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## GATE ME 2017 Set 2

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

The determinant of a $$2 \times 2$$ matrix is $$50.$$ If one eigenvalue of the m...
Consider the matrix $$A = \left[ {\matrix{ {50} &amp; {70} \cr {70} &amp... The surface integral$$\int {\int\limits_s {F.ndS} } $$over the surface$$S$$... Two coins are tossed simultaneously. The probability (upto two decimal points ac... A simple of$$15$$data is as follows;$$17,18,17,17,13,18,5,5,6,7,8,9,20,17,3.$... Consider the differential equation $$\,\,3y''\left( x \right) + 27y\left( x \rig... If$$f\left( z \right) = \left( {{x^2} + a{y^2}} \right) + ibxy$$is a complex a... The rod PQ of length L = 2 m, and uniformly distributed mass of M = 10 kg, is re... For the stability of a floating body the The arrangement shown in the figure measures the velocity$$V$$of a gas of dens... A$$60mm-$$diameter water jet strikes a plate containing a hole of$$... Consider a laminar flow at zero over a flat plate . The shear stress at the wall... The heat loss from a fin is $$6W.$$ The effectiveness of the fin are $$3$$ and$...
A metal ball of diameter $$60mm$$ is initially at $${220^ \circ }C.$$ The ball i...
The emissive power of a blackbody is $$P.$$ If its absolute temperature is doubl...
In a counter-flow heat exchanger, water is heated at the rate of $$1.5kg/s$$ fro...
The standard deviation of linear dimensions $$P$$ and $$Q$$ are $$3\mu m$$ and $... A project starts with activity $$A$$ and ends with activity $$F.$$ The precedenc... For a single server with Poisson arrival and exponential service time, the arriv... Maximize $$\,\,\,\,\,\,\,\,\,Z = 5{x_1} + 3{x_2}$$ <br>Subject to $$\,\,\,\,\,\... A product made in two factories$$P$$and$$Q,$$is transported to two destinati... The principal stresses at a point in a critical section of a machine component a... A machine component made of a ductile material is subjected to a variable loadin... A steel plate, connected to a fixed channel using three identical bolts$$A, B$$... A single – plate clutch has a friction disc with inner and outer radii of$$20mm... It is desired to make a product having T-shaped cross - section from a rectangul... A strip of $$120mm$$ width and $$8mm$$ thickness is rolled between two $$300$$$...
A rod of length $$20$$ $$mm$$ is stretched to make a rod of length $$40$$ $$mm.... During the turning of a$$20mm-$$diameter steel bar at a spindle speed of ... In an orthogonal machining with a tool of$${9^ \circ }$$orthogonal rake angle,... A cylindrical pin$$25_{ + 0.010}^{ + 0.020}\,\,mm$$diameter is electroplated.... A steel bar is held by two fixed supports as shown in the figure and is subjecte... The state of stress at a point is$${\sigma _x} = {\sigma _y} = {\sigma _z} = {\...
For a loaded cantilever beam of uniform cross-section, the bending moment (in N-...
A helical compression spring made of wire of circular cross-section is subjected...
A cantilever beam of length $$L$$ and flexural modulus $$EI$$ is subjected to a ...
In a slider-crank mechanism, the lengths of the crank and the connecting rod are...
Block 2 slides outward on link 1 at a uniform velocity of 6m/s as shown in the f...
A gear train shown in the figure consists of gears P, Q, R and S. Gear Q and gea...
A mass $$m$$ is attached to two identical springs having spring constant $$k$$ a...
The radius of gyration of a compound pendulum about the point of suspension is \$...
The volume and temperature of air (assumed to be an ideal gas) in a closed vesse...
A calorically perfect gas (specific heat at constant pressure $$1000$$$$J/kg.K$$...
A mass $$m$$ of a perfect gas at pressure $${p_1}$$ and volume $${V_1}$$ undergo...
One $$kg$$ of an ideal gas (gas constant $$R=287$$ $$J/kg$$-$$K$$) undergoes an ...
In the Rankine cycle for a system power plant the turbine entry and exit enthalp...
Which one of the following statement is TRUE?

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