Exam Details

Subject mechanical engineering
Paper paper 1
Exam / Course
Department
Organization Uttarakhand Public Service Commission
Position assistant engineer
Exam Date 2013
City, State uttarakhand,


Question Paper

1. In High velocity forming, the forming speed is greater than:­

3 m/s

5 m/s

8 m/s

15 m/s

2. Which control chart is used to measure variability of 'Variability with in the sample':­

x chart

c chart

u chart

chart

3. If the demand for an item is doubled and the ordering cost is halved, the economic order quantity for the item will be

A half of the earlier quantity

Double of the earlier quantity

Increased by a factor of

Will remain unchanged

4. An industry produces 300 spark plugs in one shift of 8 hours. If standard time per piece is 1.5 minute, the productivity would

3/4

5/8

7/16

15/16

5. If is the number of constraints in a linear programming problem with two variables and and non-negativity constraints x y>0 The feasible region in the graphical solution will be surrounded

m lines

m+1 lines

m+2 lines

m+4 lines

6. Effect of stock out of a commodity

Loss of profit

Loss of customers

Loss of goodwill

All of the above

7. The annual demand for an item is 3200 parts. Unit cost is Rs. 6 and the inventory carrying charges are estimated as 25% per annum. If the cost of one procurement is Rs. 150, what will be the number of orders per year?









8. In queuing theory, the ratio of mean arrival rate and the mean service rate is termed

Work factor

Utilization factor

Slack constant

Production rate

9. If in graphical solution of linear programming problem, the objective function line is parallel to the line representing constraint equation, then the solution of problem

Infeasible solution

Unbound solution

Multiple optimum solution

None of the above

10. Low helix angle drills are used for drilling holes

Plastics

Copper

Cast steel

Carbon steel

11. In a queuing problem, if the arrivals are completely random then the probability distribution of number of arrivals in a given time follows:­

Normal distribution

Poisson distribution

Binomial distribution

Exponential distribution

12. In ABC analysis of inventories, items usually constitute:­

10

20

30

70

13. Increase in economic order quantity results

Increase in inventory carrying cost

Decrease in ordering cost

Decrease in total cost

Total cost first decreases and then increases

14. In ABC analysis items are classified in three categories namely and C in accordance with their:­

Values

Number

Characteristics

Priorities

15. Control limits of a X chart are:­



X ± 2alpha

X ± 3alpha

X ± 6alpha

16. Following is not a method of solving a transportation problem:­

Northwest corner method

Least cost method

Vogel's approximation method

Dynamic method

17. If work station times are not same, the overall production rate of an assembly line is determined by the

Fastest station time

Slowest station time

Average of all station times

Average of slowest and fastest station times

18. Which one of the following is not the control chart for attributes:­

p chart

c chart

R chart

x chart

19. At break even point:­

Sales revenue total cost

Sales revenue total cost

Sales revenue total cost

None of the above

20. In operating characteristics curve, abscissa represents:­

Number of defectives

Percentage defectives

Sample number

Probability of acceptance

21. For a vibrating system with viscous damping, the characteristics equation is given
M c x kx 0
If the roots of the characteristics equation are real and equal, the system

Over damped

Critically damped

Underdamped

Cannot be predicted

22. For isotropic materials, shear and elastic moduli are related to each other and to Poisson's ratio according

E G

E 2G

E G

E

23. A body is having a simple harmonic motion. Product of its frequency and time period is equal

Zero

One

Infinity

0.5

24. The shear stress at the centre of a circular shaft under torsion

Maximum

Minimum

Zero

Unpredictable

25. The resultant deflection of a beam under unsymmetrical bending

Parallel to the neutral axis

Perpendicular to the neutral axis

Parallel to the axis of symmetry

Perpendicular to the axis of symmetry

26. Euler's formula holds good for:­

Short columns only

Long columns only

Both long and short columns

Weak columns

27. In a beam when shear force changes sign, the bending moment will

Zero

Maximum

Minimum

Infinity

28. The point of contraflexure occurs

Cantilever beams

Simply supported beams

Overhanging beams

Fixed beams

29. In thick cylinder, the radial stresses in the wall thickness:­

is zero

negligible small

varies from the inner face to outer face

None of the above

30. A solid circular shaft is subjected to a maximum shear stress of 140MPa. Magnitude of maximum normal stress developed in the shaft

60 MPa

90 MPa

110 MPa

140 MPa

31. A hollow shaft has external and internal diameters of 10cm and 5cm respectively. Torsional section modulus of shaft

375 cm3

275 cm3

184 cm3

84 cm3

32. Two cars and move at 15m/s in the same direction. Car is 300m ahead of car If car accelerate at 6m/s2 while car continues to move with the same velocity, car will overtake car after:­

7.5 s

10 s

12 s

15 s

33. Two balls are dropped from a common point after an interval of 1 second. If acceleration due to gravity is 10m/s2, separation distance 3 second after the release of the first ball will

5m

15m

25m

30m

34. A ball of 2kg drops vertically onto the floor with a velocity of 20m/s. It rebounds with an initial velocity of 10m/s, impulse acting on the ball during contact will

20

40

60

30

35. Kinetic energy of a solid cylinder of mass radius and angular velocity 2 . 2 2 . 2

mr2 w2

mr2 w2

mr2 w2

mr2 2

36. Impulse

Minimum momentum

Maximum momentum

Average momentum

Final momentum Initial momentum

37. A cable with uniformly distributed load per horizontal metre run will take the following shape:­

Straight line

Parabola

Ellipse

Hyperbola

38. Mohr's circle may be used to determine following stress on an inclined plane:­

Normal stress

Principal stress

Tangential stress

All of the above

39. State of plane stress at a point is described by

and xy

The normal stress on a plane inclined at 45° to the horizontal



(b)route 2 alpha

route 3 alpha

alpha

40. If load at the free end of the cantilever beam is gradually increased, failure will occur

In the middle of beam

At the fixed end

Anywhere on the span

None of the above

41. Kinematic pair constituted by cam and follower mechanism

Higher and open type

Lower and open type

Lower and closed type

Higher and closed type

42. If the diameter of a long column is reduced by 20 percent, the reduction in Euler buckling load in percentage is nearly:­





49

59

43. Ultrasonic machining is best suited for:­

Amorphous material

Brittle material

Non ferrous material

All of the above

44. A column of length is fixed at both the ends. The equivalent length of the column

2l

0.5 l

4 l

l

45. The Coriolis component of acceleration acts:­

Along the sliding surface

Perpendicular to the sliding surface

At 45° to the sliding surface

None of the above

46. A slider on a link rotating with angular velocity have linear velocity The magnitude of Coriolis component of acceleration



2



vw/2

47. Coriolis component of acceleration exists whenever a point moves along a path that has:­

Tangential acceleration

Centripetal acceleration

Linear motion

Rotational motion

48. When the applied force is less than the limiting frictional force, the body will:­

Start moving

Remain at rest

Slide backward

Skid

49. Critical speed of a shaft depends

Diameter of disc

Length of shaft

Eccentricity

All of the above

50. Which of the following equilibrium equation should be satisfied by the joints in truss:­

<img src='./qimages/3399-50.jpg'>

51. When the number of members in a truss is more than where is the number of joints, the frame is said to

Perfect truss

Imperfect truss

Deficient truss

Redundant truss

52. Turning a key into the lock is a case

Coplaner forces

Non-coplaner forces

Couple

Moment

53. When a wire is stretched to double its original length, the longitudinal strain produced in it

0.5

1.0

1.5

2.0

54. The electrolyte used in ECM process

Transformer oil

White spirit

Aqueous solution of common salt

None of the above

55. According to law of transmissibility of forces, effect of force acting on the body

Different at different points of the body

Minimum when it acts at centre of gravity of the body

Maximum when it acts at centre of gravity of the body

Same at every point in its line of action

56. Maximum shear stress in a Mohr's circle

Equal to the radius of Mohr's circle

Greater than the radius of Mohr's circle

route 2 times the radius of Mohr's circle

Could be any of the above

57. The ratio of the compressive critical load for a long column fixed at both the ends and a column with one end fixed and the other end being free

2 1

4 1

8 1

16 1

58. Elongation of bar under its own weight as compared to that when the bar is subjected to a direct axial load equal to its own weight will

The same

One fourth

A half

Double

59. A simply supported beam of length has uniformly distributed load kilogram acting per unit length. Bending moment at mid span l2 l2

wl2/8

wl2/4

wl2/2

None of the above

60. Uniformly distributed load act over per unit length of a cantilever beam of 3m length. If the shear force at the midpoint of beam is 6kN, what is the value of

2 kN/m

3 kN/m

4 kN/m

5 kN/m

61. Elastic constants G and K are related by the expression:- GK 2GK

E GK/2K+G

E G2K/2K+G

E 3GK/K+2G

E 9GK/3K G

62. A material has elastic modulus of 120 GPa and shear modulus of 50 GPa. Poisson's ratio for the material

0.1

0.2

0.3

0.33

63. A simply supported beam of length carries a point load at the midspan. Deflection in beam at the centre will Wl3Wl3

<img src='./qimages/3399-63.jpg'>

64. An object falls from the top of a tower. If comes down half the height in 2 seconds. Time taken by the object to reach the ground

2.8 s

3.2 s

4.0 s

4.5 s

65. A body moving with a velocity of 1 m/s has kinetic energy of 1.5 Joules. Mass of the body

0.75 kg

1.5 kg

3.0 kg

30 kg

66. A particle is projected at such an angle with the horizontal that the maximum height attained by the particle is one-fourth of the horizontal range. The angle of projection should

30°

45°

60°

75°

67. A bullet of 0.03 kg mass moving with a speed of 400 m/s penetrates 12cm into a block of wood. Force exerted by the wood block on the bullet

10 kN

20 kN

25 kN

30 kN

68. A block resting on an inclined plane begins to slide down the plane when the angle of inclination is gradually increased to 30°. The coefficient of friction between the block and the plane

0.50

0.578

0.72

0.866

69. The shearing area of a key of length breadth and depth is equal

b x d

l x d

l x b

l x d/2

70. The gear train usually employed in clocks is

Reverted gear train

Simple gear train

Sun and planet gear

differential gear

71. Universal joint is an example

Lower pair

Higher pair

Rolling pair

Sliding pair

72. The outer circle of spur gear is called

Pitch circle

Addendum circle

Dedendum circle

Base circle

73. Axes of a pair of spur gears are 200 mm apart. The gear ratio is 3:1 and number of teeth on pinion is 20. The module of the gear

4 mm

5 mm

8 mm

10 mm

74. In a flat belt drive, slip between the driver and belt is and that between belt and follower is 3%. If the pulley diameters are same, the velocity ratio of the drive

0.99

0.98

0.97

0.96

75. In case of a flywheel, maximum fluctuation in energy

Sum of maximum and minimum energies

Difference of maximum and minimum energies

Ratio of maximum and minimum energies

Ratio of minimum and maximum energies

76. Which pair of gears usually has higher frictional losses

Spur gears

Helical gears

Bevel gears

Worm and worm wheel

77. Average tensions on the tight side and slack side of a flat belt drive are 700 N and 400 N respectively. If linear velocity of the belt is the power transmitted will

1.5 kW

2.5 kW

2.8 kW

3.0 kW

78. Which one of the following in-line engine working on a four stroke cycle is completely balanced inherently?

2 cylinder engine

3 cylinder engine

4 cylinder engine

6 cylinder engine

79. If Hartnell governor uses a spring of greater stiffness, it will become:­

Less sensitive

More sensitive

Remain unaffected

Isochronous

80. A disc clutch has n1 discs on driving shaft and n2 discs on driven shaft. Number of pairs of contact surfaces will

n1+ n2

n+1

n1+ n2-1

n1- n2

81. A spring controlled governor is found unstable. It may be made stable

Increasing spring stiffness

Decreasing spring stiffness

Increasing ball weight

Decreasing ball weight

82. Centre distance between two involute teeth gears of base radii R and r and pressure angle f is expressed

Sin

Cos





83. An engine running at 150 r.p.m. drives a shaft with belt arrangement. If diameter of engine pulley is 55 cm and shaft pulley 33 cm, find the speed of shaft:­

100 r.p.m.

150 r.p.m.

200 r.p.m.

250 r.p.m.

84. In EDM process the tool and workpiece are separated

Electrolyte

A metal conductor

Dielectric fluid

None of the above

85. The equivalent bending moment under combined action of bending moment and torque is

<img src='./qimages/3399-85.jpg'>

86. Lewis equation in gears is used to find the:­

Bending stress

Tensile stress

Centrifugal stress

Fatigue stress

87. A spring mass system shown in Figure is actuated by a load P 0.75 sin2t. If mass of the N block is 0.25 kg and stiffness of the spring is 4 N/M displacement of the block will

<img src='./qimages/3399-87.jpg'>

0.25

0.5

1.0

2.25

88. Dimensional formula ML2T represents:­

Work

Force

Momentum

Power

89. A framed structure is said to be perfect if the following correlation is met between the number of joints and the number of the members

m 2j-3

m 3j-3

m 2j-1

m j-2 .

90. If ratio of excitation and natural frequency of vibration the transmissibility of .n vibration will be

0.5

1.0

1.5

2.0

91. Which one of the following is the preferred mode of transmission of power from one shaft to another when distance between the shafts is relatively small:­

Gears

Belts

Ropes

Chains

92. If there is a gradual reduction in amplitude of vibration with time, the body is said to be

Free vibration

Forced vibration

Damped vibration

Un damped vibration

93. Porter governor is

Pendulum type governor

Dead weight type governor

Spring loaded governor

Inertia type governor

94. Sensitivity of an isochronous governor

Zero

One

Two

Infinity

95. Velocity of the belt for maximum power transmission by the belt and pulley arrangement

<img src='./qimages/3399-95.jpg'>

96. Which type of gears are used in connecting two coplaner and intersecting shafts?

Spur gear

Bevel gear

Helical gear

Worm and worm wheel

97. Which one of the following does not require a flywheel?

Steam engine

Engine driven press

CI engine

Gas turbine

98. If µ is the actual coefficient of friction in a belt moving in grooved pulley and groove angle is 2 . The virtual coefficient of friction will

<img src='./qimages/3399-98.jpg'>

99. Magnification factor for a single degree of freedom vibration is expressed

<img src='./qimages/3399-99.jpg'>

100. Primary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given

<img src='./qimages/3399-100.jpg'>

101. The mathematical technique for finding the best use of limited resources in an optimum manner is called:­

Linear programming

Network analysis

Queueing theory

None of the above

102. For a speed reduction of 50 which gear arrangement will be used?

Spur gears

Bevel gears

Worm and worm wheel

Herringbone gears

103. For a 20° full depth involute gear teeth system, minimum number of teeth on a pinion

12

14

16

18

104. In a spring mass system if one spring of same stiffness is added in series, new frequency of vibration will

<img src='./qimages/3399-104.jpg'>

105. During the dwell period of the cam, the follower:­

Remains at rest

Moves in a straight line

Moves with uniform speed

Does simple harmonic motion

106. Which one of the following correctively expresses the sensitivity of a governor? N 12

N1+N2/2N1N2







107. Which one of the following is electrically most conductive?

Copper

Silver

Aluminium

Gold

108. A relatively large plate of glass is subjected to a tensile stress of 40 MPa. If specific surface energy and Elastic modulus for glass are 0.3 J/m2 and 69 GPa, respectively, the maximum length of a surface crack that is possible without fracture

4.1 µ m

8.2 m

41 m

82 m

109. In the graphical method of linear programming problem the optimum solution would lie in the feasible polygon

Its one corner

Its center

The middle of any side

None of the above

110. Coordination number for FCC crystal structure









111. Atomic packing factor for unit cell of HCP crystal structure

0.68

0.52

0.74

0.82

112. Relationship between atomic radius and unit cell length for BCC crystal structure 4R

<img src='./qimages/3399-112.jpg'>

113. Which statement is not true in case of martensite?

Crystal structure is BCC

Transformation does not involve diffusion

Grains are plate like or needle like in appearance

It is a non-equilibrium phase

114. Which of the following statements is not true for diamond?

It is hardest known material

Diamond is non-metallic

It has high thermal conductivity

It has a very high electrical conductivity

115. Which one of the following has the highest value of specific stiffness?

Steel

Aluminium

Fibre glass

Carbon fibre composite

116. If a material expands freely due to heating, it will develop:­

Thermal stresses

Tensile stresses

Compressive stresses

No stresses

117. Crystal lattice structure for mild steel

Single cubic

BCC

FCC

HCP

118. In tensile test of mild steel, necking will start:­

At lower yield stress

At upper yield stress

At ultimate tensile stress

Just before fracture

119. Which medium is used for fastest cooling during quenching of steel?

Air

Oil

Water

Brine (salt water)

120. Compressive test performed on cast iron will have fracture occurring:­

Along an oblique plane

Along the axis of load

Perpendicular to the axis of load

None of the above

121. Eutectoid steel consists

Fully pearlite

Fully Austenite

Ferrite Pearlite

Cementite Pearlite

122. Maximum principal strain theory of failure gives satisfactory result for:­

Brittle materials only

Brittle as well as ductile materials

Ductile materials only

None of the above

123. Property of absorbing large amount of energy before fracture is known

Ductility

Toughness

Elasticity

Hardness

124. Which one of the following is weaker than hydrogen bonds?

Ionic bond

Vander Waals bond

Covalent bond

Metallic bond

125. Increase in ferrite phase in steel leads to increase

Strength

Hardness

Ductility

Brittleness

126. Austenite decomposes into ferrite and cementite at a temperature

727 °C

1148 °C

1495 °C

1539 °C

127. Slow plastic deformation in metals under a static load over a period of time

Fatigue

Endurance

Creep

Dislocation

128. Which of the following statements is not true for austenitic stainless steels?

They are hardened and strengthened by cold working

They are most corrosion resistant amongst stainless steels

Austenitic phase is extended to room temperature

They are magnetic in nature

129. The crystal structure of alpha iron

Body centered cubic

Face centered cubic

Hexagonal closed pack

Simple cubic

130. 18/8 stainless steel contains:­

18% vanadium, chromium

18% chromium, nickel

18% tungsten, nickel

18% tungsten, chromium

131. Important property requirements for tool materials employed for high speed machining are:­

Impact strength, melting point and hardness

Hot hardness, wear resistance and toughness

Melting point, toughness and shear strength

Shear strength, wear resistance and impact strength

132. Carbon content is highest in

Mild steel

Eutectoid steels

Hypoeutectoid steels

Hypereutectoid steels

133. Principal stress at a point in a plane stressed element are: s 500 N/m2 Normal stress on the plane inclined at 45° to x-axis will

0

500 N/m2

707 N/m2

1000 N/m2

134. If there are bad effects on strain hardening on a cold formed parts, the part must

Annealed

Tampered

Hardened

Normalised

135. Cold working is the process of deforming a metal plastically:­

At recrystallization temperature

Below recrystallization temperature

Above recrystallization temperature

At annealing temperature

136. Which one of the following materials is most elastic?

Rubber

Steel

Aluminium

Glass

137. The temperature at which new stress free grains are formed in the metal is called:­

Critical temperature

Eutectic temperature

Recrystallization temperature

Yield temperature

138. Toughness of steel is increased by adding:­

Nickel

Sulphur

Chromium

Tungsten

139. In rolling process, the state of stress of the material undergoing deformation

Pure compression

Pure shear

Compression and shear

Tension and shear

140. Which one of the following is a point imperfection?

Vacancy

Frenkel defect

Schottky defect

All of the above

141. Which one of the following is closest to the purest form of iron?

Cast iron

Wrought iron

Grey cast iron

Mild steel

142. Addition of magnesium to cast iron increases its:­

Hardness

Corrosion resistance

Creep resistance

Ductility

143. Which one of the following cannot be recycled?

Thermoplastics

Thermosets

Elastomers

Polymers

144. The most suitable manufacturing process for machining a turbine blade made of nimonic alloy

Milling and lapping

Electric discharge machining

Ultrasonic machining

Electro-chemical machining

145. Strain in direction at right angle to the direction of applied force is known

Lateral strain

Shear strain

Volumetric strain

None of the above

146. If the diameter of the hole is subjected to considerable variation, for locating in jigs and fixtures, the pressure type locator used

Conical locator

Diamond pin locator

Vee-locator

Cylindrical locator

147. Inter electrode gap in electro-chemical grinding is controlled by controlling the:­

Pressure of electrolyte flow

Applied static load

Size of abrasives in the wheel

Texture of the workpiece

148. Pneumatic comparators work on following theory:­

Newton's theory

Bernouli's theory

Pascal's theory

Legendre's theory

149. In machining processes, the percentage of heat generated in shear action is carried away by the chips to the extent

10

25

50

90

150. For a two dimensional stress system, the coordinates of the centre of Mohr circles are?

<img src='./qimages/3399-150.jpg'>

151. Which of the following is not a limitation for ECM process:­

Very expensive

Sharp corners are difficult to produce

Surface finish is not good

Use of corrosive media as electrolyte makes it difficult to handle

152. The rate of work material removal in USM operation is proportional to the:­

Volume of work material removed per impact

Number of particles making impact per cycle

Frequency of vibration

All of the above

153. Which of the following is not the assumption in Merchant's theory

Tool is perfectly sharp

Shear is occurring on a plane

Uncut chip thickness is constant

A continuous chip with built up edge is produced

154. Which technique is utilized to find percent idle time for man or machine?

Work sampling

Time study

Method study

ABC analysis

155. In Electro-chemical machining material removal is due

Corrosion

Erosion

Fusion

Ion displacement

156. In simplex method of linear programming the objective row of the matrix consists

Names of the variables

Coefficient of the objective function

Slack variables

None of the above

157. Which one of the following type of layout is used for the manufacturing of large air crafts?

Product layout

Process layout

Fixed position layout

Combination layout

158. Which of the following operations does not use a jig?

Turning

Drilling

Reaming

Tapping

159. The quality of machined surface depends

The material of the work piece

Rigidity of machine work-tool system

Cutting conditions

All of the above

160. The tool life of a cutting tool mainly depends

Cutting speed

Tool geometry

Ambient temperature

None of the above

161. Use of jigs and fixtures leads

High operational cost

High maintenance cost

High Initial cost

High manufacturing cost

162. For the two shafts connected in parallel, which of the following in each shaft is same?

Torque

Shear stress

Angle of twist

Torsional stiffness

163. Lee and Shaffer equation showing relationship between rake angle shear angle and friction angle is expressed









164. Metal in electro-chemical machining process is removed

Migration of ions towards the tool

Ionization and shearing

Chemical action and abrasion

Chemical etching

165. In an orthogonal cutting operation, the chip thickness and the uncut thickness are equal 0.45mm each. If the tool rake angle is the shear plane angle is

18°

30°

45°

60°

166. In a single point turning operation Taylor's exponent is 0.25. If the cutting speed is halved then the tool life will become:­

Half

Two times

Eight times

Sixteen times

167. Standardization deals with the characteristics of product that include:­

Its dimensions

Method of testing the product

Composition and properties of its material

All of the above

168. The critical speed of a shaft is affected by its:­

1. Eccentricity

2. Span

3. Diameter Which of the above are correct?

1 and 2

1 and 3

2 and 3

2 and 3

169. Whirling speed of a shaft coincides with the natural frequency of its:­

Longitudinal vibration

Transverse vibration

Torsional vibration

Coupled bending torsional vibration

170. Experts of same rank assemble for product development

Delphi technique

Brain storming

Direct expert comparison

Morphological analysis

171. A production line is said to be balanced, if at each station:­

There is equal number of machine

There is equal number of operators

Waiting time for service is same

Operation time is same

172. When ordering cost is increased to 16 times, the EOQ will be increased

2 times

4 times

8 times

None of the above

173. Manufacturer's risk is the probability

Rejecting a good lot which otherwise would have been accepted

Defective batch being accepted which otherwise would have been rejected

Bad components in a lot

None of the above

174. Term "Value" in value engineering refers to

Total cost of the product

Selling price of the product

Utility of the product

Manufacturing cost of the product

175. Which one of the following shows the percentage of the area in normal distribution curve for ± 2 limits?

99.73

95.45

68.26

None of the above

176. In sampling, AQL stands for:­

Average quality level

Acceptable quality level

Asymmetric quality level

Available quality level

177. There are rows and columns in a transportation problem. Degeneracy will occur if the number of allocations

Less than n

Greater than n

Equal to n

Less than n

178. C-chart is based on one of the following:­

Number of defects per unit of a product

Fraction defectives in the sample

Number of defectives in the sample

None of the above

179. TQM is related

Quality control

Sampling

Control chart

Work study

180. The point of contraflexure occurs

Cantiliver beams

Overhanging beams

Simply supported beams

Fixed beams


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