Indirect rapid prototyping of antibacterial acid anhydride copolymer microneedles

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Q. No. 1 – 25 Carry One Mark Each

1. The proper substitution for the differential equation 2 2dyy y cos x

dx to make it

as a linear differential equation is

(A) 2y t (B) 1y t (C) 3y t (D) None of these

2. The function f(x,y)=x4+y4+4xy-2y2 at 2, 2 has

(A) Maximum value -8 (B) Minimum value -8

(C) Maximum value 8 (D) Minimum value 8

3. The normal vector to the surface 2x,y x y yz at 1, 1, 1 is

(A) i - k (B) i + j + k (C) 2i +2j+k (D) 2i-2j+2k

4. Under the conditions that f(a) & f(b) have opposite signs (i.e f(a) f(b) < 0) and

a<b, the first approximation to the root of the equation f(x) = 0 by Regula falsi method is

(A) 1

af(b) bf(b)x

f(a) f(b)

(B)

1

af(b) bf(a)x

f(b) f(a)

(C) 1

af(a) bf(b)x

f(a) f(b)

(D)

1

af(b) bf(a)x

f(b) f(a)

5. For a simple moving average forecasting method as the length of averaging

period increases, the forecast sensitivity

(A) Increases (B) Decreases

(C) Remains constant (D) cannot be predicted

6. The ladder is resting against a wall and a floor as shown in the figure. If the

ladder is in equilibrium without application of any external force, which of the

following conditions is must?

(A) Both wall and floor must offer frictional resistance.

(B) Wall must offer frictional resistance.

(C) Floor must offer frictional resistance.

(D) It may remain in equilibrium without any frictional resistance.

Wall Ladder

Floor




7. A triangular cantilever beam has base b and height h . A force P acts as

transverse shear load at its end. The ratio of maximum shear stress to shear

stress at neutral fiber is

(A) 3

2 (B)

4

3 (C)

9

8 (D)

7

5

8. Deflection at the end of cantilever beam with slope is

(A) 3 2ML ML

,3EI 2EI

(B) 3 2ML ML

,8EI 2EI

(C) 2 3ML ML

,2EI 3EI

(D) 2 3ML ML

,2EI 8EI

9. Consider a pulley and a slider is fitted on it such that it can comfortably move

around the pulley in its guide path. The instantaneous centre of slider with respect to pulley is at __________.

(A) At all points on the periphery of pulley

(B) At point that is diametrically opposite

(C) At the centre

(D) Infinity in space

10. Consider a slender cantilever beam with negligible mass. When a force of 8N is

applied at the end, the deflection of 10mm is found. Calculate the natural frequency when a body weighing 25N is placed on the end of beam in rad/s

(A) 17.71 (B) 25.23 (C) 31.29 (D) 19.32

11. Ratio of number of molecules of fluorine in refrigerants R-12 and R-14 is (A) 6: 7 (B) 3: 5 (C) 1 : 2 (D) 1 : 1

12. On increasing the water content in a greensand mould, its permeability

(A) Increases

(B) Increases, reaches maximum and then decreases

(C) Decreases

(D) is independent of moisture content

13. Increasing the amount of graphitization in grey cast iron results

(A) Decreasing the shrinkage (B) Increasing the shrinkage

(C) Has no effect on shrinkage (D) None of these

14. For axial flow through a circular tube, the Reynolds number for transition to

turbulence is 2300 based on diameter and average velocity. If kerosene is

flowing at 20oC and the diameter of the circular tube is 5cm, then find the volume flow rate which causes transition.

3Properties of kerosene at 20 C: 804kg/m , 0.00192 kg/m s

(A) 30.98m hr (B) 30.78m hr (C) 31.8m hr (D) 32.88m hr

M N/m

L




15. Mercury at 20oC flows through 4m long and 7mm diameter glass tube at an average velocity of 5 m s then estimate the pressure drop.

3Mercury Properties at 20 C: 13550 kg m , 0.00156 kg m s,f 0.0143.

(A) 1.38 KPa (B) 2.38 KPa (C) 2380KPa (D) 1382 KPa

16. The profile of a gear tooth can be checked by using

(A) Sine bar (B) optical pyrometer

(C) bench micrometer (D) optical projector

17. The XY table of a drilling machine is to be moved from the point (2, 2) to the

point (7, 6). Each axis can move at a speed of 1mm/s. The travel time (in seconds) is

(A) 2 (B) 4 (C) 5 (D) 6.4

18. A cylinder head has 6 bolts (studs) made of steel y

300 MPa ,an internal

pressure of 1MPa acts inside the cylinder of 200 mm diameter. Assuming 10 % overload, the required core area of bolt in mm2 is____

19. A circular shaft is subjected to combined bending and twisting moment.BM is 300

kNm & TM is 200 kNm. On the basis of maximum Principal Stress Theory, if

permissible stress is 100MPa then the diameter of the shaft will be ________cm.

20. The maximum number of binary links in a 6-bar mechanism with 1DOF as per Grubler’s criterion is _____.

21. If absolute difference of saturated vapour is 80 bar and that of water vapour is

60 bar, 60% relative humidity (w.r.t total pressure), then the degree of

saturation is ___________.

22. A hollow stainless steel spherical container having 20cm inside diameter and 30cm outer diameter ( with k 50W/mk ) holds certain liquid. If its inner and

outer surfaces are at 250 C and 100 C , then the radial heat flow in KW is

__________.

23. If ratio of latent heat to sensible heat changes from 1

to33

then the ratio of

sensible heat factors is _________. (A) 9 (B) 6 (C) 5 (D) 3

24. An iron-carbon binary alloy has 1.2%C by weight. Then this alloy is

(A) Eutectoid alloy (B) Eutectic alloy

(C) Hypoeutectic alloy (D) Hypereutectoid alloy

25. The Mohr’s hardness is based on a scale from

(A) 0 - 10 (B) 1 - 10 (C) 1 - 20 (D) 1 - 100




Q. No. 26 – 51 Carry Two Marks Each

26. A flange coupling is used to transmit torque of 10 N-m. Flanges are bolted using

4 bolts at a radius of 25 mm. If the allowable shear stress is 25 MPa, then the

bolt to be chosen is

(A) M20 (B) M16 (C) M12 (D) M3

27. A circular disk of diameter 44mm having moment of inertia 71 kg.m2 is acted by

moment and forces as shown in the figure. Find its angular acceleration.

(A) 6.64x10-2 rad/sec2 (B) 8.29x10-3 rad/sec2

(C) 4.27x10-3 rad/sec2 (D) 7.08x10-3 rad/sec2

28. A beam has length 5m, width 20cm and depth 40cm. By taking young’s modulus

210GPa, the strain energy stored in the beam is _______.

(A) 467.9 Nm (B) 475.2 Nm (C) 481.3 Nm (D) 486.7 Nm

29. From the application, find and match, by fixing what link in a slider-crank

mechanism, the given mechanism can be obtained.

P- Pendulum pump 1-Turning pair

Q- Oscillating cylinder engine 2-Connecting rod

R-Crank and slotted lever 3-Cylinder

(A) P-2, Q-1, R-3 (B) P-2, Q-1, R-1

(C) P-3, Q-1, R-2 (D) P-3, Q-2, R-1

30. A 4 Ton refrigeration unit when operated for 5 hours removes heat equivalent to

how many electricity consumption units? (1 unit of electricity 1kWh)

(A) 30 units (B) 50 units (C) 70 units (D) 100 units

X

Y

12N

o60

13N23N

20 18

0.2Nm

30kN/m

50kNm




31. On “EARTH” Oxygen and Nitrogen are in mass ratio of 23:77, whereas on a

Planet name “HTRAE” it is observed that this ratio is exactly reverse. If partial

pressure of water vapour is exactly half of total pressure, what is the ratio of

specific humidity on “HTRAE” and “EARTH”?

(A) 0.54 (B) 0.93 (C) 0.33 (D) 0.99

32. A shaper is used to machine a workpiece with 300 mm length and 50 mm width.

The tool travels along the longer side and over-travel allowance at each end is 25

mm. The cutting speed is 10m/min, feed rate is 0.5mm/stroke. If total cutting time is found to be 315 seconds, then the ratio reaction time to cutting time is

(A) 1:3 (B) 2:3 (C) 1:2 (D) 3:4

33. In the figure, water flows from A to B where the diameters A and B is 30.78cm

and 60.96cm 3at the rate of 13.2m s. If pressure head at A is 22.1 m and

considering no loss of energy from A to B, the pressure head of B in meter is ______.

(A) 2051m (B) 1571 m (C) 1070 m (D) 2500 m

34. A plate of 10 mm thick and 50 mm wide is joined with another plate by a single

transverse weld and a double parallel fillet. If the maximum tensile and shear

stresses are 70 MPa and 50 MPa, then the length of each parallel fillet weld in

mm is ____.

35. A hollow steel shaft transmits 300 kW at 100 rpm. The ratio of inner diameter to

outer diameter is 0.7 and outer diameter is 15 cm. The minimum shear stress in

the shaft will be ________MPa

36. If a refrigeration cycle has a ratio of compressor inlet enthalpy to expansion valve

outlet enthalpy as 4 and ratio of compressor outlet enthalpy to condenser exit

(outlet) enthalpy as 6 then the COP of the system is __________.

37. The aluminum square fins 0.5mm 0.5mm of 1cm length provided on the

surface of an electronic semiconductor device is to carry 346 10 W of energy

generated by an electronic device and the temperature at the surface of device

should not exceed 60 C. The temperature of surrounding medium is 20 C. By

taking k 190W/mK, 2h 125W/m K , then the number of fins required to carry

out the heat transfer neglecting heat loss from the end of the fins is _______.

38. Taylor’s tool file equation for a carbide tool is VT0.3=200, on doubling the cutting speed, percentage decrease observed in tool life is________.

A

B

Az 10 m Bz 25 m




39. 5 holes of 20 mm diameter are to be drilled simultaneously on a steel plate of

40 mm thickness. The drill rotates at 300 rpm and feed rate is 0.3 mm/rev. The

rate of material removal from the steel plate is (in mm3/sec)

(A) 471 (B) 2356 (C) 1414 (D) 2827

40. In an orthogonal machining operation:

Uncut chip thickness=1mm width of cut =10mm

Cutting speed = 15m/min Chip thickness =1.5 mm

Rake angle = 10o Cutting force=1000 N

Thrust force = 300 N

The percentage of total energy needed to overcome friction at tool-chip interface

is

(A) 18.32% (B) 27.6% (C) 31.27% (D) 42.3%

41. If F(s) is the Laplace transform of f(t), the Laplace transform of 3

3

df t

dt is

(A) 3s F s (B) 3 2s F s s f 0

(C) 3 2s F s s f 0 sf ' 0 (D) 3 2s F s s f 0 sf ' 0 f '' 0

42. If the eigen values of a matrix are (-2, 3, 6) and the corresponding eigen vectors

are

1 1 1

0 , 1 & 2

1 1 1

then the spectral matrix is

(A)

1 1 1

0 1 2

1 1 1

(B)

4 0 0

0 9 0

0 0 36

(C)

1 1 1

2 3 6

1 20

3 6

1 1 1

2 3 6

(D)

2 0 0

0 3 0

0 0 6

43. A random variable has the pdf

2f x 3x ; 0 x 1

0; else where

. 1

Then P x ___2

(A) 0.875 (B) 0.6 (C) 0.5 (D) 0.125

44. The residue of

z

2

ef z

z 1

at its singularity is

(A) e (B) 1e (C) 1e (D) 0




45. Three operators (P, Q, R) are assigned to 3 machines (M1, M2, M3), while operator

Q cannot be assigned machine M2. Further, each operator is assigned to one

machine and one machine requires only one operator. The operating cost is given

for these operators in table below (in Rs).

The minimum cost of assignment is _________. (in Rs)

M1 M2 M3

P 10 20 30

Q 15 - 40

R 25 45 60

46. An optical flat is placed upon a flat metal surface so that a thin wedge film of air

is entrapped between them as shown in figure. Monochromatic light of wavelength 60 m is used. The number of straight fringes observed is_______.

47. A hollow sphere is made up of two materials, first one with 1k 70W/mK with

ID=10cm and OD=30cm. The second sphere has 2k 15W/mK and with

OD=40cm. If the inside and outside temperatures are 300 C and 30 C then the

rate of heat flow through the sphere is ________kW.

Common Data Questions: 48 & 49

ECM operation of an iron surface that is 25 mm ×25mm in cross section using Nacl+H2o as electrolyte is performed under the following conditions:

Equilibrium gap between electrodes = 2mm

Supply voltage =15V

Total over-voltage=3V

Electrolyte specific resistance = 3 cm

Faraday’s constant=96540 coulombs

For Iron

Atomic weight =55.85; Valency=2; Density=7.860 g/cm3

48. The material removal rate during the process (in g/s) is ___________.

o1

20 mm




ECM operation of an iron surface that is 25 mm ×25mm in cross section using

Nacl+H2o as electrolyte is performed under the following conditions:

Equilibrium gap between electrodes = 2mm

Supply voltage =15V

Total over-voltage=3V

Electrolyte specific resistance = 3 cm

Faraday’s constant=96540 coulombs

For Iron

Atomic weight =55.85; Valency=2; Density=7.860 g/cm3

49. Under steady state conditions feed given to the tool is (in mm/min) ______.

Common Data Questions: 50 & 51

A cantilever beam of 65mm length has a cam at the free end which introduces a

minimum & maximum deflection of 3mm and 8mm.Cross section is 8mm×1mm.

50. The maximum bending stress in the beam is _______MPa.

A cantilever beam of 65mm length has a cam at the free end which introduces a

minimum & maximum deflection of 3mm and 8mm.Cross section is 8mm×1mm.

51. The alternating stress experienced by beam is ______MPa.

Linked Answer Questions: Q.52 to Q.55 Carry Two Marks Each

Statement for Linked Answer Questions: 52 & 53

Consider the beam shown below.

2E 200GPa, b 1000cmd

52. The maximum bending moment will act at what distance from left support?

(A) 2m (B) 3m (C) 4m (D) 5m

60kN

2m 2m 2m

90kNmb

d

25kN/m




Consider the beam shown below.

53. The magnitude of maximum shear stress at a cross section which lies 1m left of

the cross-section carrying maximum bending moment is

(A) 0.525MPa (B) 0.75MPa (C) 1MPa (D) 1.25MPa

Statement for Linked Answer Questions: 54 & 55

Ethanol at 320 C flows at 0.00789 m s through a horizontal cast-iron pipe with

length 12m and diameter 5cm. Neglecting the entrance effects, for ethanol take 3789 kg m and 0.012 kg m s and f 0.0314.

54. Estimate wall shear stress.

(A) 25 Pa (B) 50 Pa (C) 75 Pa (D) 100 Pa

Ethanol at 320 C flows at 0.00789 m s through a horizontal cost-iron pipe with

length 12m and diameter 5cm. Neglecting the entrance effects, for ethanol take 3789 kg m and 0.012 kg m s and f 0.0314.

55. Estimate pressure gradient.

(A) 4000 Pa m (B) 8000 Pa m (C) 12000 Pa m (D) 16000 Pa m

Q. No. 56 – 60 Carry One Mark Each

56 Before she knew what had happened a man suddenly fell on her ....... across and

stealing her handbag.

(A) lurking (B) lurching (C) limping (D) lunging

57 Construction of the Roman Colosseum, which was officially known as the Flavian

Amphitheater, began in A.D.69, during the reign of Vespasian, was completed a

decade later, during the reign of Titus, who opened the Colosseum with a one-

hundred-day cycle of religious pageants, gladiatorial games, and spectacles.

(A) Which was officially known as the Flavian Amphitheater, began in A.D. 69,

during the reign of Vespasian,

(B) Officially known as the Flavian Amphitheater, begun in A.D. 69, during the

reign of Vespasian, and

(C) Which was officially known as the Flavian Amphitheater, began in A.D. 69,

during the reign of Vespasian, and

(D) Officially known as the Flavian Amphitheater and begun in A.D. 69, during the

reign of Vespasian it

60kN

2m 2m 2m

90kNmb

d

25kN/m




58 Sedative: Drowsiness

(A) epidemic: contagiousness (B) vaccine: virus

(C) anesthetic: numbness (D) therapy: psychosis

59 Choose opposite word for “Veneration”:

(A) Derision (B) Avoidance (C) Ostracism (D) Defiance

60 A certain amount becomes 5 times in 3 years at compound interest. In how

many years will it be 3125 times of the amount?

(A) 9 (B) 12 (C) 15 (D) 25

Q. No. 61 – 65 Carry Two Marks Each

61. If the sum of n terms of a series in AP is 2n 3n , find the 6th term of this series ?

(A) 12 (B) 16 (C) 10 (D) 14

62 Consider a set of numbers X 1, 2, 3, 4, 5, 6, 7, 8 . Take every distinct two

element subsets of ‘X’ and write down the number that is greater. For eg. if you

take the subset of 3,7 , you will write down 7. What is the sum of all numbers

that you write down ?

(A) 160 (B) 84 (C) 168 (D) 188

63. After striking the floor, the rubber ball rebounds to 3

5th of the height from which

it has fallen. Find the total distance that it travels before coming to rest. If it

has been gently dropped from a height of 180 meters ?

(A) 200m (B) 600m (C) 720m (D) 800m

64. Production of sugar (in thousand tons) by three sugar mills over the year

Which of the statement is true ?

i. Ratio between the production of B in 2011 to C in 2012 is 3 :11

ii. Average production of A in four years is 20

iii. Percentage increase in C in 2011 from the previous year is 100%

(A) i & ii only (B) ii & iii only

(C) i & iii only (D) i, ii & iii

0

10

20

30

40

50

60

20112009 2010 2012

A

B

C




65 In years past, professional baseball players lifted weights less but were also

injured less often during games. Obviously, the more an athlete lifts weights, the

higher the likelihood of injury.

The conclusion above presupposes which of the following?

(A) The increase in baseball injuries is due to a factor other than weightlifting.

(B) The activities of baseball players represent those of athletes as a group.

(C) Most baseball injuries today result from too much weight-lifting.

(D) There is no proven correlation between how much athletes lift weights and

how likely they are to be affected by injury.

Indirect rapid prototyping of antibacterial acid anhydride copolymer microneedles

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