Page 1 2013 Question Booklet Code ME-A 1/16 ME : MECHANICAL ENGINEERING Duration: Three Hours Maximum Marks: 100 Read the following instructions carefully. 1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal and read the instructions printed on the ORS carefully. If you find that either a. The Question Booklet Code printed at the right hand top corner of this page does not match with the Question Booklet Code at the right hand top corner of the ORS or b. The Question Paper Code preceding the Registration number on the ORS is not ME, then exchange the booklet immediately with a new sealed Question Booklet. 3. On the right hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the appropriate bubble under each digit of your registration number and (ii) write your registration number, your name and name of the examination centre and put your signature at the specified location. 4. This Question Booklet contains 16 pages including blank pages for rough work. After you are permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator. 5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each question has only one correct answer. Questions must be answered on the left hand side of the ORS by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen against the question number. For each question darken the bubble of the correct answer. More than one answer bubbled against a question will be treated as an incorrect response. 6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the bubbles in the ORS very carefully. 7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks questions include two pairs of common data questions and two pairs of linked answer questions. The answer to the second question of the linked answer questions depends on the answer to the first question of the pair. If the first question in the linked pair is wrongly answered or is not attempted, then the answer to the second question in the pair will not be evaluated. 8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each. 9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks questions, ? mark will be deducted for each wrong answer. However, in the case of the linked answer question pair, there will be negative marks only for wrong answer to the first question and no negative marks for wrong answer to the second question. 10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the Question Booklet for rough work. 12. Before the start of the examination, write your name and registration number in the space provided below using a black ink ballpoint pen. Name Registration Number ME A Page 2 2013 Question Booklet Code ME-A 1/16 ME : MECHANICAL ENGINEERING Duration: Three Hours Maximum Marks: 100 Read the following instructions carefully. 1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal and read the instructions printed on the ORS carefully. If you find that either a. The Question Booklet Code printed at the right hand top corner of this page does not match with the Question Booklet Code at the right hand top corner of the ORS or b. The Question Paper Code preceding the Registration number on the ORS is not ME, then exchange the booklet immediately with a new sealed Question Booklet. 3. On the right hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the appropriate bubble under each digit of your registration number and (ii) write your registration number, your name and name of the examination centre and put your signature at the specified location. 4. This Question Booklet contains 16 pages including blank pages for rough work. After you are permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator. 5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each question has only one correct answer. Questions must be answered on the left hand side of the ORS by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen against the question number. For each question darken the bubble of the correct answer. More than one answer bubbled against a question will be treated as an incorrect response. 6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the bubbles in the ORS very carefully. 7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks questions include two pairs of common data questions and two pairs of linked answer questions. The answer to the second question of the linked answer questions depends on the answer to the first question of the pair. If the first question in the linked pair is wrongly answered or is not attempted, then the answer to the second question in the pair will not be evaluated. 8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each. 9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks questions, ? mark will be deducted for each wrong answer. However, in the case of the linked answer question pair, there will be negative marks only for wrong answer to the first question and no negative marks for wrong answer to the second question. 10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the Question Booklet for rough work. 12. Before the start of the examination, write your name and registration number in the space provided below using a black ink ballpoint pen. Name Registration Number ME A 2013 MECHANICAL ENGINEERING - ME ME-A 2/16 Q.1 to Q.25 carry one mark each. Q.1 The partial differential equation 2 2 x u x u u t u ? ? = ? ? + ? ? is a (A) linear equation of order 2 (B) non-linear equation of order 1 (C) linear equation of order 1 (D) non-linear equation of order 2 Q.2 The eigenvalues of a symmetric matrix are all (A) complex with non-zero positive imaginary part. (B) complex with non-zero negative imaginary part. (C) real. (D) pure imaginary. Q.3 Match the CORRECT pairs. Numerical Integration Scheme Order of Fitting Polynomial P. Simpson’s 3/8 Rule 1. First Q. Trapezoidal Rule 2. Second R. Simpson’s 1/3 Rule 3. Third (A) P-2, Q-1, R-3 (B) P-3, Q-2, R-1 (C) P-1, Q-2, R-3 (D) P-3, Q-1, R-2 Q.4 A rod of length L having uniform cross-sectional area A is subjected to a tensile force P as shown in the figure below. If the Young’s modulus of the material varies linearly from 1 E to 2 E along the length of the rod, the normal stress developed at the section-SS is (A) A P (B) ( ) ( ) 2 1 2 1 E E A E E P + - (C) 1 2 AE PE (D) 2 1 AE PE Q.5 Two threaded bolts A and B of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt A is 4 times that of bolt B and the mean diameter of bolt A is 12 mm, the mean diameter of bolt B in mm is (A) 16 (B) 24 (C) 36 (D) 48 S P P S L L/2 E 1 E 2 Page 3 2013 Question Booklet Code ME-A 1/16 ME : MECHANICAL ENGINEERING Duration: Three Hours Maximum Marks: 100 Read the following instructions carefully. 1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal and read the instructions printed on the ORS carefully. If you find that either a. The Question Booklet Code printed at the right hand top corner of this page does not match with the Question Booklet Code at the right hand top corner of the ORS or b. The Question Paper Code preceding the Registration number on the ORS is not ME, then exchange the booklet immediately with a new sealed Question Booklet. 3. On the right hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the appropriate bubble under each digit of your registration number and (ii) write your registration number, your name and name of the examination centre and put your signature at the specified location. 4. This Question Booklet contains 16 pages including blank pages for rough work. After you are permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator. 5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each question has only one correct answer. Questions must be answered on the left hand side of the ORS by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen against the question number. For each question darken the bubble of the correct answer. More than one answer bubbled against a question will be treated as an incorrect response. 6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the bubbles in the ORS very carefully. 7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks questions include two pairs of common data questions and two pairs of linked answer questions. The answer to the second question of the linked answer questions depends on the answer to the first question of the pair. If the first question in the linked pair is wrongly answered or is not attempted, then the answer to the second question in the pair will not be evaluated. 8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each. 9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks questions, ? mark will be deducted for each wrong answer. However, in the case of the linked answer question pair, there will be negative marks only for wrong answer to the first question and no negative marks for wrong answer to the second question. 10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the Question Booklet for rough work. 12. Before the start of the examination, write your name and registration number in the space provided below using a black ink ballpoint pen. Name Registration Number ME A 2013 MECHANICAL ENGINEERING - ME ME-A 2/16 Q.1 to Q.25 carry one mark each. Q.1 The partial differential equation 2 2 x u x u u t u ? ? = ? ? + ? ? is a (A) linear equation of order 2 (B) non-linear equation of order 1 (C) linear equation of order 1 (D) non-linear equation of order 2 Q.2 The eigenvalues of a symmetric matrix are all (A) complex with non-zero positive imaginary part. (B) complex with non-zero negative imaginary part. (C) real. (D) pure imaginary. Q.3 Match the CORRECT pairs. Numerical Integration Scheme Order of Fitting Polynomial P. Simpson’s 3/8 Rule 1. First Q. Trapezoidal Rule 2. Second R. Simpson’s 1/3 Rule 3. Third (A) P-2, Q-1, R-3 (B) P-3, Q-2, R-1 (C) P-1, Q-2, R-3 (D) P-3, Q-1, R-2 Q.4 A rod of length L having uniform cross-sectional area A is subjected to a tensile force P as shown in the figure below. If the Young’s modulus of the material varies linearly from 1 E to 2 E along the length of the rod, the normal stress developed at the section-SS is (A) A P (B) ( ) ( ) 2 1 2 1 E E A E E P + - (C) 1 2 AE PE (D) 2 1 AE PE Q.5 Two threaded bolts A and B of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt A is 4 times that of bolt B and the mean diameter of bolt A is 12 mm, the mean diameter of bolt B in mm is (A) 16 (B) 24 (C) 36 (D) 48 S P P S L L/2 E 1 E 2 2013 MECHANICAL ENGINEERING - ME ME-A 3/16 Q.6 A link OB is rotating with a constant angular velocity of 2 rad/s in counter clockwise direction and a block is sliding radially outward on it with an uniform velocity of 0.75 m/s with respect to the rod, as shown in the figure below. If OA = 1 m, the magnitude of the absolute acceleration of the block at location A in m/s 2 is (A) 3 (B) 4 (C) 5 (D) 6 Q.7 For steady, fully developed flow inside a straight pipe of diameter D, neglecting gravity effects, the pressure drop p ? over a length L and the wall shear stress w t are related by (A) L D p w 4 ? = t (B) 2 2 4L D p w ? = t (C) L D p w 2 ? = t (D) D pL w ? = 4 t Q.8 The pressure, dry bulb temperature and relative humidity of air in a room are 1 bar, 30°C and 70%, respectively. If the saturated steam pressure at 30°C is 4.25 kPa, the specific humidity of the room air in kg water vapour/kg dry air is (A) 0.0083 (B) 0.0101 (C) 0.0191 (D) 0.0232 Q.9 Consider one-dimensional steady state heat conduction, without heat generation, in a plane wall; with boundary conditions as shown in the figure below. The conductivity of the wall is given by bT k k + = 0 ; where k 0 and b are positive constants, and T is temperature. As x increases, the temperature gradient ( dx dT ) will (A) remain constant (B) be zero (C) increase (D) decrease Q.10 In a rolling process, the state of stress of the material undergoing deformation is (A) pure compression (B) pure shear (C) compression and shear (D) tension and shear B A O 1 T 2 T x 1 2 where T T > Page 4 2013 Question Booklet Code ME-A 1/16 ME : MECHANICAL ENGINEERING Duration: Three Hours Maximum Marks: 100 Read the following instructions carefully. 1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal and read the instructions printed on the ORS carefully. If you find that either a. The Question Booklet Code printed at the right hand top corner of this page does not match with the Question Booklet Code at the right hand top corner of the ORS or b. The Question Paper Code preceding the Registration number on the ORS is not ME, then exchange the booklet immediately with a new sealed Question Booklet. 3. On the right hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the appropriate bubble under each digit of your registration number and (ii) write your registration number, your name and name of the examination centre and put your signature at the specified location. 4. This Question Booklet contains 16 pages including blank pages for rough work. After you are permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator. 5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each question has only one correct answer. Questions must be answered on the left hand side of the ORS by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen against the question number. For each question darken the bubble of the correct answer. More than one answer bubbled against a question will be treated as an incorrect response. 6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the bubbles in the ORS very carefully. 7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks questions include two pairs of common data questions and two pairs of linked answer questions. The answer to the second question of the linked answer questions depends on the answer to the first question of the pair. If the first question in the linked pair is wrongly answered or is not attempted, then the answer to the second question in the pair will not be evaluated. 8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each. 9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks questions, ? mark will be deducted for each wrong answer. However, in the case of the linked answer question pair, there will be negative marks only for wrong answer to the first question and no negative marks for wrong answer to the second question. 10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the Question Booklet for rough work. 12. Before the start of the examination, write your name and registration number in the space provided below using a black ink ballpoint pen. Name Registration Number ME A 2013 MECHANICAL ENGINEERING - ME ME-A 2/16 Q.1 to Q.25 carry one mark each. Q.1 The partial differential equation 2 2 x u x u u t u ? ? = ? ? + ? ? is a (A) linear equation of order 2 (B) non-linear equation of order 1 (C) linear equation of order 1 (D) non-linear equation of order 2 Q.2 The eigenvalues of a symmetric matrix are all (A) complex with non-zero positive imaginary part. (B) complex with non-zero negative imaginary part. (C) real. (D) pure imaginary. Q.3 Match the CORRECT pairs. Numerical Integration Scheme Order of Fitting Polynomial P. Simpson’s 3/8 Rule 1. First Q. Trapezoidal Rule 2. Second R. Simpson’s 1/3 Rule 3. Third (A) P-2, Q-1, R-3 (B) P-3, Q-2, R-1 (C) P-1, Q-2, R-3 (D) P-3, Q-1, R-2 Q.4 A rod of length L having uniform cross-sectional area A is subjected to a tensile force P as shown in the figure below. If the Young’s modulus of the material varies linearly from 1 E to 2 E along the length of the rod, the normal stress developed at the section-SS is (A) A P (B) ( ) ( ) 2 1 2 1 E E A E E P + - (C) 1 2 AE PE (D) 2 1 AE PE Q.5 Two threaded bolts A and B of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt A is 4 times that of bolt B and the mean diameter of bolt A is 12 mm, the mean diameter of bolt B in mm is (A) 16 (B) 24 (C) 36 (D) 48 S P P S L L/2 E 1 E 2 2013 MECHANICAL ENGINEERING - ME ME-A 3/16 Q.6 A link OB is rotating with a constant angular velocity of 2 rad/s in counter clockwise direction and a block is sliding radially outward on it with an uniform velocity of 0.75 m/s with respect to the rod, as shown in the figure below. If OA = 1 m, the magnitude of the absolute acceleration of the block at location A in m/s 2 is (A) 3 (B) 4 (C) 5 (D) 6 Q.7 For steady, fully developed flow inside a straight pipe of diameter D, neglecting gravity effects, the pressure drop p ? over a length L and the wall shear stress w t are related by (A) L D p w 4 ? = t (B) 2 2 4L D p w ? = t (C) L D p w 2 ? = t (D) D pL w ? = 4 t Q.8 The pressure, dry bulb temperature and relative humidity of air in a room are 1 bar, 30°C and 70%, respectively. If the saturated steam pressure at 30°C is 4.25 kPa, the specific humidity of the room air in kg water vapour/kg dry air is (A) 0.0083 (B) 0.0101 (C) 0.0191 (D) 0.0232 Q.9 Consider one-dimensional steady state heat conduction, without heat generation, in a plane wall; with boundary conditions as shown in the figure below. The conductivity of the wall is given by bT k k + = 0 ; where k 0 and b are positive constants, and T is temperature. As x increases, the temperature gradient ( dx dT ) will (A) remain constant (B) be zero (C) increase (D) decrease Q.10 In a rolling process, the state of stress of the material undergoing deformation is (A) pure compression (B) pure shear (C) compression and shear (D) tension and shear B A O 1 T 2 T x 1 2 where T T > 2013 MECHANICAL ENGINEERING - ME ME-A 4/16 Q.11 Match the CORRECT pairs. Processes Characteristics / Applications P. Friction Welding 1. Non-consumable electrode Q. Gas Metal Arc Welding 2. Joining of thick plates R. Tungsten Inert Gas Welding 3. Consumable electrode wire S. Electroslag Welding 4. Joining of cylindrical dissimilar materials (A) P-4, Q-3, R-1, S-2 (B) P-4, Q-2, R-3, S-1 (C) P-2, Q-3, R-4, S-1 (D) P-2, Q-4, R-1, S-3 Q.12 A metric thread of pitch 2 mm and thread angle 60° is inspected for its pitch diameter using 3-wire method. The diameter of the best size wire in mm is (A) 0.866 (B) 1.000 (C) 1.154 (D) 2.000 Q.13 Customers arrive at a ticket counter at a rate of 50 per hr and tickets are issued in the order of their arrival. The average time taken for issuing a ticket is 1 min. Assuming that customer arrivals form a Poisson process and service times are exponentially distributed, the average waiting time in queue in min is (A) 3 (B) 4 (C) 5 (D) 6 Q.14 In simple exponential smoothing forecasting, to give higher weightage to recent demand information, the smoothing constant must be close to (A) - 1 (B) zero (C) 0.5 (D) 1.0 Q.15 A steel bar 200 mm in diameter is turned at a feed of 0.25 mm/rev with a depth of cut of 4 mm. The rotational speed of the workpiece is 160 rpm. The material removal rate in mm 3 /s is (A) 160 (B) 167.6 (C) 1600 (D) 1675.5 Q.16 A cube shaped casting solidifies in 5 min. The solidification time in min for a cube of the same material, which is 8 times heavier than the original casting, will be (A) 10 (B) 20 (C) 24 (D) 40 Q.17 For a ductile material, toughness is a measure of (A) resistance to scratching (B) ability to absorb energy up to fracture (C) ability to absorb energy till elastic limit (D) resistance to indentation Q.18 In order to have maximum power from a Pelton turbine, the bucket speed must be (A) equal to the jet speed. (B) equal to half of the jet speed. (C) equal to twice the jet speed. (D) independent of the jet speed. Q.19 Consider one-dimensional steady state heat conduction along x-axis (0 = x = L), through a plane wall with the boundary surfaces (x=0 and x=L) maintained at temperatures of 0°C and 100°C. Heat is generated uniformly throughout the wall. Choose the CORRECT statement. (A) The direction of heat transfer will be from the surface at 100°C to the surface at 0°C. (B) The maximum temperature inside the wall must be greater than 100°C. (C) The temperature distribution is linear within the wall. (D) The temperature distribution is symmetric about the mid-plane of the wall. Page 5 2013 Question Booklet Code ME-A 1/16 ME : MECHANICAL ENGINEERING Duration: Three Hours Maximum Marks: 100 Read the following instructions carefully. 1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal and read the instructions printed on the ORS carefully. If you find that either a. The Question Booklet Code printed at the right hand top corner of this page does not match with the Question Booklet Code at the right hand top corner of the ORS or b. The Question Paper Code preceding the Registration number on the ORS is not ME, then exchange the booklet immediately with a new sealed Question Booklet. 3. On the right hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the appropriate bubble under each digit of your registration number and (ii) write your registration number, your name and name of the examination centre and put your signature at the specified location. 4. This Question Booklet contains 16 pages including blank pages for rough work. After you are permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator. 5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each question has only one correct answer. Questions must be answered on the left hand side of the ORS by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen against the question number. For each question darken the bubble of the correct answer. More than one answer bubbled against a question will be treated as an incorrect response. 6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the bubbles in the ORS very carefully. 7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks questions include two pairs of common data questions and two pairs of linked answer questions. The answer to the second question of the linked answer questions depends on the answer to the first question of the pair. If the first question in the linked pair is wrongly answered or is not attempted, then the answer to the second question in the pair will not be evaluated. 8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each. 9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks questions, ? mark will be deducted for each wrong answer. However, in the case of the linked answer question pair, there will be negative marks only for wrong answer to the first question and no negative marks for wrong answer to the second question. 10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the Question Booklet for rough work. 12. Before the start of the examination, write your name and registration number in the space provided below using a black ink ballpoint pen. Name Registration Number ME A 2013 MECHANICAL ENGINEERING - ME ME-A 2/16 Q.1 to Q.25 carry one mark each. Q.1 The partial differential equation 2 2 x u x u u t u ? ? = ? ? + ? ? is a (A) linear equation of order 2 (B) non-linear equation of order 1 (C) linear equation of order 1 (D) non-linear equation of order 2 Q.2 The eigenvalues of a symmetric matrix are all (A) complex with non-zero positive imaginary part. (B) complex with non-zero negative imaginary part. (C) real. (D) pure imaginary. Q.3 Match the CORRECT pairs. Numerical Integration Scheme Order of Fitting Polynomial P. Simpson’s 3/8 Rule 1. First Q. Trapezoidal Rule 2. Second R. Simpson’s 1/3 Rule 3. Third (A) P-2, Q-1, R-3 (B) P-3, Q-2, R-1 (C) P-1, Q-2, R-3 (D) P-3, Q-1, R-2 Q.4 A rod of length L having uniform cross-sectional area A is subjected to a tensile force P as shown in the figure below. If the Young’s modulus of the material varies linearly from 1 E to 2 E along the length of the rod, the normal stress developed at the section-SS is (A) A P (B) ( ) ( ) 2 1 2 1 E E A E E P + - (C) 1 2 AE PE (D) 2 1 AE PE Q.5 Two threaded bolts A and B of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt A is 4 times that of bolt B and the mean diameter of bolt A is 12 mm, the mean diameter of bolt B in mm is (A) 16 (B) 24 (C) 36 (D) 48 S P P S L L/2 E 1 E 2 2013 MECHANICAL ENGINEERING - ME ME-A 3/16 Q.6 A link OB is rotating with a constant angular velocity of 2 rad/s in counter clockwise direction and a block is sliding radially outward on it with an uniform velocity of 0.75 m/s with respect to the rod, as shown in the figure below. If OA = 1 m, the magnitude of the absolute acceleration of the block at location A in m/s 2 is (A) 3 (B) 4 (C) 5 (D) 6 Q.7 For steady, fully developed flow inside a straight pipe of diameter D, neglecting gravity effects, the pressure drop p ? over a length L and the wall shear stress w t are related by (A) L D p w 4 ? = t (B) 2 2 4L D p w ? = t (C) L D p w 2 ? = t (D) D pL w ? = 4 t Q.8 The pressure, dry bulb temperature and relative humidity of air in a room are 1 bar, 30°C and 70%, respectively. If the saturated steam pressure at 30°C is 4.25 kPa, the specific humidity of the room air in kg water vapour/kg dry air is (A) 0.0083 (B) 0.0101 (C) 0.0191 (D) 0.0232 Q.9 Consider one-dimensional steady state heat conduction, without heat generation, in a plane wall; with boundary conditions as shown in the figure below. The conductivity of the wall is given by bT k k + = 0 ; where k 0 and b are positive constants, and T is temperature. As x increases, the temperature gradient ( dx dT ) will (A) remain constant (B) be zero (C) increase (D) decrease Q.10 In a rolling process, the state of stress of the material undergoing deformation is (A) pure compression (B) pure shear (C) compression and shear (D) tension and shear B A O 1 T 2 T x 1 2 where T T > 2013 MECHANICAL ENGINEERING - ME ME-A 4/16 Q.11 Match the CORRECT pairs. Processes Characteristics / Applications P. Friction Welding 1. Non-consumable electrode Q. Gas Metal Arc Welding 2. Joining of thick plates R. Tungsten Inert Gas Welding 3. Consumable electrode wire S. Electroslag Welding 4. Joining of cylindrical dissimilar materials (A) P-4, Q-3, R-1, S-2 (B) P-4, Q-2, R-3, S-1 (C) P-2, Q-3, R-4, S-1 (D) P-2, Q-4, R-1, S-3 Q.12 A metric thread of pitch 2 mm and thread angle 60° is inspected for its pitch diameter using 3-wire method. The diameter of the best size wire in mm is (A) 0.866 (B) 1.000 (C) 1.154 (D) 2.000 Q.13 Customers arrive at a ticket counter at a rate of 50 per hr and tickets are issued in the order of their arrival. The average time taken for issuing a ticket is 1 min. Assuming that customer arrivals form a Poisson process and service times are exponentially distributed, the average waiting time in queue in min is (A) 3 (B) 4 (C) 5 (D) 6 Q.14 In simple exponential smoothing forecasting, to give higher weightage to recent demand information, the smoothing constant must be close to (A) - 1 (B) zero (C) 0.5 (D) 1.0 Q.15 A steel bar 200 mm in diameter is turned at a feed of 0.25 mm/rev with a depth of cut of 4 mm. The rotational speed of the workpiece is 160 rpm. The material removal rate in mm 3 /s is (A) 160 (B) 167.6 (C) 1600 (D) 1675.5 Q.16 A cube shaped casting solidifies in 5 min. The solidification time in min for a cube of the same material, which is 8 times heavier than the original casting, will be (A) 10 (B) 20 (C) 24 (D) 40 Q.17 For a ductile material, toughness is a measure of (A) resistance to scratching (B) ability to absorb energy up to fracture (C) ability to absorb energy till elastic limit (D) resistance to indentation Q.18 In order to have maximum power from a Pelton turbine, the bucket speed must be (A) equal to the jet speed. (B) equal to half of the jet speed. (C) equal to twice the jet speed. (D) independent of the jet speed. Q.19 Consider one-dimensional steady state heat conduction along x-axis (0 = x = L), through a plane wall with the boundary surfaces (x=0 and x=L) maintained at temperatures of 0°C and 100°C. Heat is generated uniformly throughout the wall. Choose the CORRECT statement. (A) The direction of heat transfer will be from the surface at 100°C to the surface at 0°C. (B) The maximum temperature inside the wall must be greater than 100°C. (C) The temperature distribution is linear within the wall. (D) The temperature distribution is symmetric about the mid-plane of the wall. 2013 MECHANICAL ENGINEERING - ME ME-A 5/16 Q.20 A cylinder contains 5 m 3 of an ideal gas at a pressure of 1 bar. This gas is compressed in a reversible isothermal process till its pressure increases to 5 bar. The work in kJ required for this process is (A) 804.7 (B) 953.2 (C) 981.7 (D) 1012.2 Q.21 A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell is (A) 0.5 (B) 1.0 (C) 2.0 (D) 4.0 Q.22 If two nodes are observed at a frequency of 1800 rpm during whirling of a simply supported long slender rotating shaft, the first critical speed of the shaft in rpm is (A) 200 (B) 450 (C) 600 (D) 900 Q.23 A planar closed kinematic chain is formed with rigid links PQ = 2.0 m, QR = 3.0 m, RS = 2.5 m and SP = 2.7 m with all revolute joints. The link to be fixed to obtain a double rocker (rocker- rocker) mechanism is (A) PQ (B) QR (C) RS (D) SP Q.24 Let X be a normal random variable with mean 1 and variance 4. The probability P{X < 0} is (A) 0.5 (B) greater than zero and less than 0.5 (C) greater than 0.5 and less than 1.0 (D) 1.0 Q.25 Choose the CORRECT set of functions, which are linearly dependent. (A) x sin , 2 sin x and 2 cos x (B) cos x , x sin and x tan (C) cos 2x , 2 sin x and 2 cos x (D) cos 2x , x sin and x cosRead More

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