One Stop GATE Forum: 2000- year ME GATE Paper

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1.  The three characteristic roots of the following matrix A 

      1 2 3
A= 0 2 3
      0 0 2

   (a)  1, 2, 3  (b)  1, 2, 2  (c)  1, 0, 0    (d) 0, 2, 3 

2.  Availability of a system at any given state is 
 (a)  a property of the system 
 (b)  the maximum work obtainable as the system goes to dead  state 
 (c)  the total energy of the system 
 (d)  the maximum useful work obtainable as the system goes to dead state 

 3.  A  steam  turbine  receives  steam  steadily  at  10  bars  with  an  enthalpy  of  3000 
kJ/kg and discharges at 1 bar with an enthalpy of 2700 kJ/kg. The work output is 
250 kJ/kg. The changes in kinetic and potential energies  are negligible. The heat 
transfer from the turbine casing to the surroundings is equal to 
  (a)  0 kJ  (b)  50 kJ  (c)  150 kJ  (d) 250 kJ 

4.  In a vapour compression refrigeration system, liquid to suction heat exchanger is used to 
  (a)  keep the COP constant   
 (b)  prevent the liquid refrigerant from entering the compressor   
(c)  subcool the liquid refrigerant leaving the condensor   
 (d)  subcool the vapour refrigerant from the evaporator 

5.  A  steel steam  pipe  10  cm  inner  diameter  and 11  cm  outer  diameter  is  covered 
with  an  insulation  having  a  thermal  conductivity  of  1  W/mK.   If  the  convective 
heat transfer coefficient between the surface of insulation and the surrounding air 
is 8 W/m2 K, the critical radius of insulation is 
  (a)  10 cm  (b)  11 cm  (c)  12.5 cm  (d) 15 cm 

6.  Which of the following is a pressure compounded turbine? 
 (a)  Parsons  (b)  Curtis  (c)  Rateau  (d) all the three 

7.  When the speed of a centrifugal pump is doubled, the power required to drive the pump will 
  (a)  increase 8 times      (b)  increase 4 times   
 (c)  double      (d)  remain the same 

8.  Global warming is caused by 
 (a)  ozone      (b)  carbon dioxide   
 (c)  nitrogen      (d)  carbon monoxide 

9.   Navier Strokes equation represents the conservation of 
 (a)  energy      (b)  mass 
 (c)  pressure      (d)  momentum 

10.  In  a  bi-axial  stress  problem,  the  stresses  in  x  and  y  directions  are 200 
s = and  100  .
s =  the maximum principal stress in MPa, is 
y MPa
x MPa
  (a)  50  (b)  100  (c)  150  (d) 200 

11.  The  ratio of tension on the tight side to that on the slack side in a flat belt drive 
is:   
  (a)  proportional to the product of coefficient of friction and lap angle   
 (b)  an exponential function of the product of coefficient of friction and lap angle 
 (c)  proportional to the lap angle   
 (d)  proportional to the coefficient of friction 

12.  The  natural frequency  of  an  undamped vibrating system is  100 rad/s.  A  damper with  a  damping  factor  of  0.8  is  introduced  into  the  system.  The  frequency  of vibration of the damped system, in rad/s, is  
  (a)  60  (b)  75  (c)  80  (d) 100 

13.  A steel shaft ”A‘ of diameter ”d‘ and length ”l‘ is subjected to a torque ”T‘. Anohter shaft  ”B‘  made  of  aluminium  of  the  same  diameter  ”d‘  and  length  0.5  l  is  alsos subjected  to  the  same  torque  ”T‘.  The  shear  modulus  of  steel  is  2.5  times  the shear modulus of aluminium. The shear stress in the steel shaft is 100  MPa. The shear stress in the aluminium shaft, in MPa, is 
  (a)  40  (b)  50  (c)  100  (d) 250 

14.  A  1.5  kW  motor  is  running  at  1440  rev/min.  It  is  to  be  connected  to  a  stirrer running at 36 rev/min. The gearing arrangement suitable for this application is 
  (a)  differential gear      (b)  helical gear   
 (c)  spur gear      (d)  worm gear 

15.  A steel wheel of 600 mm diameter rolls on a horizontal steel rail. It carries a load 
of  500  N.  The  coefficient  of  rolling  resistance  is  0.3  mm.  The  force  in  N, 
necessary to roll the wheel along the rail is 
  (a)  0.5  (b)  5  (c)  15  (d) 150 

16.  Abrasive material used in grinding wheel selected for grinding ferrous alloys is: 
 (a)  silicon carbide      (b)  diamond   
 (c)  aluminium oxide      (d)  boron carbide 

17.  Cast steel crankshaft surface is hardened by 
 (a)  nitriding      (b)  normalizing 
 (c)  carburising       (d)  induction heating 

18.  Disposable patterns are made of 
 (a)  wood  (b)  rubber  (c)  metal  (d) polystyrene 

 19.  Deep hole  drilling  of small diameter, say 0.2 mm is  done with EDM by  selecting 
the tool material as   
  (a)  copper wire      (b)  tungsten wire 
 (c)  brass wire      (d)  tungsten carbide 

20.  In computer aided drafting practice, an arc is defined by 
 (a)  two end points only    (b)  center and radius   
 (c)  radius and one end point  (d)  two end points and centre 

21.  In  a time study exercise, the time  observed  for  an  activity  was 54  seconds.  The 
operator  had a  performance  rating of 120. A  personal time allowance  of  10%  is 
given. The standard time for the activity, in seconds, is 
  (a)  54  (b)  60.8  (c)  72  (d) 58.32 

22.  Cellular manufacturing is suitable for 
 (a)  a single product in large volumes       
 (b)  one-off production of several varieties 
 (c)  products with similar features made in batches       
 (d)  large variety of products in large volumes. 

23.  In  a  manufacturing  plant,  the  probability  of making a  defective  bolt  is  0.1.  The 
mean  and  standard  deviation  of  defective  bolts  in  a  total  of  900  bolts  are 
respectively  
  (a)  90 and 9  (b)  9 and 90  (c)  81 and 9  (d) 9 and 81 

24.  In  Fig.2.5  if  the  pressure  of  gas  in  bulb  A  is  50  cm  Hg  vacuum  and 76 cm Hg,p = the height of column H is equal to 
atm A 
  (a)  26 cm   
 (b)  50 cm   
 (c)  76 cm   
 (d)  126 cm 

25.  When atmospheric air is heated at constant pressure, its 
 (a)  humidity ratio does not change 
 (b)  relative humidity increases 
 (c)  dew point temperature does not change 
 (d)  wet bulb temperature increases 

Author	Message
Smitha Newbie Joined: 08Feb2007 Online Status: Offline Posts: 14	Topic: 2000- year ME GATE Paper Posted: 14Feb2007 at 2:20pm
	1. The three characteristic roots of the following matrix A 1 2 3 A= 0 2 3 0 0 2 (a) 1, 2, 3 (b) 1, 2, 2 (c) 1, 0, 0 (d) 0, 2, 3 2. Availability of a system at any given state is (a) a property of the system (b) the maximum work obtainable as the system goes to dead state (c) the total energy of the system (d) the maximum useful work obtainable as the system goes to dead state 3. A steam turbine receives steam steadily at 10 bars with an enthalpy of 3000 kJ/kg and discharges at 1 bar with an enthalpy of 2700 kJ/kg. The work output is 250 kJ/kg. The changes in kinetic and potential energies are negligible. The heat transfer from the turbine casing to the surroundings is equal to (a) 0 kJ (b) 50 kJ (c) 150 kJ (d) 250 kJ 4. In a vapour compression refrigeration system, liquid to suction heat exchanger is used to (a) keep the COP constant (b) prevent the liquid refrigerant from entering the compressor (c) subcool the liquid refrigerant leaving the condensor (d) subcool the vapour refrigerant from the evaporator 5. A steel steam pipe 10 cm inner diameter and 11 cm outer diameter is covered with an insulation having a thermal conductivity of 1 W/mK. If the convective heat transfer coefficient between the surface of insulation and the surrounding air is 8 W/m2 K, the critical radius of insulation is (a) 10 cm (b) 11 cm (c) 12.5 cm (d) 15 cm 6. Which of the following is a pressure compounded turbine? (a) Parsons (b) Curtis (c) Rateau (d) all the three 7. When the speed of a centrifugal pump is doubled, the power required to drive the pump will (a) increase 8 times (b) increase 4 times (c) double (d) remain the same 8. Global warming is caused by (a) ozone (b) carbon dioxide (c) nitrogen (d) carbon monoxide 9. Navier Strokes equation represents the conservation of (a) energy (b) mass (c) pressure (d) momentum 10. In a bi-axial stress problem, the stresses in x and y directions are 200 s = and 100 . s = the maximum principal stress in MPa, is y MPa x MPa (a) 50 (b) 100 (c) 150 (d) 200 11. The ratio of tension on the tight side to that on the slack side in a flat belt drive is: (a) proportional to the product of coefficient of friction and lap angle (b) an exponential function of the product of coefficient of friction and lap angle (c) proportional to the lap angle (d) proportional to the coefficient of friction 12. The natural frequency of an undamped vibrating system is 100 rad/s. A damper with a damping factor of 0.8 is introduced into the system. The frequency of vibration of the damped system, in rad/s, is (a) 60 (b) 75 (c) 80 (d) 100 13. A steel shaft ”A‘ of diameter ”d‘ and length ”l‘ is subjected to a torque ”T‘. Anohter shaft ”B‘ made of aluminium of the same diameter ”d‘ and length 0.5 l is alsos subjected to the same torque ”T‘. The shear modulus of steel is 2.5 times the shear modulus of aluminium. The shear stress in the steel shaft is 100 MPa. The shear stress in the aluminium shaft, in MPa, is (a) 40 (b) 50 (c) 100 (d) 250 14. A 1.5 kW motor is running at 1440 rev/min. It is to be connected to a stirrer running at 36 rev/min. The gearing arrangement suitable for this application is (a) differential gear (b) helical gear (c) spur gear (d) worm gear 15. A steel wheel of 600 mm diameter rolls on a horizontal steel rail. It carries a load of 500 N. The coefficient of rolling resistance is 0.3 mm. The force in N, necessary to roll the wheel along the rail is (a) 0.5 (b) 5 (c) 15 (d) 150 16. Abrasive material used in grinding wheel selected for grinding ferrous alloys is: (a) silicon carbide (b) diamond (c) aluminium oxide (d) boron carbide 17. Cast steel crankshaft surface is hardened by (a) nitriding (b) normalizing (c) carburising (d) induction heating 18. Disposable patterns are made of (a) wood (b) rubber (c) metal (d) polystyrene 19. Deep hole drilling of small diameter, say 0.2 mm is done with EDM by selecting the tool material as (a) copper wire (b) tungsten wire (c) brass wire (d) tungsten carbide 20. In computer aided drafting practice, an arc is defined by (a) two end points only (b) center and radius (c) radius and one end point (d) two end points and centre 21. In a time study exercise, the time observed for an activity was 54 seconds. The operator had a performance rating of 120. A personal time allowance of 10% is given. The standard time for the activity, in seconds, is (a) 54 (b) 60.8 (c) 72 (d) 58.32 22. Cellular manufacturing is suitable for (a) a single product in large volumes (b) one-off production of several varieties (c) products with similar features made in batches (d) large variety of products in large volumes. 23. In a manufacturing plant, the probability of making a defective bolt is 0.1. The mean and standard deviation of defective bolts in a total of 900 bolts are respectively (a) 90 and 9 (b) 9 and 90 (c) 81 and 9 (d) 9 and 81 24. In Fig.2.5 if the pressure of gas in bulb A is 50 cm Hg vacuum and 76 cm Hg,p = the height of column H is equal to atm A (a) 26 cm (b) 50 cm (c) 76 cm (d) 126 cm 25. When atmospheric air is heated at constant pressure, its (a) humidity ratio does not change (b) relative humidity increases (c) dew point temperature does not change (d) wet bulb temperature increases Post Resume: Click here to Upload your Resume & Apply for Jobs

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