GATE Mechanical engg online test paper 4
by Esha Upadhyay · Published · Updated
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Question 1 of 21
1. Question
For a fully developed flow of water in a pipe having diameter 10 cm, velocity 0.1 m/s and kinematic viscosity 10−5 (10 to power 5) m2/s, the value of Darcy friction factor is
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Question 2 of 21
2. Question
In a simple concentric shaftbearing arrangement, the lubricant flows in the 2 mm gap between the shaft and the bearing. The flow may be assumed to be a plane Couette flow with zero pressure gradient. The diameter of the shaft is 100 mm and its tangential speed is 10 m/s. The dynamic viscosity of the lubricant is 0.1 kg/m.s. The frictional resisting force (in newton) per 100 mm length of the bearing is
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Question 3 of 21
3. Question
In an airstandard Otto cycle, air is supplied at 0.1 MPa and 308 K. The ratio of the specific heats (γ) and the specific gas constant (R) of air are 1.4 and 288.8 J/kg.K, respectively. If the compression ratio is 8 and the maximum temperature in the cycle is 2660 K, the heat (in kJ/kg) supplied to the
engine isCorrect
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Question 4 of 21
4. Question
A reversible heat engine receives 2 kJ of heat from a reservoir at 1000 K and a certain amount of heat from a reservoir at 800 K. It rejects 1 kJ of heat to a reservoir at 400 K. The net work output (in kJ) of the cycle is
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Question 5 of 21
5. Question
Jobs arrive at a facility at an average rate of 5 in an 8 hour shift. The arrival of the jobs follows Poisson distribution. The average service time of a job on the facility is 40 minutes. The service time follows exponential distribution. Idle time (in hours) at the facility per shift will be
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Question 6 of 21
6. Question
A metal rod of initial length L0 is subjected to a drawing process. The length of the rod at any instant is given by the expression, L(t) = Lo(1+t*t) , where t is the time in minutes. The true strain rate (in per min) at the end of one minute is
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Question 7 of 21
7. Question
During pure orthogonal turning operation of a hollow cylindrical pipe, it is found that the thickness of the chip produced is 0.5 mm. The feed given to the zero degree rake angle tool is 0.2 mm/rev. The shear strain produced during the operation is
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Question 8 of 21
8. Question
For the given assembly: 25 H7/g8, match Group A with Group B
Group A Group B
P. H I. Shaft Type
Q. IT8 II. Hole Type
R. IT7 III. Hole Tolerance Grade
S. g IV. Shaft Tolerance GradeCorrect
Incorrect

Question 9 of 21
9. Question
If the Taylor’s tool life exponent n is 0.2, and the tool changing time is 1.5 min, then the tool life (in min) for maximum production rate is
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Question 10 of 21
10. Question
An aluminium alloy (density 2600 kg/m3) casting is to be produced. A cylindrical hole of 100 mm diameter and 100 mm length is made in the casting using sand core (density 1600 kg/m3). The net buoyancy force (in newton) acting on the core is (m3 is meter cube)
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Question 11 of 21
11. Question
Consider a Poisson distribution for the tossing of a biased coin. The mean for this distribution is a.The standard deviation for this distribution is given by
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Question 12 of 21
12. Question
Solve the equation x = 10 cos(x) using the NewtonRaphson method. The initial guess is x = pi/4 . The value of the predicted root after the first iteration, up to second decimal, is (pi is constant 3.14)
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Question 13 of 21
13. Question
A cantilever beam having square crosssection of side a is subjected to an end load. If a is increased by 19%, the tip deflection decreases approximately by
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Question 14 of 21
14. Question
A car is moving on a curved horizontal road of radius 100 m with a speed of 20 m/s. The rotating masses of the engine have an angular speed of 100 rad/s in clockwise direction when viewed from the front of the car. The combined moment of inertia of the rotating masses is 10 kgm2. The magnitude of the gyroscopic moment (in Nm) is
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Question 15 of 21
15. Question
A single degree of freedom spring mass system with viscous damping has a spring constant of 10 kN/m. The system is excited by a sinusoidal force of amplitude 100 N. If the damping factor (ratio) is 0.25, the amplitude of steady state oscillation at resonance is ________mm.
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Question 16 of 21
16. Question
The spring constant of a helical compression spring DOES NOT depend on
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Question 17 of 21
17. Question
For a floating body, buoyant force acts at the
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Question 18 of 21
18. Question
A plastic sleeve of outer radius r0 = 1 mm covers a wire (radius r = 0.5 mm) carrying electric current. Thermal conductivity of the plastic is 0.15 W/mK. The heat transfer coefficient on the outer surface of the sleeve exposed to air is 25 W/m2K. Due to the addition of the plastic cover, the heat transfer from the wire to the ambient will
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Question 19 of 21
19. Question
Which of the following statements are TRUE with respect to heat and work?
(i) They are boundary phenomena
(ii) They are exact differentials
(iii) They are path functionsCorrect
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Question 20 of 21
20. Question
Propane (C3H8) is burned in an oxygen atmosphere with 10% deficit oxygen with respect to the stoichiometric requirement. Assuming no hydrocarbons in the products, the volume percentage of CO in the products is
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Question 21 of 21
21. Question
Consider two hydraulic turbines having identical specific speed and effective head at the inlet. If the speed ratio (N1/N2) of the two turbines is 2, then the respective power ratio (P1/P2) is
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