GATE ME 2022 Set 2
Paper was held on Sun, Feb 13, 2022 9:00 AM
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## GATE ME

F(t) is a periodic square wave function as shown. It takes only two values, 4 and 0, and stays at each of these values f
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Consider a cube of unit edge length and sides parallel to co-ordinate axes, with its centroid at the point (1, 2, 3). Th
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Consider the definite integral $\int^2_1(4x^2+2x+6)dx$ Let Ie&nbsp;be the exact value of the integral. If the same int
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Given&nbsp;$\int^{\infty}_{-\infty}e^{-x^2}dx=\sqrt{\pi}$ If a and b are positive integers, the value of&nbsp;$\int^{\i View Question A polynomial&nbsp;ψ(s) = ansn&nbsp;+ an-1sn-1&nbsp;+ ......+ a1s + a0&nbsp;of degree n &gt; 3&nbsp;with constant real co View Question For the exact differential equation,$\frac{du}{dx}=\frac{-xu^2}{2+x^2u}$which one of the following is the solution? View Question A is a 3&nbsp;× 5 real matrix of rank 2. For the set of homogeneous equations Ax = 0, where 0 is a zero vector and x is View Question If the sum and product of eigenvalues of a 2&nbsp;× 2 real matrix&nbsp;$\begin{bmatrix}3&amp;p\\\ p&amp;q\end{bmatrix} $View Question Given z = x +iy, i = √-1 C is a circle of radius 2 with the centre at the origin. If the contour C is traversed anticloc View Question A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft View Question Match the additive manufacturing technique in Column I with its corresponding input material in Column II. View Question A square plate is supported in four different ways (configurations (P) to (S) as shown in the figure). A couple moment C View Question A rope with two mass-less platforms at its two ends passes over a fixed pulley as shown in the figure. Discs with narrow View Question A rigid homogeneous uniform block of mass 1 kg, height h = 0.4 m and width b = 0.3 m is pinned at one corner and placed View Question A rigid body in the X-Y plane consists of two point masses (1 kg each) attached to the ends of two massless rods, each o View Question A rigid beam AD of length 3a = 6 m is hinged at frictionless pin joint A and supported by two strings as shown in the fi View Question The lengths of members BC and CE in the frame shown in the figure are equal. All the members are rigid and lightweight, View Question Consider a steady flow through a horizontal divergent channel, as shown in the figure, with the supersonic flow at the i View Question The velocity field in a fluid is given to be&nbsp;$\vec{V}=(4xy)\hat{i}+2(x^2-y^2)\hat{j}$Which of the following statem View Question A tube of uniform diameter D is immersed in a steady flowing inviscid liquid stream of velocity V, as shown in the figur View Question The steady velocity field in an inviscid fluid of density 1.5 is given to be$\vec{V}=(y^2-x^2)\hat{i}+(2xy)\hat{j} $. N View Question A uniform wooden rod (specific gravity = 0.6, diameter = 4 cm and length = 8 m) is immersed in the water and is hinged w View Question Which of the following non-dimensional terms is an estimate of Nusselt number? View Question Wien’s law is stated as follows: λmT = C, where C is 2898 μm.K and λm&nbsp;is the wavelength at which the emissive power View Question Consider steady state, one-dimensional heat conduction in an infinite slab of thickness 2L (L = 1 m) as shown in the fig View Question Saturated vapor at 200 °C condenses to saturated liquid at the rate of 150 kg/s on the shell side of a heat exchanger (e View Question Consider a hydrodynamically and thermally fully-developed, steady fluid flow of 1 kg/s in a uniformly heated pipe with d View Question An electric car manufacturer underestimated the January sales of car by 20 units, while the actual sales was 120 units. View Question The demand of a certain part is 1000 parts/year and its cost is Rs. 1000/part. The orders are placed based on the econom View Question Parts P1 - P7 are machined first on a milling machine and then polished at a separate machine. Using the information in View Question A project consists of five activities (A, B, C, D and E). The duration of each activity follows beta distribution. The t View Question A manufacturing unit produces two products Pl and P2. For each piece of P1 and P2, the table below provides quantities o View Question Which one of the following CANNOT impart linear motion in a CNC machine? View Question A shaft AC rotating at a constant speed carries a thin pulley of radius r = 0.4 m at the end C which drives a belt. A mo View Question Fluidity of a molten alloy during sand casting depends on its solidification range. The phase diagram of a hypothetical View Question A shaft of diameter&nbsp;$25^{-0.04}_{-0.07}$&nbsp;mm&nbsp;is assembled in a hole of diameter&nbsp;$25^{+0.02}_{-0.00}$& View Question Consider sand casting of a cube of edge length a. A cylindrical riser is placed at the top of the casting. Assume solidi View Question Which of these processes involve(s) melting in metallic workpieces? View Question A straight-teeth horizontal slab milling cutter is shown in the figure. It has 4 teeth and diameter (D) of 200 mm. The r View Question In an orthogonal machining operation, the cutting and thrust forces are equal in magnitude. The uncut chip thickness is View Question The best size wire is fitted in a groove of a metric screw such that the wire touches the flanks of the thread on the pi View Question In a direct current arc welding process, the power source has an open circuit voltage of 100 V and short circuit current View Question A cylindrical billet of 100 mm diameter and 100 mm length is extruded by a direct extrusion process to produce a bar of View Question Which one of the following is the definition of ultimate tensile strength (UTS) obtained from a stress-strain test on a View Question A structural member under loading has a uniform state of plane stress which in usual notations is given by&nbsp;σx&nbsp; View Question A linear elastic structure under plane stress conditions is subjected to two sets of loading, I and II. The resulting st View Question A shaft of length L is made of two materials, one in the inner core and the other in the outer rim, and the two are perf View Question For a dynamical system governed by the equation,$\ddot{x}(t)+2 ζ \omega_n \dot{x}(t)+\omega_n^2x(t)=0$the damping ra View Question A spring mass damper system (mass m, stiffness k, and damping coefficient c) excited by a force F(t) = B sin ωt, where B View Question In the configuration of the planar four-bar mechanism at a certain instant as shown in the figure, the angular velocity View Question Which one of the following is an intensive property of a thermodynamic system? View Question Consider 1 kg of an ideal gas at 1 bar and 300 K contained in a rigid and perfectly insulated container. The specific he View Question In a vapour compression refrigeration cycle, the refrigerant enters the compressor in saturated vapour state at evaporat View Question A rigid tank of volume of 8 m3 is being filled up with air from a pipeline connected through a valve. Initially the valv View Question At steady state, 500 kg/s of steam enters a turbine with specific enthalpy equal to 3500 kJ/kg and specific entropy equa View Question ## General Aptitude Direction: Fill in the blank spaces in the given sentence selecting an appropriate set of words from the following optio View Question Which one of the following is a representation (not to scale and in bold) of all values of x satisfying the inequality&n View Question If$f(x)=2\ln(\sqrt{e^x})$, what is the area bounded by f(x) for the interval [0, 2] on the x-axis? View Question A person was born on the fifth Monday of February in a particular year. Which one of the following statements is correct View Question Which one of the groups given below can be assembled to get the shape that is shown above using each piece only once w View Question Fish belonging to species S in the deep sea have skins that are extremely black (ultra-black skin). This helps them not View Question For the past m days, the average daily production at a company was 100 units per day. If today’s production of 180 unit View Question Consider the following functions for non-zero positive integers, p and q.$\rm f(p,q)=\frac{p\times p\times p\times....
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Four cities P, Q, R and S are connected through one-way routes as shown in the figure. The travel time between any two c
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Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, ar
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