagging a pipe carrying a hot fluid. If the radial thickness of each material is same
In spur gears having involute teeth, the product of circular pitch and diametral pitch is _________
In terms of speed of rotation of the impeller $$N$$, discharge $$Q$$ and a change in total head $$H$$, through the machine,the Specific Speed for a pump is ________________ (fill t...
The necessary and sufficient condition which brings about separation of boundary layer is $${{dP} \over {dx}} > 0$$
If $$H(x, y)$$ is homogeneous function of degree $$n$$ then $$x{{\partial H} \over {\partial x}} + y{{\partial H} \over {\partial y}} = nH$$
When the fluid velocity is doubled the thermal time constant of a thermometer used for measuring the fluid temperature reduces by a factor of $$2$$
$$CNC$$ machines are more economical to use even for simple turning jobs.
Fluid is flowing with an average velocity of $$V$$ through a pipe of diameter $$d.$$ over a length of $$L,$$ the “head” loss is given by $${{fL{V^2}} \over {2gD}}.$$ The friction f...
Two shafts $$A$$ and $$B$$ are made of the same material. The diameter of shaft $$B$$ is twice that of shaft $$A.$$ The ratio of power which can be transmitted by shaft $$A$$ to th...
Find out the eigen value of the matrix $$A = \left[ {\matrix{ 1 & 0 & 0 \cr 2 & 3 & 1 \cr 0 & 2 & 4 \cr } } \right]$$ for any one of the eigen values, find out the corresponding ei...
A grinding wheel $$A$$ $$27$$ $$K7$$ $$V$$ is specified for finish grinding of a $$HSS$$ cutting tool. What do you understand about the wheel from the above code. Is this an approp...
The electrodes used in $$arc$$ welding are coated. This coating is not expected to
Streamlines, path lines and streak lines are virtually identical for
Solve for $$y$$ if $${{{d^2}y} \over {d{t^2}}} + 2{{dy} \over {dt}} + y = 0$$ with $$y(0)=1$$ and $${y^1}\left( 0 \right) = 2$$
Two streams of fluid of unit constant specific heats and unit mass flow rate exchange thermal energy in an adiabatic heat exchanger. The inlet temps of hot and cold streams are $${...
For the case of a slender column of length $$l,$$ and flexural rigidity $$EI$$ built-in at its base and free at the top, the Euler’s critical buckling load is
Two shafts $$A$$ and $$B$$ are made of the same material. The diameter of shaft $$B$$ is twice that of shaft $$A$$. the ratio of power which can be transmitted by shaft $$A$$ to th...