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GATE ME 2022 : Full-Syllabus Quiz

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Question 1

A single degree of freedom system has a mass of 3Kg , stiffness 10 N/m and viscous damping ratio 0.the dynamic magnification factor at an excitation frequency of 1.9 rad/sec_____

Question 2

For the cantilever beam as shown, the deflection at free end is given by _______.

Question 3

Question 4

In the following question choose the word opposite in meaning to the given word.
EMACIATED

Question 5

Consider a special curve in three-dimensional space given in parametric form by

.
The length of the curve is ________

Question 6

For a canteen, the actual demand for disposable cups was 500 units in January and 600 units in February. The forecast for the month of January was 400 units. The forecast for the month of March considering smoothing coefficient as 0.75 is _________

Question 7

In an Otto cycle, the compression ratio increase from 8 to 10. The efficiency will increase by ____ %.(Take γ=1.4)

Question 8

Verb of Alternation

Question 9

a fillet weld is loaded parallel to its length

by a load P. If the weld leg is h, the average shear stress on the throat area is

Question 10

For a fluid with Prandti number Pr>1, momentum boundary layer thickness

Question 11

A fin has 5mm diameter and 100mm length. The thermal conductivity of fin material is 400Wm⁻¹K⁻¹. One end of the fin is maintained at 130 ºC and its remaining surface is exposed to ambient air at 30 ºC. if the convective heat transfer coefficient is 40Wm^-2K^-1, the heat loss (in W) from the fin is

Question 12

In a steam power plant operating on an ideal Rankine cycle, superheated steam enters the turbine at 3 MPa and 350℃. The condenser pressure is 75 kPa. The thermal efficiency of the cycle is ________ percent.

Given data:

For saturated liquid, at P = 75 kPa, h_f = 384.39 kJ/kg, v_f = 0.001037 m3/kg, s_f = 1.213 kJ/kg‐K

At 75 kPa, h_fg = 2278.6 kJ/kg, s_fg = 6.2434 kJ/kg‐K

At P = 3 MPa and T = 350℃[Superheated steam], h = 3115.3kJ/kg, s = 6.7428 kJ/kg‐K

Question 13

For

the particular integral is ____________.

Question 14

A petrol engine is supplied with fuel which has a calorific value of 45000kJkg. The pressure in the cylinder at 30% and 70% of the compression stroke are 1.5bar and 2.8bar. Assuming that compression follows the law p

= constant, find the compression ratio.

Question 15

Using Gauss- Seidel method , starting form [0,0,0] x₁+ x₂ – x₃ = 1, x₁+ 4x₂ + x₃ =15, 3x₁+ 2x₂+ 3x₃= 20 Find (2x₃+ x₂ – x₁) after two iterations approximately.

Question 16

The inertia force acting on the piston for the following slider crank mechanism will be :

Question 17

A bar 12mm diameter gets stretched by 3mm under a steady load of 8000N. What stress would be produced in the same bar by a weight of 800N, which falls vertically through a distance of 8cm on to a rigid collar attached at its end? The bar is initially unstressed. Take, E=2×10⁵ N/ mm².

Question 18

A pipe of diameter 300 mm and length 3500 m is used for transmission of power by water. The total head at the inlet of pipe is 500 m. The maximum power (in kW) available at outlet of pipe is _______ .(friction coefficient is 0.006 and density of water is 1000 kg/m³)

Question 19

The following data applies to basic shaft system:

tolerance for hole = 0.002 mm,

tolerance for shaft = 0.001 mm,

allowance = 0.003 mm,

basic size = 50 mm.

The maximum hole size is ____ mm (round off to 3 decimal places).

Question 20

A 15m long ladder is inclined at 60 degrees to the horizontal. The ladder rests on a vertical smooth wall and the horizontal surface has friction. What is the minimum coefficient of friction so that the ladder does not slide, provided weight of ladder = 100N.

Question 21

A set of job are to be processed on a single machine, Obtain a sequence using Earlier Due Date (EDD) rule and also determine the Avg. No. of jobs in the system.

Question 22

Ambient air at 35°C, 75% relative humidity and at standard atmospheric pressure, the amount of moisture in kg/kg of dry air will be

At 35°C, saturation pressure is 0.05628 bar.

Question 23

A Pelton turbine is to operate under a net head of 500 m at 400 rpm. If a single jet with a diameter of 18 cm is used, find the specific speed of the machine.

Take C_v = 0.98, and overall efficiency η₀ = 0.85.

Question 24

A solid aluminum shaft, 5 cm diameter and 1 m long, is to be replaced by a tubular steel shaft of the same length and the same outside diameter (i.e. 5 cm), such that each of the two shaft could have the same angle of twist per unit torsional moment over the total length. Modulus of rigidity of steel is three times that of aluminium. The inner diameter of the tubular shaft is

Question 25

Determine the Young’s modulus (in GN/m²) of a composite containing 65 volume % of glass fibre (E_f = 70 GN/m²) in a matrix of epoxy resin (E_m= 3 GN/m²) under isostrain condition.

Question 26

A crank-rocker mechanism has a 70-mm fixed link, a 20- mm crank, a 50-mm coupler, and a 70-mm rocker. Ratio the maximum and minimum values of the transmission angle.

Question 27

Velocity vector of a flow field is given a $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ME-2010_files\image070.png$ The vorticity vector at (1,1,1) is

Question 28

In a turning operation, the tool life of the carbide tool was found to be 20 min and 100 min, at cutting speeds of 120 m/min and 80 m/min respectively. The tool life of tool under same condition but at a cutting speed of 100 m/min will be _____ min.
T₁ = 20 min V₁ = 120 m/min
T₂ = 100 min V₂ = 80 m/min

Question 29

At a filling station, the filling time has exponential distribution with mean 20 minutes. The service discipline is FIFO. If arrival pattern is Poisson with an average rate of 15 for 8 hours day, then the service person’s expected idle time (in hours) for each day will be

Question 30

Two streams of fluids of unit constant specific heat and unit mass flow rate exchange thermal energy in a heat exchanger. The inlet temperature of hot and coldfluid streams are 300 ⁰C and 30 ⁰C respectively. The effectiveness of the heat exchanger if the outlet temperature of both the fluid are equal

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