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GATE ME 2003

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

The solution of the differential equation $${{dy} \over {dx}} + {y^2} = 0$$ is
A truss consists of horizontal members (AC, CD, DB and EF) and vertical members ...
A bullet of mass ‘m’ travels at a very high velocity v (as shown in the figure) ...
A reel of mass $$'‘m'’$$ and radius of gyration $$'‘'k’$$ is rolling down smooth...
A reel of mass $$'‘m'’$$ and radius of gyration $$'‘'k’$$ is rolling down smooth...
A cylindrical body of cross - sectional area A, height $$H$$ and density $${\rho...
A water container is kept on a weighing balance. Water from a tap is falling ver...
Air flows through a venture and into atmosphere. Air density is $$\rho $$; atmos...
A syringe with a frictionless plunger contains water and has at its end a $$100$...
A syringe with a frictionless plunger contains water and has at its end a $$100$...
Heat is being transferred by convection from water at $${48^ \circ }C$$ to a gla...
Heat is being transferred by convection from water at $${48^ \circ }C$$ to a gla...
Consider a laminar boundary layer over a heated flat plate. The free stream velo...
A plate having $$10\,\,c{m^2}$$ area each side is hanging in the middle of a roo...
In a counter flow heat exchanger, for the hot fluid the heat capacity $$= 2kJ/kg...
Market demand for springs is $$8,00,000$$ per annum. A company purchases these s...
A project consists of activities $$A$$ to $$M$$ shown in the net in the followin...
The sale of cycles in a shop in four consecutive months are given as $$70, 68, 8...
A manufacturer produces two types of products, $$1$$ and $$2,$$ at production le...
In terms of theoretical stress concentration factor $$\left( {{k_t}} \right)$$ ...
The $$S$$-$$N$$ curve for steel becomes asymptotic nearly at
In a band brake the ratio of tight side band tension to the tension on the slack...
Hardness of green sand mould increase with
With a solidification factor of $$0.97 \times {10^6}s/{m^2},$$ the solidificatio...
Cold working of steel is defined as working
A brass billet is to be excluded from its initial diameter of $$100mm$$ to a fin...
In Oxyacetylene gas welding, temperature at the inner cone of the flame is aroun...
Match the following <img class="question-image" src="https://imagex.cdn.examgoa...
The arc - voltage characteristics of a $$DC$$ power source has a linear power s...
Formation on build-up edge during machining can be avoided by using
A batch of $$10$$ cutting tools could produce $$500$$ components while working a...
A cylinder is turned on a lathe with orthogonal machining principle. Spindle rot...
A cylinder is turned on a lathe with orthogonal machining principle. Spindle rot...
A good cutting fluid should have
Quality screw threads are produced by
A shell of $$100$$ $$mm$$ diameter and $$100$$ $$mm$$ height with the corner rad...
A metal disc of $$20$$ $$mm$$ diameter is to be punched from a sheet of $$2$$ $$...
The dimensional limits on a shaft of $$25h7$$ are
A part shown in the gig is machined to the sizes given below <img class="questi...
A threaded nut of $$M16, $$ $$ISO$$ metric type having $$2$$ $$mm$$ pitch with a...
Two identical circular rods of same diameter and same length are subjected to sa...
A $$200 \times 100 \times 50$$ mm steel block is subjected to a hydrostatic pres...
A shaft subjected to torsion experiences a pure shear stress $$\tau $$ on the su...
The state of stress at a point P in a two dimensional loading is such that the M...
The state of stress at a point P in a two dimensional loading is such that the M...
The second moment of a circular area about the diameter is given by (D is the di...
The beams, one having square cross section and another circular cross-section,ar...
Maximum shear stress developed on the surface of a solid circular shaft under pu...
A simply supported laterally loaded beam was found to deflect more than a specif...
The mechanism used in a shaping machine is
The lengths of the links of a 4-bar linkage with revolute pairs only are $$p,q,r...
The circular disc shown in its plan view in the figure rotates in a plane parall...
The circular disc shown in its plan view in the figure rotates in a plane parall...
The overall gear ratio in a 2 stage speed reduction gear box (with all spur gear...
The overall gear ratio in a 2 stage speed reduction gear box (with all spur gear...
For a certain engine having an average speed of $$1200$$ rpm, a flywheel approxi...
A flexible rotor-shaft system comprises of a $$10kg$$ rotor disc placed in the m...
A uniform rigid slender bar of mass $$10$$ $$kg.$$ is hinged at the left end is...
A uniform rigid slender bar of mass $$10$$ $$kg.$$ is hinged at the left end is...
A $$2$$ $$kW,$$ $$40$$ liter water heater is switched on for $$20$$ minutes. The...
An industrial heat pump operates between the temperatures of $${27^ \circ }C$$ a...
Considering the relationship $$TdS=dU+PdV$$ between the entropy $$(S),$$ interna...
Nitrogen gas (molecular weight $$28$$) is enclosed in a cylinder by a piston, at...
Nitrogen gas (molecular weight $$28$$) is enclosed in a cylinder by a piston, at...
Considering the variation of static pressure and absolute velocity in an impulse...
In a Rankine cycle, regeneration results in higher efficiency because
Match the following <img class="question-image" src="https://imagex.cdn.examgoa...

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