WorksheetsGATE Practice Quiz
Total questions: 30
Worksheet time: 30mins
Decreasing grain size in a polycrystalline material
Increases yield strength and corrosion resistance.
Decreases yield strength and corrosion resistance
Decreases yield strength but increases corrosion resistance
Increases yield strength but decreases corrosion resistance.
When the temperature of a solid metal increases,
(a) Strength of the metal decreases but ductility increases
(b) Both strength and ductility of the metal decrease
(c) Both strength and ductility of the metal increase
(d) Strength of the metal increases but ductility decreases
A carbon steel having Brinell Hardness number 100 should ultimate tensile strength closer it
a) 100 N/mm2
(b) 200 N/mm2
(c) 350 N/mm2
(d) 1000 N/mm2
For a Rhombohedral space lattice, which one of the following is correct?
a) α = β = γ = 90
(b) α = β = γ ≠ 90
(c) α =γ = 90
(d) α ≠ β ≠ γ ≠ 90
In Zinc Blende structure, each atom is surrounded by four atoms of the opposite
kind which are located at the comers of which one of the following?
(a) Tetrahedron
(b) Hexahedron
(c) Cube
(d) Orthorhombic
The velocity potential of a velocity field is given by = x2 – y2 +
const. Its stream function will be given by:
(a) – 2xy + constant
(b) + 2xy + constant
(c) – 2xy + f(x)
((d) – 2xy + f(y)
The stream function = x3 – y3 is observed for a two
dimensional flow field. What is the magnitude of the velocity at
point (1, –1)?
(a) 4.24
(b) 2.83
(c) 0
(d) –
2.83
The stream function in a flow field is given by ψ = 2xy. In the
same flow field, what is the velocity at a point (2, 1)? [IES-2008]
(a) 4 unit
(b) 5·4 unit
(c) 1·73 unit
(d) 4·47 unit
Which one of the following statements is true to twodimensional
flow of ideal fluids? [IES-1996]
(a) Potential function exists if stream function exists.
(b) Stream function may or may not exist.
(c) Both potential function and stream function must exist for every flow.
(d) Stream function will exist but potential function may or may not exist
Which one of the following statements is correct? [IAS-2004]
A steady flow of diverging straight stream lines
(a) Is a uniform flow with local acceleration
(b) Has convective normal acceleration
(c) Has convective tangential acceleration
(d) Has both convective normal and tangential accelerations
Let, A =
2 -0.1
0 3
and A–1 =
1/2 a
0 b
Then (a + b) = [EC: GATE-20005
(a) 7/20
(b) 3/20
(c) 19/60
(d) 11/20
The eigen values of a skew-symmetric matrix are [EC: GATE-2010]
(a) Always zero
(b) always pure imaginary
(c) Either zero or pure imaginary
(d) always real
The rank of a 3×3 matrix C (=AB), found by multiplying a non-zero column matrix A
of size 3×1 and a non-zero row matrix B of size 1×3, is [ME: GATE-2001]
(a) 0
(b) 1
(c) 2
(d) 3
A is a 3 x 4 real matrix and A x = b is an inconsistent system of equations. The
highest possible rank of A is [ME: GATE-2005]
(a) 1
(b) 2
(c) 3
(d) 4
Consider the matrices X (4 × 3), Y (4 × 3) and P (2 × 3). The order or P (XTY)–1PT] T will be
[CE: GATE – 2005]
(a) (2 × 2)
(b) (3 × 3)
(c) (4 × 3)
(d) (3 × 4)
A cycle consisting of two reversible isothermal processes and two reversible
isobaric processes is known as [GATE-1996]
(a) Atkinson cycle
(b) Stirling cycle
(c) Brayton cycle
(d) Ericsson cycle
Otto cycle efficiency is higher than Diesel cycle efficiency for the same
compression ratio and heat input because, in Otto cycle [IAS 1994]
(a) Combustion is at constant volume
(b) Expansion and compression are isentropic
(c) Maximum temperature is higher
(d) Heat rejection is lower
A fuel represented by the formula C8H16 is used in an I.E. Engine. Given that
the molecular weight of air is 29 and that 4.76 kmols of air contain 1 kmol of
oxygen and 3.76 kmol of nitrogen, the Air /Fuel ratio by mass is [GATE-2000]
(a) 11.47
(b) 12.78
(c) 14.79
(d) 19.52
The correct sequence of the decreasing order of brake thermal efficiency of
the three given basic type of IC engines is
(a) 4 stroke CI engine, 4 stroke SI engine, 2 stroke SI engine [IES-1995]
(b) 4 stroke SI engine, 4 stroke CI engine, 2 stroke SI engine
(c) 4 stroke CI engine, 2 stroke SI engine, 4 stroke SI engine
(d) 2 stroke SI engine, 4 stroke SI engine, 4 stroke CI engine.
Which of the following pairs of engine and performance/characteristics is/are
correctly matched?
1. Turbojet - Efficiency increases with flight speed
2. SI engine - Lowest specific fuel consumption
3. Turboprop - Suitable for low flight speeds
Select the correct answer using the codes given below:
(a) 1 and 2
(b) 2 and 3
(c) 1 and 3
(d) 2 alone
Assertion (A): Uniaxial stress normally gives rise to triaxial strain.
Reason (R): Magnitude of strains in the perpendicular directions of applied
stress is smaller than that in the direction of applied stress. [IAS-2004]
(a) Both A and R are individually true and R is the correct explanation of A
b) Both A and R are individually true but R is NOT the correct explanation of A
(c) A is true but R is false
(d) A is false but R is true
A thick-walled hollow cylinder having outside and inside radii of 90 mm and 40
mm respectively is subjected to an external pressure of 800 MN/m2. The
maximum circumferential stress in the cylinder will occur at a radius of
[IES-1998]
(a) 40 mm
(b) 60 mm
(c) 65 mm
(d) 90 mm
In a thick cylinder, subjected to internal and external pressures, let r1 and r2 be
the internal and external radii respectively. Let u be the radial displacement of
a material element at radius r, r2 ≥ r ≥ r1 . Identifying the cylinder axis as z axis,
the radial strain component rr ε is: [IES-1996]
(a) u/r
(b) u /θ
(c) du/dr
(d) du/dθ
In a thick cylinder pressurized from inside, the hoop stress is maximum at
[IES-1998]
(a) The centre of the wall thickness
(b) The outer radius
(c) The inner radius
(d) Both the inner and the outer radii
A thick cylinder is subjected to an internal pressure of 60 MPa. If the hoop
stress on the outer surface is 150 MPa, then the hoop stress on the internal
surface is: [GATE-1996; IES-2001]
(a) 105 MPa
(b) 180 MPa
(c) 210 MPa
(d) 135 MPa
Assertion (A): In convergent-divergent nozzle, once sonic conditions
are established at the throat. Any amount of reduction of pressure at
the exit will not be effective in increasing the flow rate. [IAS-1995]
Reason (R): The reduction of upstream pressure caused by the
depletion of the reservoir compensates for the acceleration of flow due
to lowering of back pressure.
(a) Both A and R are individually true and R is the correct explanation of A
(b) Both A and R are individually true but R is not the correct explanation of A
(c) A is true but R is false
(d) A is false but R is true
In a convergent-divergent steam nozzle, the flow is supersonic at which
location? [IAS-2007]
(a) Entrance of the nozzle
(b) Throat
(c) Converging portion of the nozzle
(d) Diverging portion of the nozzle
An isentropic nozzle is discharging steam at the critical pressure ratio.
When the back pressure is further decreased, which one of the
following will take place? [IAS-2007]
(a) Nozzle flow decreases
(b) Nozzle flow increases
(c) Nozzle flow will first increase, reach a maximum and then decrease
(d) Nozzle flow will remain unaltered
How is the best hydraulic channel cross-section defined? [IES-2005]
(a) The section with minimum roughness coefficient.
(b) The section that has a maximum area of a given flow.
(c) The section that has a minimum wetted perimeter
(d) The section that has a maximum wetted area.
A hydraulic jump occurs in a channel [IES-1997]
(a) Whenever the flow is supercritical
(b) If the flow is controlled by a sluice gate
(c) If the bed slope changes from mild to steep
(d) If the bed slope changes from steep to mild
