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GATE 2023 ME: GATE Semi-Syllabus Quiz -1

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Question 1

A child blows air through a nozzle to form bubbles. If the bubbles are to have a diameter of 5mm. Calculate the surface tension between air and soap. The pressure contained by the bubble is 150 N/m2.

Question 2

A flow field which has only convective acceleration is

Question 3

A steel specimen 150 mm2  in cross section and 50 mm gauge length subjected to an axial load of 15 KN. What is the strain energy stored in the specimen?
(take E = 100 GPa)

Question 4

A flat steel plate is of trapezoidal form. The thickness of the plate is 15 mm and it tapers uniformly from a width of 60 mm to a width of 10 mm in a length of 300 mm. The elongation of the plate under an axial force of 120 kN is ______ mm.
[Take E = 2.04 × 105 N/mm2]

Question 5

A large diesel engine runs on a 4 stroke cycle at 2000 rpm. The engine has a displacement of 25 litre and a brake mean effective pressure of 0.6 MN/m2. It consumes 0.018 Kg/s of fuel (calorific value = 42000 kJ/Kg).
Determine the brake power.

Question 6

In an air standard cycle, indicated power is 80 KW and mechanical efficiency is 85%. Then the frictional power will be

Question 7

Air at 15°C DBT, 60% of relative humidity is heated to 45°C using an electric heater. The surface temp. of the coil is 55°C. Then what will be contact factor of heating coil.

Question 8

A cylindrical body of 30 cm diameter, 170 cm long having a uniform temperature of 75 °C and thermal conductivity k is 6.08 W/m-K is placed in a surrounding of 20 °C with a heat transfer coefficient to of 8 W/m2-K. The Biot number is ____________.

Question 9

The fouling factor in heat exchanger is defined as

Question 10

An oil flows through a pipe at a velocity of 1.0 m/s. The pipe is 45 m long and has 150 mm diameter. What is the head loss due to friction, if and

Question 11

For Laminar flow of an oil having dynamic viscosity μ = 1.67 Pa.s in a 0.2m diameter pipe, the velocity distribution is parabolic with a maximum point velocity of 2.5 m/s at the center of the pipe. Calculate the shearing stresses within the fluid 40mm from the pipe wall_____.

Question 12

Consider fully developed flow in a circular pipe with negligible entrance length effects. Assuming the mass flow rate, density and friction factor to be constant, if the length of the pipe is doubled and the diameter is halved, the head loss due to friction will increase by a factor of __________.

Question 13

A stream function is given by ψ = (). The Velocity potential function (φ) of the flow will be________?

Question 14

A vertical rectangular wall with a width of 20 m and a height of 12 m is holding a 7 m deep water body. Determine the total pressure force on the wall(in kN)______.

Question 15

A steel rod 10 m long is at temperature of 20 and is heated to 60. What is the stress induced if the allowable expansion in the rod is 4mm. Young’s Modulus of steel is 200 GPa and coefficient of linear expansion is 12×10-6/.

Question 16

For the overhanging beam shown in figure, the magnitude or maximum bending moment (in kN-m) is________

Question 17

For a simply supported beam of length ‘l’ subjected to downward load of uniform intensity w, match List-I with List –II and selected the correct answer using the codes given below the lists:
A- Slope of shear force diagram
B- Maximum shear force
C- Maximum deflection
D- Magnitude of maximum bending moment
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2- W
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Question 18

For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is _________.

Question 19

Certain mass of a gas enters a compressor at 15 kPa, 35°C (h = 330 kJ/kg) and exits at 1MPa, 75°C (h = 2950 kJ/kg).During this compression, 30 kJ/kg of heat is lost to the surroundings. If mass flow rate of the gas is 5 kg/sec,the power (in kW) consumed by the compressor is _____.(Neglect the changes in potential and kinetic energies).

Question 20

A piston cylinder device contains 1 kg of fluid at 40 atm and initial volume  0.04 m3. The fluid is allowed to expand reversibly following the process pv1.45=constant ,so that volume becomes double. The fluid is then cooled at constant pressure until the piston comes back to original position. Keeping this piston unaltered,the heat is added reversibly to restore it to the initial pressure.The total work done (in kJ) in the cycle is ____.

Question 21

Three kg of oxygen gas is heated from 15oC to 90oC. , the change in enthalpy( in KJ) is

Question 22

Consider two identical blocks of copper, each having a mass of 200 kg and specific heat of 0.3831 kJ/kg-k.One block is available at 600 K and other at 1200 K.Two blocks are brought into thermal contact with each other and allowed to reach a state of thermal equilibrium.Loss of available energy if the ambient temperature is 270C___________________kJ.

Question 23

Calculate the efficiency of engine for an engine working on air-standard Otto cycle has a clearance volume, 10% of swept volume.

Question 24

A material P of thickness 1 mm is sandwiched between two steel slabs, as shown in the figure below. A heat flux 10 kw/m2 is supplied to one of the steel slabs as shown. The boundary temperatures of the slabs are indicated in the figure. Assume the thermal conductivity of this steel is 10 W/mK. Considering one-dimensional steady state heat conduction for the configuration, the thermal conductivity (k, in W/m.K) of material P is ____________.

Question 25

Match list-I (Surface with orientations) with List-II (Equivalent emissivity) and select the correct answer using the codes given below the lists :
A- Infinite parallel planes
B- Body 1 completely enclosed by body 2 but body 1 is very small
C- Radiation exchange between two small gray bodies.
D- Two concentric cylinders with large lengths.
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