
	Trending ▼ ICSE CBSE 10th ISC CBSE 12th CTET GATE UGC NET Vestibulares ResFinder

gate 2011 solved paper

17 pages, 0 questions, 0 questions with responses, 0 total responses,

	lalit1901	+Fave Message
	Profile Timeline Uploads

Home > lalit1901 >

Formatting page ...

www.gatehelp.com 2011 ME Q. (1-25) carry one mark each. Q.1 Green sand mould indicates that (A) polymeric mould has been cured (B) mould has been totally dried (C) mould is green in colour (D) mould contains moisture Q.2 Eigenvalues of a real symmetric matrix are always (A) positive (B) negative (C) real (D) complex Q.3 A series expansion for the function sin is 2 4 (A) 1 + ........ 2! 4! 3 5 (B) + ...... 3! 5! 2 3 (C) 1 + + + + ..... 2! 3! 3 5 (D) + + + ...... 3! 5! Q.4 A column has a rectangular cross-section of 10 # 20 mm and a length of 1 m. The slenderness ratio of the column is close to (A) 200 (B) 346 (C) 477 (D) 1000 Q.5 Heat and work are (A) intensive properties (B) extensive properties (B) point functions (D) path functions +0.015 Q.6 A hole is of dimension 9+0 +0.010 mm. The corresponding shaft is of dimension 9+0.001 mm. The resulting assembly has (A) loose running fit (B) close running fit (C) transition fit (D) interference fit ME 1/17 2011 www.gatehelp.com ME Q.7 The operation in which oil is permeated into the pores of a powder metallurgy prod- uct is known as (A) mixing (B) sintering (C) impregnation (D) infiltration Q.8 The maximum possible draft in cold rolling of sheet increases with the (A) increase in coefficient of friction (B) decrease in coefficient of friction (C) decrease in roll radius (D) increase in roll velocity Q.9 A double-parallelogram mechanism is shown in the fig. Note that PQ is a single link. The mobility of the mechanism is (A) 1 (B) 0 (C) 1 (D) 2 Q.10 A simply supported beam PQ is loaded by a moment of 1 kNm at the mid-span of the beam as shown in the fig. The reaction forces RP and RQ at supports P and Q respectively are (A) 1kN downward, 1 kN upward (B) 0.5 kN upward, 0.5 kN downward (C) 0.5 kN downward, 0.5 kN upward ME 2/17 2011 www.gatehelp.com ME (D) 1 kN upward, 1 kN upward Q.11 In a condenser of a power plant, the steam condenses at a temperatures of 60cC . The cooling water enters at 30cC and leaves at 45cC . The logarithmic mean temperature difference (LMTD) of the condenser is (A) 16.2cC (B) 21.6cC (C) 30cC (D) 37.5cC Q.12 If a mass of moist air in an airtight vessel is heated to a higher temperature, then (A) specific humidity of the air increases (B) specific humidity of the air decreases (C) relative humidity of the air increases (D) relative humidity of the air decreases Q.13 A streamline and an equipotential line in a flow field (A) are parallel to each other (B) are perpendicular to each other (C) intersect at an acute angle (D) are identical Q.14 The crystal structure of austenite is (A) body centered cubic (B) face centered cubic (C) hexagonal closed packed (D) body centered tetragonal Q.15 Which one among the following welding processes uses non-consumable electrode ? (A) Gas metal arc welding (B) Submerged arc welding (C) Gas tungsten arc welding (D) Flux coated arc welding Q.16 A thin cylinder of inner radius 500 mm and thickness 10 mm is subjected to an in- ternal pressure of 5 MPa. The average circumferential (hoop) stress in MPa is (A) 100 ME (B) 250 3/17 2011 www.gatehelp.com (C) 500 ME (D) 1000 Q.17 The coefficient of restitution of a perfectly plastic impact is (A) 0 (B) 1 (C) 2 (D) 3 a Q.18 The f (x) is an even function and a is a positive real number, then # f (x) dx equals a (A) 0 (B) a a (C) 2a (D) 2 # f (x) dx 0 Q.19 The word kanban is most appropriately associated with (A) economic order quantity (B) just-in-time production (C) capacity planning (D) product design Q.20 Cars arrive at a service station according to Poisson s distribution with a mean rate of 5 per hour. The service time per car is exponential with a mean of 10 minutes. At steady state, the average waiting time in the queue is (A) 10 minutes (B) 20 minutes (C) 25 minutes (D) 50 minutes Q.21 The product of two complex number 1 + i and 2 5i is (A) 7 3i (B) 3 4i (C) 3 4i (D) 7 + 3i Q.22 Match the following criteria of material failure, under biaxial stresses 1 and 2 and yield stress y , with their corresponding graphic representations. P. Maximum-normal-stress criterion Q. Maximum-distortion-energy criterion R. Maximum-shear-stress criterion ME 4/17 2011 www.gatehelp.com (A) P-M, Q-L, R-N (B) P-N, Q-M, R-L (C) P-M, Q-N, R-L ME (D) P-N, Q-L, R-M Q.23 The contents of a well-insulated tank are heated by a resistor of 23 in which 10 A current is flowing. Consider the tank along with its contents as a thermodynamic system. The work done by the system and the heat transfer to the system are positive. The rates of heat (Q), work (W) and change in internal energy ( U) during the process in kW are (A) Q = 0, W = 2.3, U =+ 2.3 (B) Q =+ 2.3, W = 0, U + 2.3 (C) Q = 2.3, Q = 0, U = 2.3 (D) Q = 0, W =+ 2.3, U = 2.3 Q.24 A pipe of 25 mm outer diameter carries steam. The heat transfer coefficient between the cylinder and surroundings is 5 W/m2 K . It is proposed to reduce the beat loss from the pipe by adding insulation having a thermal conductivity of 0.05 W/mK . Which one of the following statements is TRUE ? ME 5/17 www.gatehelp.com 2011 ME (A) The outer radius of the pipe is equal to the critical radius. (B) The outer radius of the pipe is less than the critical radius. (C) Adding the insulation will reduce the heat loss. (D) Adding the insulation will increases the heat loss. Q.25 What is lim "0 sin equal to ? (A) (B) sin (C) 0 (D) 1 Q. (26 - 55) carry two marks each. Q.26 The shear strength of a sheet metal is 300 MPa. The blanking force required to pro- duce a blank of 100 mm diameter from a 1.5 mm thick sheet is close to (A) 45 kN (B) 70 kN (C) 141 kN (D) 3500 kN Q.27 A mass of 1 kg is attached to two identical springs each with stiffness k = 20 kN/m as shown in the fig. Under the frictionless conditions, the natural frequency of the system in Hz is close to (A) 32 (B) 23 (C) 16 (D) 11 Q.28 An unbiased coin is tossed five times. The outcome of each toss is either a head or a tail. The probability of getting at least one head is (A) 1 32 ME (B) 13 32 6/17 www.gatehelp.com 2011 (C) 16 32 ME (D) 31 32 Q.29 Consider the differential equation stant c is 2 dy = (1 + y 2) x . The general solution with condx (A) y = tan x + tan c 2 (B) y = tan2 a x + c k 2 (C) y = tan2 a x k + c 2 (D) y = tan b x + c l 2 2 Q.30 A stone with mass of 0.1 kg is catapulted as shown in the fig. The total force Fx (in N) exerted by the rubber band as a function of distance x (in m) is given by Fx = 300x 2 . If the stone is displaced by 0.1 m from the un-stretched position (x = 0) of the rubber band, the energy stored in the rubber band is (A) 0.01 J (B) 0.1 J (C) 1 J (D) 10 J Q.31 For the four-bar linkage shown in the fig., the angular velocity of link AB is 1 rad/s. The length of link CD is 1.5 times the length of link AB. In the configuration shown, the angular velocity of link CD in rad/s is ME 7/17 www.gatehelp.com 2011 (A) 3 (B) 3 2 (C) 1 ME (D) 2 3 Q.32 Two identical ball bearings P and Q are operating at loads 30 kN and 45 kN respec- tively. The ratio of the life of bearing P to the life of bearing Q is (A) 81 16 (B) 27 8 (C) 9 4 (D) 3 2 3 Q.33 The integral 1 # x dx , when evaluated by using Simpson s 1 rule on 3 1 two equal subintervals each of length l equals (A) 1000 (B) 1098 (C) 1111 (D) 1120 Q.34 The values of enthalpy of steam at the inlet and outlet of a steam turbine in a Ran- kine cycle are 2800 kJ/kg and 1800 kJ/kg respectively. Neglecting pump work, the specific steam consumption in kg/kW hour is (A) 3.60 (B) 0.36 (C) 0.06 (D) 0.01 Q.35 Fig. shows the schematic for the measurement of velocity of air (density = 1.2 kg/m 3 ) through a constant-area duct using a pitot tube and a water-tube manometer. The differential head of water (density = 1000 kg/m3 ) in the two columns of the manometer is 10 mm. Take acceleration due to gravity as 9.8 m/s2 . The velocity of air in m/s is ME 8/17 www.gatehelp.com 2011 (A) 6.4 (B) 9.0 (C) 12.8 ME (D) 25.6 Q.36 A torque T is applied at the free end of stepped rod of circular cross-section as shown in the fig. The shear modulus of material of the rod is G. The expression for d having angular twist at the free end is (A) b 32TL l4 G 1 (B) b 18TL l G 1 (D) b 2TL l4 G (C) b 16TL l4 G 1 Q.37 A cubic casting of 50 mm side undergoes volumetric solidification shrinkage and volumetric solid contraction of 4% and 6% respectively. No riser is used. Assume uniform cooling in all directions. The side of the cube after solidification and contraction is (A) 48.32 mm (B) 49.90 mm (C) 49.94 mm (D) 49.96 mm Q.38 Match the following non-tradition machining processes with the corresponding mate- rial removal mechanisms : ME 9/17 www.gatehelp.com 2011 ME Machining process P. Chemical machining Q. Electro-chemical machining R. Electro-discharge machining S. Ultrasonic machining Mechanism of material removal 1. Erosion 2. Corrosive reaction 3. Ion displacement 4. Fusion and vaporization (A) P-2, Q-3, R-4, S-1 (B) P-2, Q-4, R-3, S-1 (C) P-3, Q-2, R-4, S-1 (D) P-2, Q-3, R-1, S-4 Q.39 A single-point cutting tool with 12c rake angle is used to machine a steel work-piece. The depth of cut, i.e., uncut thickness is 0.81 mm. The chip thickness under orthogonal machining condition is 1.8 mm. The shear angle is approximately (A) 22c (B) 26c (C) 56c (D) 76c Q.40 Consider the following system of equations : 2x1 + x2 + x 3 = 0 , x2 x 3 = 0 , x1 + x 2 = 0 This system has (A) a unique solution (B) no solution (C) infinite number of solutions (D) five solutions Q.41 A 1 kg block is resting on a surface with coefficient of friction = 0.1 A . a force of 0.8 N is applied to the block as shown in the fig. The friction force is ME 10/17 www.gatehelp.com 2011 (A) 0 (B) 0.8 N (C) 0.98 N ME (D) 1.2 N Q.42 A disc of mass m is attached to a spring of stiffness k as shown in the fig. The disc rolls without slipping on a horizontal surface. The natural frequency of vibration of the system is (A) 1 2 k m (B) 1 2 2k m (C) 1 2 2k 3m (D) 1 2 3k 2m Q.43 An ideal Brayton cycle, operating between the pressure limits of 1 bar and 6 bar, has minimum and maximum temperature of 300 K and 1500 K. The ratio of specific heats of the working fluid is 1.4. The approximate final temperatures in Kelvin at the end of compression and expansion processes are respectively (A) 500 and 900 (B) 900 and 500 (C) 500 and 500 (D) 900 and 900 Q.44 A spherical steel ball of 12 mm diameter is initially at 1000 K. It is slowly cooled in surrounding of 300 K. The heat transfer coefficient between the steel ball and the surrounding is 5 W/m2 K . The thermal conductivity of steel is 20 W/mK. The temperature difference between the centre and the surface of the steel ball is (A) large because conduction resistance is far higher than the convective resistance. (B) large because conduction resistance is far less than the convective resistance. (C) small because conduction resistance is far higher than the convective resistance. (D) small because conduction resistance is far less than the convective resistance. Q.45 A pump handling a liquid raises its pressure from 1 bar to 30 bar. Take the density of the liquid as 990 kg/m3 . The isentropic specific work done by the pump in kJ/kg is (A) 0.10 ME (B) 0.30 11/17 2011 (C) 2.50 www.gatehelp.com ME (D) 2.93 Q.46 The crank radius of a single-cylinder I.C. engine is 60 mm and the diameter of the cylinder is 80 mm. The swept volume of the cylinder in cm3 is (A) 48 (B) 96 (C) 302 (D) 603 Q.47 The ratios of the laminar hydrodynamic boundary layer thickness to thermal layer thickness of flows of two fluids P and Q on a flat late are 1 and 2 respectively. The Reyn2 olds number based on the plate length of both the flows is 10 4 . The Prandtl and Nusselt numbers for P are 1 and 35 respectively. The Prandtl and Nusselt number, for Q are re8 spectively (A) 8 and 140 (B) 8 and 70 (C) 4 and 40 (D) 4 and 35 COMMON DATA QUESTIONS Common Data for Questions (48-49) : One unit of product P1 requires 3 kg of resources R1 and 1 kg of resources R2 . One unit of product P2 requires 2 kg of resources R1 and 2 kg of resources R2 . The profits per unit by selling product P1 and P2 are Rs. 2000 and Rs. 3000 respectively. The manufacturer has 90 kg of resources R1 and 100 kg of resources R2 . Q.48 The unit worth of resources R 2 , i.e., dual price of resources R 2 in Rs in Rs. per kg is (A) 0 (B) 1350 (C) 1500 (D) 2000 Q.49 The manufacturer can make a maximum profit of Rs. (A) 60000 (B) 135000 (C) 150000 (D) 200000 Common Data for Questions (50-51) : In an experimental set up, air flows between two stations P and Q adiabatically. The ME 12/17 2011 www.gatehelp.com ME direction of flow depends on the pressure and temperature conditions maintained at P and Q. The conditions at station P are 150 kPa and 350 K. The temperature at station Q is 300 K. The following are the properties and relations pertaining to air : Specific heat at constant pressure, c p = 1.005 kJ/kgK ; Specific heat at constant volume, cv = 0.718 kJ/kgK ; Enthalpy, h = cp T Q.50 If the air has to flow from station P to Q, the maximum possible value of pressure in kPa at station Q is close to (A) 50 (B) 87 (C) 128 (D) 150 Q.51 If the pressure at station Q is 50 kPa, the change in entropy (SQ SP ) in kJ/kgK is (A) 0.155 (B) 0 (C) 0.160 (D) 0.355 Linked Answer Questions Statement for Linked Answer Questions (52 - 53): A triangular-shaped cantilever beam of uniform-thickness is shown in the fig. The Young s modulus of the material of the beam is E. A concentrated load P is applied at the free end of the beam. Q.52 The area moment of inertia about the neutral axis of a cross-section at a distance x measured from the free end is ME 13/17 www.gatehelp.com 2011 3 (A) bxt 6l 3 (B) bxt 12l 3 (C) bxt 24l ME 3 (D) xt 12 Q.53 The maximum deflection of the beam is 3 (A) 24Pl3 Ebt 3 (B) 12Pl3 Ebt 3 (C) 3Pl 3 Ebt 3 (D) 6Pl 3 Ebt Statement for Linked Answer Questions (54 - 55) : The temperature and pressure of air in a large reservoir are 400 K and 3 bar respectively. A converging diverging nozzle of exit area 0.005 m2 is fitted to the wall of the reservoir as shown in the fig. The static pressure of air at the exist section for isentropic flow through the nozzle is 50 kPa. The characteristic gas constant and the ratio of specific heats of air are 0.287 kJ/kgK and 1.4 respectively. 3 Q.54 The density of air in kg/m at the nozzle exist is (A) 0.560 (B) 0.600 (C) 0.727 (D) 0.800 Q.55 The mass flow rate of air through the nozzle in kg/s is (A) 1.30 (B) 1.77 (C) 1.85 (D) 2.06 General Aptitude (GA) Questions ME 14/17 2011 www.gatehelp.com ME Q. (56-60) carry one mark each. Q.56 Choose the most appropriate word from the options given below to complete the following sentence. If you are trying to make a strong impression on your audience, you cannot do so by being understated, tentative or ......................... (A) hyperbolic (B) restrained (C) argumentative (D) indifferent Q.57 If log (P) = (1/2) log (Q) = (1/3) log (R), then which of the following option is TRUE ? (A) P 2 = Q3 R2 (B) Q2 = PR (C) Q2 = R3 P (D) R = P 2 Q2 Q.58 Choose the word from the options given below that is most nearly opposite in mean- ing to the given word : Amalgamate (A) merge (B) split (C) collect (D) separate Q.59 Choose the most appropriate word(s) from the options given below to complete the following sentence. I contemplated............Singapore for my vacation but decided against it. (A) to visit (B) having to visit (C) visiting (D) for a visit Q.60 Which of the following options is the closest in the meaning to the word below : Inexplicable (A) Incomprehensible (B) Indelible (C) Inextricable (D) Infallible Q. (61-65) carry two marks each. ME 15/17 2011 www.gatehelp.com ME Q.61 A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses 7 trucks, then at the end of the 4th day he can clear all the orders. Alternatively, if he uses only 3 trucks, then all the orders are cleared at the end of the 10th day. What is the minimum number of trucks required so that there will be no pending order at the end of the 5th day ? (A) 4 (B) 5 (C) 6 (D) 7 Q.62 P,Q,R and S are four types of dangerous microbes recently found n a human habi- tat. The are of each circle with its diameter printed in brackets represents the growth of a single microbe surviving human immunity system within 24 hours of entering the body. The danger of human beings varies proportionately with the toxicity, potency and growth attributed to a microbe shown in the fig. below : A pharmaceutical company is contemplating the development of a vaccine against the most dangerous microbe. Which microbe should the company target in its first attempt ? (A) P (B) Q (R) R (S) S Q.63 A container originally contains 10 litres of pure spirit. From this container 1 litre of spirit is replaced with 1 litre of water. Subsequently, 1 litre of the mixture is again replaced with 1 litre of water and this process is repeated one more time. How much spirit is now left in the container ? (A) 7.58 litres (B) 7.84 litres (C) 7 litres (D) 7.29 litres ME 16/17 2011 www.gatehelp.com ME Q.64 The variables cost (V) of manufacturing a product varies according to the equation V = 4q , where q according to the equation F = 100/q . How many units should be produced to minimize the total cost (V + F ) ? (A) 5 (B) 4 (C) 7 (D) 6 Q.65 Few school curricula include a unit on how to deal with bereavement and grief, and yet all students at some point in their lives suffer from losses through death and parting. Based on the above passage which topic would not be included in a unit on bereavement ? (A) how to write a letter of condolence (B) what emotional stages are passed through in the healing process (C) what the leading cause of death are (D) how to give support to a grieving friend ********** ME 17/17

Formatting page ...

Tags : gate me solved paper

lalit1901 chat

Horizontal lines at:
Guest Horizontal lines at:
AutoRM Data:
Box geometries: