GATE 1995 Mechanical Engineering
39 questions across 1 session
Among the following, the pair of vectors orthogonal to each other is
Diamond wheels should not be used for grinding steel components
Solve the system $$2x+3y+z=9,$$ $$4x+y=7,$$ $$x-3y-7z=6$$
The area bounded by the parabola $$2y = {x^2}$$ and the lines $$x=y-4$$ is equal to _________.
A fluid is said to be Newtonian fluid when the shear stress is
If $$\overrightarrow V $$ is a differentiable vector function and $$f$$ is sufficienty differentiable scalar function then curl $$\left( {f\overrightarrow V } \right) = $$ _______.
Match the following: List-$${\rm I}$$ (A) Worm gears (B) Cross helical gears (C) Bevel gears (D) Spur gears List-$${\rm I}{\rm I}$$ 1. Parallel shafts 2. Non-parallel, intersecting...
Determine the transformation ratio $$(TR)$$ of the gear train connecting the spindle and the lead screw of $$4TPI$$ required to cut $$1.0mm$$ pitch screw threads in a center lathe
In fully developed laminar flow in the circular pipe, the head loss due to friction is directly proportional to ....... (Mean velocity/square of the mean velocity)
Consider the following data for a product: Demand $$=1000$$ units/year Order cost $$=$$ Rs.$$40$$/order Holding cost $$ = 10\% $$ of the unit cost / unit-year Unit cost $$=$$ Rs.$$...
While turning a $$C15$$ steel of $$160mm$$ diameter at $$215rpm,$$ $$2.5mm$$ depth of cut and feed of $$0.16mm/rev$$ by a tool of geometry $$0-10-8-9-15-75-0mm,$$ the following obs...
In $$PERT,$$ the distribution of activity times is assumed to be
Checking the diameter of a hole using GO and NOGO gauges is an example of inspection by …………… (variables/attributes)
The velocity components in the $$x$$ and $$y$$ directions are given by $$u = \lambda x{y^3} - {x^2}y,$$ $$v = x{y^2} - {3 \over 4}{y^4}.$$ The value of $$\lambda $$ for a possible...
The solution to the differential equation $$\,{f^{11}}\left( x \right) + 4{f^1}\left( x \right) + 4f\left( x \right) = 0$$
The manufacturing area of a plant is divided into four quadrants. Four machines have to located one in each quadrant. The total number of possible layouts is
Plain milling of mild steel plates produces
One kilomole of an ideal gas is throttled from an initial pressure of $$0.5$$ $$MPa$$ to $$0.1$$ $$MPa.$$ The initial temperature is $$300$$ $$K.$$ The entropy change of the univer...
In the case of a refrigeration system undergoing an irreversible cycle, $$\oint {{{SQ} \over T}} $$ is _____________$$\left( { < 0/ = 0/ > 0} \right)$$
In adiabatic flow with friction, the stagnation temperature along a streamline ____________ (increase / remains constant)
Constant pressure lines in the super-heated region of the Mollier diagram will have
Consider a Rankine cycle with superheat. If the maximum pressure in the cycle is increased without changing the maximum temperature and the minimum pressure, the dryness fraction o...
A heat reservoir at $$900$$ $$K$$ is brought into contact with the ambient at $$300$$ $$K$$ for a short time. During this period $$9000$$ $$kJ$$ of heat is lost by the heat reservo...
Among the conventional machining processes, maximum specific energy is consumed in
Consider a refrigerator and a heat pump working on the reversed Carnot cycle between the same temperature limits. Which of the following is correct?
On the average $$100$$ customers arrive at a place each hour, and on the average the server can process $$120$$ customers per hour. What is the proportion of time the server is idl...
List $$I$$ (Gear types) (a) Worm gears (b) Cross helical gears (c) Bevel gears (d) Spur gears List $$II$$ (Applications) 1. Parallel shafts 2. Non-parallel, intersecting shafts 3....
Consider two large parallel plates, one at $${T_1} = {727^ \circ }C$$ with emissivity $${\varepsilon _1} = 0.8$$ and the other at $${T_2} = {227^ \circ }C\,$$ with emissivity $${\v...
If under a condition of plain turning the life of the cutting tool decreases by $$50\% $$ due to increase in the cutting velocity by $$20\% $$, then what is the $$\% $$ increase in...
Interference in a pair of gears is avoided, if the addendum circles of both the gears intersect common tangent to the base circles with in the points of tangency.
Slip gauges are calibrated by outside micrometer
Machine tool, structures are made ................. for high process capability (tough/ rigid/ strong)
If the demand for an item is doubled and the ordering cost halved, the economic order quantity
A single point turning tool is designated as $$${10^ \circ } - {12^ \circ } - {7^ \circ } - {5^ \circ } - {20^ \circ } - {50^ \circ } - {0^ \circ }\left( {ORS} \right)$$$ The value...
A test specimen is stressed slightly beyond the yield point and then unloaded. Its yield strength
Cutting power consumption in turning can be signification reduced by
A counter flow heat exchanger is to heat air entering at $${400^ \circ }C$$ with a flow rate of $$6$$ $$kg/s$$ by the exhaust gas entering at $${800^ \circ }C$$ with a flow rate of...
A differential equation of the form $${{dy} \over {dx}} = f\left( {x,y} \right)\,\,$$ is homogeneous if the function $$f(x,y)$$ depends only on the ratio $${y \over x}$$ (or) $${x...
A free bar of length 1 m is uniformly heated from $${0^ \circ }C$$ to a temperature of $${t^ \circ }C$$. $$\alpha $$ is the coefficient if linear expansion and $$E$$ the modulus of...