iisc.ernet.in Mechanical Engineering GATE Exam Question Paper : Indian Institute of Science Bangalore

Name of the University : Indian Institute of Science Bangalore
Degree : Engineering
Exam : GATE Exam
Document Type : Model Question Paper
Name of the Subject : Mechanical Engineering

Website : iisc.ernet.in
Download Sample Question Paper Set I :  https://www.pdfquestion.in/uploads/7652-MESET1GATE2015.pdf
Download Sample Question Paper Set II : https://www.pdfquestion.in/uploads/7652-MESET2GATE2015.pdf
Download Sample Question Paper Set III :  https://www.pdfquestion.in/uploads/7652-MESET3GATE2015.pdf

IISC Mechanical Engineering Model Paper

Set I :
Q.1 If any two columns of a determinant P= ??478315962?? are interchanged, which one of the following statements regarding the value of the determinant is CORRECT?
(A) Absolute value remains unchanged but sign will change.
(B) Both absolute value and sign will change.

Related : Indian Institute of Science Bangalore Life Sciences Gate Exam Question Paper Model : www.pdfquestion.in/7650.html

(C) Absolute value will change but sign will not change.
(D) Both absolute value and sign will remain unchanged.
Q.2 Among the four normal distributions with probability density functions as shown below, which one has the lowest variance?
(A) I
(B) II
(C) III
(D) IV

Q.3 Simpson’s 1/3 rule is used to integrate the function x/5=35 x2+ 95 between x = 0 and x = 1 using the least number of equal sub-intervals. The value of the integral is ______________

Q.4 The value of lim01- cos x2 /2×4 is
(A) 0
(B) 12
(C) 14
(D) undefined

Q.5 Given two complex numbers z1 = 5+5 root 3 i and 2/3 i =2i the argument of z1/z2 in degrees is
(A) 0
(B) 30
(C) 60
(D) 90

Q.6 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
(A) 4
(B) 16
(C) 32
(D) 64

Q.7 The Blasius equation related to boundary layer theory is a
(A) third-order linear partial differential equation
(B) third-order nonlinear partial differential equation
(C) second-order nonlinear ordinary differential equation
(D) third-order nonlinear ordinary differential equation

Q.8 For flow of viscous fluid over a flat plate, if the fluid temperature is the same as the plate temperature, the thermal boundary layer is
(A) thinner than the velocity boundary layer
(B) thicker than the velocity boundary layer
(C) of the same thickness as the velocity boundary layer
(D) not formed at all

Q.9 For an ideal gas with constant values of specific heats, for calculation of the specific enthalpy,
(A) it is sufficient to know only the temperature
(B) both temperature and pressure are required to be known
(C) both temperature and volume are required to be known
(D) both temperature and mass are required to be known

Q.10 A Carnot engine (CE-1) works between two temperature reservoirs A and B, where TA = 900 K and TB = 500 K. A second Carnot engine (CE-2) works between temperature reservoirs B and C, where TC = 300 K. In each cycle of CE-1 and CE-2, all the heat rejected by CE-1 to reservoir B is used by CE-2. For one cycle of operation, if the net Q absorbed by CE-1 from reservoir A is 150 MJ, the net heat rejected to reservoir C by CE-2 (in MJ) is ______________

Q.11 Air enters a diesel engine with a density of 1.0 kg/m3. The compression ratio is 21. At steady state, the air intake is 30 × 10-3 kg/s and the net work output is 15 kW. The mean effective pressure (in kPa) is ____________

Q.12 A stream of moist air (mass flow rate = 10.1 kg/s) with humidity ratio of 0.01 kg kg dry air mixes with a second stream of superheated water vapour flowing at 0.1 kg/s. Assuming proper and uniform mixing with no condensation, the humidity ratio of the final stream (in kg kg dry air) is _____________

Q.13 A wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of point P is 10 m/s in the horizontal direction, the magnitude of velocity of point Q (in m/s) is ______

Q.14 Consider a slider crank mechanism with nonzero masses and inertia. A constant torque t is applied on the crank as shown in the figure. Which of the following plots best resembles variation of crank angle, x versus time
Q.15 Consider a stepped shaft subjected to a twisting moment applied at B as shown in the figure. Assume shear modulus, G = 77 GPa. The angle of twist at C (in degrees) is __________

SET – 2

Q.1 At least one eigenvalue of a singular matrix is
(A) positive
(B) zero
(C) negative
(D) imaginary
Q.2 At x = 0, the function ()||fxx= has
(A) a minimum
(B) a maximum
(C) a point of inflexion
(D) neither a maximum nor minimum

Q.5 Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are 0.8, 0.7 and 0.5. Each vendor supplies one component. The probability that out of total three components supplied by the vendors, at least one will meet the design specification is ___________

Q.6 A small ball of mass 1 kg moving with a velocity of 12 m/s undergoes a direct central impact with a stationary ball of mass 2 kg. The impact is perfectly elastic. The speed (in m/s) of 2 kg mass ball after the impact will be ____________
Q.7 A rod is subjected to a uni-axial load within linear elastic limit. When the change in the stress is 200 MPa, the change in the strain is 0.001. If the Poisson’s ratio of the rod is 0.3, the modulus of rigidity (in GPa) is ________________
Q.8 A gas is stored in a cylindrical tank of inner radius 7 m and wall thickness 50 mm. The gage pressure of the gas is 2 MPa. The maximum shear stress (in MPa) in the wall is
(A) 35
(B) 70
(C) 140
(D) 280
Q.11 The uniaxial yield stress of a material is 300 MPa. According to von Mises criterion, the shear yield stress (in MPa) of the material is _______

Q.13 Which of the following statements regarding a Rankine cycle with reheating are TRUE?
(i) increase in average temperature of heat addition
(ii) reduction in thermal efficiency
(iii) drier steam at the turbine exit
(A) only (i) and (ii) are correct
(B) only (ii) and (iii) are correct
(C) only (i) and (iii) are correct
(D) (i), (ii) and (iii) are correct

Q.14 Within a boundary layer for a steady incompressible flow, the Bernoulli equation
(A) holds because the flow is steady
(B) holds because the flow is incompressible
(C) holds because the flow is transitional
(D) does not hold because the flow is frictional

SET-3

Q.1 For the given fluctuating fatigue load, the values of stress amplitude and stress ratio are respectively
(A) 100 MPa and 5
(B) 250 MPa and 5
(C) 100 MPa and 0.20
(D) 250 MPa and 0.20

Q.2 For the same material and the mass, which of the following configurations of flywheel will have maximum mass moment of inertia about the axis of rotation OO’ passing through the center of gravity.
(A) Solid Cylinder
(B) Rimmed wheel
(C) Solid sphere
(D) Solid cube

Q.3 A gear train is made up of five spur gears as shown in the figure. Gear 2 is driver and gear 6 is driven member. N2, N3, N4, N5 and N6 represent number of teeth on gears 2, 3, 4, 5, and 6 respectively. The gear(s) which act(s) as idler(s) is/are
(A) Only 3
(B) Only 4
(C) Only 5
(D) Both 3 and 5

Q.4 In the figure, link 2 rotates with constant angular velocity ?2. A slider link 3 moves outwards with a constant relative velocity VQ/P, where Q is a point on slider 3 and P is a point on link 2. The magnitude and direction of Coriolis component of acceleration is given by

Q.5 The strain hardening exponent n of stainless steel SS 304 with distinct yield and UTS values undergoing plastic deformation is
(A) n < 0
(B) n = 0
(C) 0 < n < 1
(D) n = 1