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Q. 1 – Q. 5 carry one mark each.
Which one of the following options is the closest in meaning to the word given below?
Latitude
Choose the most appropriate word from the options given below to complete the following sentence:
Given the seriousness of the situation that he had to face, his ___ was impressive.
Choose the most appropriate alternative from the options given below to complete the following sentence:
If the tired soldier wanted to lie down, he ___ the mattress out on the balcony.
If (1.001)^{1259} = 3.52 and (1.001)^{2062} = 7.85, then (1.001)^{3321} =
One of the parts (A, B, C, D) in the sentence given below contains an ERROR. Which one of the following is INCORRECT?
I requested that he should be given the driving test today instead of tomorrow.
Q. 6  Q. 10 carry two marks each.
Q. The data given in the following table summarizes the monthly budget of an average household.
The approximate percentage of the monthly budget NOT spent on savings is
There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier bag is
Raju has 14 currency notes in his pocket consisting of only Rs. 20 notes and Rs. 10 notes. The total money value of the notes is Rs. 230. The number of Rs. 10 notes that Raju has is
A and B are friends. They decide to meet between 1 PM and 2 PM on a given day. There is a condition that whoever arrives first will not wait for the other for more than 15 minutes. The probability that they will meet on that day is
One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was brutal. Discipline on the battlefield kept units obedient, intact and fighting, even when the odds and conditions were against them.
Which one of the following statements best sums up the meaning of the above passage?
Useful Data
Universal gas constant R = 8.314 J/mol.K
Planck’s constant h = 6.63*10^{34} J.s
Acceleration due to gravity g = 9.8 m/s^{2}
Q. 11 – Q. 35 carry one mark each.
A is a 2 * 2 matrix with det A = 2. The det (2A) is
A is a 2 * 2 matrix given below:
The eigenvalues of A are
In a production facility, iron rods are made with a mean diameter of 6 cm and standard deviation of 0.02 cm. If a large number of rods are tested, the approximate percentage of rods whose sizes fall in the range of 5.98 cm to 6.02 cm is
Which one of the following methods is NOT used for numerical integration?
How many boundary conditions are required to solve the following equation?
When a zinc metal rod is immersed in dilute hydrochloric acid, it results in
A fluid is flowing with a velocity of 0.5 m/s on a plate moving with a velocity of 0.01 m/s in the same direction. The velocity at the interface of the fluid and plate is
Hot metal at 1700 K is poured in a sand mould that is open at the top. Heat loss from the liquid metal takes place by
Which one of the following is an equilibrium defect?
Floatation beneficiation is based on the principle of
Copper can be reduced from acidic copper sulphate solution by
Which one is NOT an agglomeration process?
During LD blow in steelmaking the impurity that gets removed first is
During the solidification of a pure metal, it was found that dendrites are formed. Assuming that the liquidsolid interface is at the melting temperature, the temperature from the interface into the liquid
A peak in the Xray diffraction pattern is observed at 2θ = 78°, corresponding to {311} planes of an fcc metal, when the incident beam has a wavelength of 0.154 nm. The lattice parameter of the metal is approximately
If d is the interplanar spacing of the planes {h k l}, the interplanar spacing of the planes {nh nk nl}, n being an integer, is
As temperature increases, the electrical resistivities of pure metals (ρ_{m}) and intrinsic semiconductors (ρ_{s}) vary as follows
At equilibrium spacing in a crystalline solid, which of the following is true for net interatomic force (F) and potential energy (U)
The property of a material that CANNOT be significantly changed by heat treatment is
A unit dislocation splits into two partial dislocations. The correct combination of the Burgers vectors of the partial dislocations for a given unit dislocation having Burgers vector
A polymer matrix composite is reinforced with long continuous ceramic fibres aligned in one direction. The Young’s moduli of the matrix and fibres are E_{m} and E_{f} respectively, and the volume fraction of the fibres is f. Assuming isostress condition, Young’s modulus of the composite E_{C} in a direction perpendicular to the length of fibres, is given by the expression
Which of the following is NOT a fusion welding process?
Tungsten filament used in electric bulb is processed by
The riser is designed such that the melt in the riser solidifies
Radiography technique of detecting defects is based on the principle of
Q. 36 to Q. 65 carry two marks each.
At x = 0.5, the polynomial x^{2}(1x)^{2} has
Given that v is a vector field and f is a scalar field, match the equations in Group I with their physical meaning in Group II
The temperature field of a slab is given by T = 400 – 50z exp (–t – x^{2} – y^{2}). The temperature gradient in ydirection is
What does the solution of the following ordinary differential equation represent?
A thin layer of material B (of total amount m) is plated on the end faces of two long rods of material A. These are then joined together on the plated side (see the figure below) and heated to a high temperature. Assuming the diffusion coefficient of B in A is D, the composition profile c_{B} along the rod axis x after a time t is described by
Match the principles given in Group I with corresponding corrosion terminology in Group II
Identify the correct combination of the following statements
P. Hydrogen electrode is a standard used to measure redox potentials
Q. Activation polarization refers to electrochemical processes controlled by reaction sequence at metalsolution interface
R. PotentialpH diagrams can be used to predict corrosion rates of metals
S. Cathodic protection can use sacrificial anodes such as magnesium
Consider a reaction with activation energy of 8.314 kJ/mol that takes place at 300 K. If the reaction rate is to be tripled, the temperature of the reaction should be
Match the processes in Group I with the objectives in Group II
The reduction of FeO with CO gas in cocurrent flow is given by the following equation:
The ratio of p_{CO}/p_{CO2} for this reaction at 1173 K is
The sulphide capacity (C_{S}) of liquid slag of composition 55 wt.% CaO, 20 wt.% SiO_{2}, 15 wt.% Al_{2}O_{3}, and 10 wt.% MgO is given by the following equation
where, X is mole fraction of the respective components. Atomic weights of Ca, Mg, Si, Al and O are 40, 24, 28, 27 and 16 respectively.
The value of C_{S} at 1900 K is
Match the processes given in Group I with the corresponding metals in Group II
Identify the correct combination of the following statements
P. Bessemer converter can be used in copper smelting
Q. The Mond process for nickel involves reaction of metal with H_{2} gas
R. Roasted ZnS concentrates can be smelted in a blast furnace
S. Magnesium metal can be produced by electrolysis of sea water
Match the phases of steel in Group I with the crystal structures in Group II
Arrange the following in terms of increasing severity of quench
P. Oil quenching
Q. Water quenching
R. Water quenching with agitation
S. Brine quenching
Regarding recrystallization, which one of the following statements is NOT correct?
A liquid droplet (β) is on a substrate (δ) and is surrounded by air (α), as shown below. The angle of contact (θ) is determined using the following expression:
Match the phenomena listed in Group I with the possible mechanisms in Group II
Fracture stress for a brittle material having a crack length of 1 μm is 200 MPa. Fracture stress for the same material having a crack length of 4 μm is
The flow stress of an alloy varies with strain rate When the alloy is hot extruded from 10 cm diameter to 5 cm diameter at a speed of 2 cm/s, the flow stress is
Determine the correctness or otherwise of the following Assertion (a) and Reason (r).
Assertion : During rolling, front tension and (or) back tension are (is) employed to decrease rolling load.
Reason : Roll pressure decreases due to lowering of flow stress as a result of front tension/back tension.
Match the defects listed in Group I with the processes listed in Group II
Common Data Questions
Common Data for Questions 58 and 59:
A steel ball (density ρ_{steel} = 7200 kg/m^{3}) is placed in an upward moving liquid Al (density ρ_{Al} = 2360 kg/m^{3},
viscosity μAl = 1*10^{–3} Pa.s and Reynolds number = 5*10^{5}). The force (F) exerted on the steel ball is
expressed as
where, f is friction factor (=0.2), v is the velocity of liquid Al and R is the radius of steel ball.
The force exerted on the steel ball is
A steel ball (density ρ_{steel} = 7200 kg/m^{3}) is placed in an upward moving liquid Al (density ρ_{Al} = 2360 kg/m^{3},
viscosity μAl = 1*10^{–3} Pa.s and Reynolds number = 5*10^{5}). The force (F) exerted on the steel ball is
expressed as
where, f is friction factor (=0.2), v is the velocity of liquid Al and R is the radius of steel ball.
The terminal velocity of a fine spherical steel particle having diameter d_{p}, in μ_{m} range, if allowed to fall in a quiescent liquid Al bath, is
Common Data for Questions 60 and 61:
For the above stress cycle
Stress ratio is
For the above stress cycle
Amplitude ratio is
Linked Answer Questions
Statement for Linked Answer Questions 62 and 63:
A material with grain size of ASTM No. 6 has a lattice frictional stress 100 MN/m^{2} and locking parameter
(HallPetch constant) 0.10 MN/m^{3/2}
Grain size of the material is approximately
A material with grain size of ASTM No. 6 has a lattice frictional stress 100 MN/m^{2} and locking parameter
(HallPetch constant) 0.10 MN/m^{3/2}
Yield strength of the material is approximately
Statement for Linked Answer Questions 64 and 65:
The strain hardening behaviour of an annealed rod during cold rolling is given by
Flow stress after 50% reduction in area of the annealed rod on cold rolling is approximately
The strain hardening behaviour of an annealed rod during cold rolling is given by
If a wire of 5 mm diameter is drawn from the above cold rolled rod of 10 mm diameter, the drawingstress, neglecting the effect of friction and redundant work, is approximately
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