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## GATE ME 2006

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

Eigen values of a matrix $$S = \left[ {\matrix{ 3 &amp; 2 \cr 2 &amp; 3 ... Multiplication of matrices$$E$$and$$F$$is$$G.$$Matrices$$E$$and$$G$$ar... For$$\,\,\,{{{d^2}y} \over {d{x^2}}} + 4{{dy} \over {dx}} + 3y = 3{e^{2x}},\,\,...
The solution of the differential equation $${{dy} \over {dx}} + 2xy = {e^{ - {x^... If point A is in equilibrium under the action of the applied forces, the values ... For a Newtonian fluid: A two-dimensional flow field has velocities along the$$x$$and$$y$$directions... In a two-dimensional velocity field with velocities$$u$$and$$v$$along$$x$$... The velocity profile in fully developed laminar flow in a pipe of diameter$$D$$... A siphon draws water from a reservoir and discharges it out at atmospheric press... A smooth flat plate with a sharp leading edge is placed along a gas stream flowi... A smooth flat plate with a sharp leading edge is placed along a gas stream flowi... In a composite slab, the temperature at the interface <b>(T<sub>inter</sub>)</b>... With an increase in the thickness of insulation around a circular pipe, heat los... A$$100W$$electric bulb was switched on in a$$2.5 \times 3 \times 3m$$si... Consider the following data for an item. <br>Annual demand:$$2500$$units per ... A stockist wishes to optimize the number of perishable items he needs to stock i... Consider a$$PERT$$network for a project involving six tasks ($$a$$to$$f$$) <... Consider a$$PERT$$network for a project involving six tasks ($$a$$to$$f$$) <... The table gives details of an assembly line. <img class="question-image" src="ht... The number of customers arriving at a railway reservation counter is Poisson dis... A firm is required to procure three items$$(P, Q$$and$$R).$$The prices quote... A cylindrical shafts is subjected to an alternating stress of$$100MPa.$$Fatigu... A$$60mm$$long and$$6mm$$thick fillet weld carries a steady load of$$15kN$$... Twenty degree full depth involute profiled$$19$$-tooth pinion and$$37$$-tooth ... A disk clutch is required to transmit$$5kW$$at$$2000rpm$$the disk ... An expendable pattern is used in In a sand casting operation, the total liquid head is maintained constant such t... A$$4mm$$thick sheet is rolled with$$300mm$$diameter rolls to reduc... In a wire drawing operation, diameter of a steel wire is reduced from$$10m...
In arc welding process, the voltage and current are $$25V$$ and $$300A$$ respect...
In an orthogonal machining operation: <br>$$\,\,\,\,\,\,\,\,\,\,$$Uncut thicknes...
In an orthogonal machining operation: <br>$$\,\,\,\,\,\,\,\,\,\,$$Uncut thicknes...
In an orthogonal machining operation: <br>$$\,\,\,\,\,\,\,\,\,\,$$Uncut thicknes...
If each abrasive grain is viewed as a cutting tool, then which of the following ...
Match the items in column $${\rm I}$$ and $${\rm I}$$ $${\rm I}$$ <img class="qu...
Ring gage is used to measure
$$NC$$ contouring is an example of
A steel bar of 40 mm × 40 mm square cross-section is subjected to an axial compr...
A bar having a cross-sectional area of 700 mm<sup>2</sup> is subjected to axial ...
A simply supported beam of span length $$6$$m and $$75$$ mm diameter carries a u...
A simply supported beam of span length $$6$$m and $$75$$ mm diameter carries a u...
For a circular shaft of diameter $$'d'$$ subjected to torque $$T,$$ the maximum ...
A pin-ended column of length $$L,$$ modulus of elasticity $$E$$ and second momen...
For a four bar linkage in Toggle position, the value of mechanical advantage is ...
The number of inversions for a slider crank mechanism is
Match the items in column $$I$$ and $$II$$ <p><b>List $$I$$</b> <br>$$P.$$ Highe...
In a four-bar linkage, $$S$$ denotes the shortest link length, $$L$$ is the long...
Match the items in columns $$I$$ and $$II$$ <p><b>Column $$I$$</b> <br>$$P.$$ Ad...
A planetary gear train has four gears and one carrier. Angular velocities of the...
A planetary gear train has four gears and one carrier. Angular velocities of the...
If $${C_f}$$ is the coefficient of speed fluctuation of a flywheel then the rati...
The differential equation governing the vibrating system is <img class="questio...
A machine of $$250$$ kg mass is supported on springs of total stiffness $$100$$ ...
A vibratory system consists of a mass $$12.5$$ kg, a spring of stiffness $$1000... A vibratory system consists of a mass$$12.5$$kg, a spring of stiffness$$1000$... Given below is an extract from steam tables. <img class="question-image" src="ht... Match items from groups, $${\rm I},$$ $${\rm II},$$ $${\rm III},$$ $${\rm IV}$$ ... A football was inflated to a gauge pressure of $$1$$ bar when the ambient temper... A football was inflated to a gauge pressure of $$1$$ bar when the ambient temper... A $$100$$ $$W$$ electric bulb was switched on in a $$2.5\,m \times 3m \times 3m... Determine the correctness or otherwise of the following Assertion$$(a)$$and th... <b>Assertion (A):</b> Condenser is an essential equipment in a steam power plant... In a Pelton wheel, the bucket peripheral speed is$$10m/s,$$the water jet ... A large hydraulic turbine is to generate$$300kW$$at$$1000rpm$\$ unde...
A horizontal shaft centrifugal pump lifts ware at 65°C. The suction nozzle is on...

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