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GATE ME 2004

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

For what value of $$x$$ will the matrix given below become singular? $$\left[ {\...
The sum of the eigen values of the matrix $$\left[ {\matrix{ 1 & 1 & ...
The volume of an object expressed in spherical co-ordinates is given by <br>$$V...
If $$\,\,\,x = a\left( {\theta + Sin\theta } \right)$$ and $$y = a\left( {1 - C...
From a pack of regular playing cards, two cards are drawn at random. What is the...
The following data about the flow of liquid was observed in a continuous chemica...
The figure shows a pin-jointed plane truss loaded at the point M by hanging a ma...
The figure below shown a pair of pin jointed gripper tongs holding an object wei...
A rigid body shown in the fig.(a) has a mass of 10kg. It rotates with a uniform ...
An ejector mechanism consists of a helical compression spring having a spring co...
An incompressible fluid (kinematic viscosity $$ = 7.4 \times {10^{ - 7}}\,\,{m^2...
A fluid flow is represented by the velocity field $$\overrightarrow V = ax\,\ov...
A closed cylinder having a radius $$R$$ and height $$H$$ is filled with oil of d...
For a fluid flow through a divergent pipe of length $$L$$ having inlet and outle...
The pressure gauges $${G_1}$$ and $${G_2}$$ installed on the system shown pressu...
The pressure gauges $${G_1}$$ and $${G_2}$$ installed on the system show pressur...
For air flow over a flat plate, velocity $$(U)$$ and boundary layer thickness $$...
One dimensional unsteady state heat transfer equation for a sphere with heat gen...
A spherical thermocouple junction of diameter $$0.706 mm$$ is to be used for the...
In a condenser, water enters at $${30^ \circ }C$$ and flows at the rate $$1500$$...
There are two products P and Q with the following characteristics <img class="qu...
A company has an annual demand of $$1000$$ units, ordering cost of Rs.$$100$$/or...
In $$PERT$$ analysis a critical activity has
For a product, the forecast and the actual sales for December $$2002$$ were $$25...
An electronic equipment manufacturer has decided to add a component sub-assembly...
A maintenance service facility has Poisson arrival rates, negative exponential s...
A company produces two types of toys: $$P$$ and $$Q.$$ Production time of $$Q$$ ...
Two mating spur gears have $$40$$ and $$120$$ teeth respectively. The pinion rot...
A compacting machine shown in the figure below is used to create a desired thrus...
A compacting machine shown in the figure below is used to create a desired thrus...
Misrun is a casting defect which occurs due to
Gray cast iron blocks $$200 \times 100 \times 10\,\,mm$$ are to be cast in sand ...
In a rolling process, sheet of $$25$$ $$mm$$ thickness is rolled to $$20$$ $$mm$...
Two 1 mm thick steel sheets are to be spot welded at a current of $$5000$$ $$A.$...
In a machining operation, doubling the cutting speed reduces the tool life to $$...
A standard machine tool and an automatic machine tool are being compared for the...
In an orthogonal cutting test on mild steel, the following data were obtained <...
Through holes of $$10$$ $$mm$$ diameter are to be drilled in steel plate of $$20...
$$10$$ $$mm$$ diameter holes are to be punched in a steel sheet of $$3$$ $$mm$$ ...
A hole of diameter $${25.00^{ + 0.01}}\,\,mm$$ is to be inspected by using GO / ...
During the execution of a CNC part program block <br>$$NO20\,\,\,\,GO2\,\,\,\,X...
In a $$2-D$$ $$CAD$$ package, clockwise circular arc of radius, $$5,$$ specified...
A uniform, slender cylindrical rod is made of a homogeneous and isotropic materi...
In terms of Poisson's ratio $$\left( \mu \right)$$ the ratio of Young's Modulus...
The figure below shows a steel rod of $$25$$ mm<sup>2</sup> cross sectional area...
The figure shows the state of stress at a certain point in a stressed body. The ...
The Mohr's circle of plane stress for a point in a body is shown. The design is ...
A torque of $$10$$ $$N-m$$ is transmitted through a stepped shaft as shown in fi...
A solid circular shaft of $$60$$ mm diameter transmits a torque of $$1600$$ N - ...
A steel beam of breadth 120 mm and height 750 mm is loaded as shown in the figur...
A steel beam of breadth 120 mm and height 750 mm is loaded as shown in the figur...
For a mechanism shown below, the mechanical advantage for the given configuratio...
Match the following <br><b>Type of Mechanism</b> <br>$$P.$$ Scott - Russel mech...
In the figure shown, the relative velocity of link $$1$$ with respect to link $$...
Match the following with respect to spatial mechanism. <p><b>Type of Joint</b> <...
The figure below shows a planar mechanism with single degree of freedom. The ins...
A vibrating machine is isolated from the floor using springs. If the ratio of ex...
A uniform stiff rod of length $$300$$ $$mm$$ and having a weight of $$300$$ $$N$...
A mass M, of 20 kg is attached to the free end of a steel cantilever beam of len...
A gas contained in a cylinder is compressed, the work required for compression b...
A heat engine having an efficiency of $$70\% $$ is used to drive a refrigerator ...
A solar collector receiving solar radiation at the rate of $$0.6$$$$kW/{m^2}$$ t...
A steel billet of $$2000$$ $$kg$$ mass is to be cooled from $$1250$$ $$K$$ to $$...
Consider a steam power plant using a reheat cycle as shown. Steam leaves the boi...
Consider a steam power plant using a reheat cycle as shown. Steam leaves the boi...
A centrifugal pump is required to pump water to an open water tank situated $$4$...
At a hydro electric power plant site, available head and flow rate are $$24.5$$ ...

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