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HAL previous Question papers |

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Re: HAL previous Question papers
Hindustan Aeronautics Company Limited (HAL) is a public sector company under the Ministry of Defense. The company is mainly engaged in aerospace industry and manufactures and assembles aircraft. HAL is headquartered in Bangalore. The company has branches in Hyderabad, Nasik, Koraput (Orissa), Korwa (U.P), Kanpur, Lucknow and Barrackpore (W.B.). Sample Questions: 1. When length of a wire increases its resistance a. doubles b. half c. remains same Ans: ( a ) 2. When a 50 Hz ,6-pole Induction Motor runs at 975rpm,the rotor emf frequency is a. 12.5Hz b. 1.25Hz c. 4Hz Ans: ( b ) 3. When a 6 pole 50Hz Induction Motor runs at 1450 rpm , it’s working mode is a. motoring b. braking c. generating Ans: ( a ) 4. Slips for Different modes of operation of Induction Motor are answer: motoring -0 5. Damping ratio ( ? ) is 0.75, natural frequency is 12 rad/s are given & asked to find peak time 6. In electrodynamo-meter type wattmeter a. pressure coil is made fixed b. current coil is made fixed c. both the coils are made fixed Ans: ( a ) 7. In flux meter control torque is produced by a. weights attached to it. b. Springs c. No control torque is there Ans: ( c ) 8. One question regarding hot wire instrument 9. In MI meters deflecting torque is proportional to a. square of the current b. square of the voltage Ans: ( a ) 10.In 3-F system total power is given by a. v3VLILcos F b. 3VLILcos F c. VLILcos F Ans: ( a ) 11.From supply one 3-F step-down transformer is drawing 10 A, the secondary current will be minimum when the transformer is a. star-delta b. delta-star c. delta-delta d. star-star Ans: ( b ) 12.Transformer rating is expressed in a. KVA b. KVAR c. KW Ans: ( a ) 13.Manganin is a a. Insulator b. Semi-conductor c. Alloy 14.Dual scope oscilloscope has a. two separate horizontal and two separate vertical plates b. one horizontal and two separate vertical plates c. two separate horizontal and one vertical plates d. one horizontal and one vertical plates 15.Standard Cell voltage is measured by a. MI meter b. MC meter c. Potentiometer 16.The input resistance of the CRO is of the order of a. tens of ohm b. mega ohm c. kilo ohm d. fraction of an ohm Ans: ( b ) 17.Errors are introduced in Wheatstone bridge due to a. lead resistance b. contact resistance c. some thing is given d. all of the above 18.HRC fuse and circuit-breaker combination is used CB operates for a. low over-load currents b. high over-load currents c. combination is never used 19.G(s) = K / s(s+5)(s+1) is given to find the value of K for stable operation 20.By increasing gain of the system root locus will a. moves away from poles b. moves away from zeros c. crosses imaginary axis Ans: ( a ) 21.When the load current is high while measuring power using wattmeter a. current coil is connected near load b. pressure coil is connected near load 22.C = 0.01µF and L = 1 mH and current is 10 A and asked to find the voltage drop 23.Transmission line is terminated by R and no reflection is there , then the value of R is _________ Ans: 400 ohm 24.One question regarding shunt ohm-meter and seriea ohm-meter 25.Inverted V curves are drawn between ________ Ans: field current Vs power factor 1) The purpose of feedback transformer & diode in complementary commutated inverters is to- 2) In order to obtain static voltage equalization in series connected SCR’s connection r made of- (this question repeatedquestion) 3) In phase controlled rectification PF= 4) Why sector winding is used in synchronous motor? 5) A calculation of making current where MVA & KV was given. 6) The oop voltage e1 & e2 of 2 full-bridge inverters added using o/p transformer. In order to eliminate 5th harmonic from o/p voltage, the phase angle between e1&e2 will be- 7) A single phase fully controlled line commutated ac-dc converter operates as an inverter when- 8) An SCR has half cycle surge current rating of 3000A for 50Hz. One cycle surge current will be. (double of that) 9) When compared to an symmetrical thyristor, the turn off time & reverse blocking voltage of an asymmetrical thyristor will be- 10) A step-up chopper is feed from an 220v dc source to deliver a load voltage of 66o v. If the non conducting time is 100micro-sec then reqd pulse width will be. (get duty cycle only) 11) There were some 5-6 numerical problems which I could not remember totally but they consist of firing angle & power transfer of inverter, SCR. Go llok for that. 12) Relay current setting & Ct ratio was given you have to find out Relay Pick up Current. 13) One question from Dc shunt motor- like a resistance is added of 4.5 ohm in series with arm where rest of arm is 0.5 ohm. Machine is supplied 220v. find out the null current. 14) In aptitude part see through series completion there was a 5-6 no of that. 15) No aptitude questing like avg, %, proff-loss, prob, etc. 17) Why rotor of SCIM is skewed? 19) Good transformer oil contains how much amount of water in ppm? 20) Lightning over voltage create how much volt? 21) K/s(s+1)(s+5) then find out the value of K so that system become stable. 22) There was a question from definition of Nyquist criteria. 23) Standing done up to the frequency range of? (audio) 24) If a square waveform if given to the supply side of a 2wdg transformer its o/p waveform will be- 25) SC test done on transformer because.... 26) If a transformer is operating in .8 PF lag & at efficiency of .9, if now P is .8 lead the efficiency will become. 27) Interpoles are connected for? 28) Dielectric strength of air? 29) A alternator is connected to a grid. Now its prime mover is go slow by ½. Change in its exiting current to held in synchronism. 30) Is the strength of capacitor in LPF is increased the op voltage will- 31) The voltage of a generator and an infinite bus are given 0.92, 10 deg & 1.0, 0 deg resp. the generator acts as a – 32) A wave will not experience any reflection when impedance of line is equal to- surge imp 33) Power transmitted is related to system voltage as- 34) Delay creator ckt name (multivibrator name actually) 35) In tachogenerator adjustment is done by- 36) Surge wave is attended by- (C,L,R) 37) there was 10 question related to measurement- 38) Read all electrostatic instrument related question from any competitive exam book. 39) Lowest reading in moving iron meter is- 40) In galvanometer damping is provided by- 41) In electrodynamic meter a battery & a resistance is provide for- 42) Megger is used for- 43) A question like an ac is applied against a moving coil meter it will reads- 44) Rectifier type instrument measureswhat value - (Rms) 45) Advantage of electrostatic instrument is- 46) Creeping occurs because- 47) Why 2 holes are drilled oppositely in disc of energy meter. 48) Energy meter is a _____ type equipment (recording) 49) There was a question related to selection of a voltmeter based on accuracy- 50) Advantage of hay bridge over anderson bridge- 51) Inductance is measured by – (all the 3 bridge name) . 52) Potentiometer is which type of instrument- 53) Which type of motor is used in refrigerator? 54) Reflection coefficient based problem 1 55) Corona’s advantage- Technical: 1. what is used for heat dissipation in ICs 2. for an amplifier, given IC(dc) and IC(ac)(p) for a 1k load calculate avg dc power dissipated. 3. given hfe calculate hfc. 4. given ICBO,ICO and α calc ICEO. 5. for common collector configuration o/p current is IE/IC/IB/.. 6. which configuration amongst CC/CE/CB gives no current gain. 7. SiC is which group compound 8. pipelining is implemented in RISC/CISC/… 9. given transmitted power and modulation % for AM calc avg sideband power. 10. spectrum of sinewave contains how many components. 11. which of the following signals supports snoopy cache protocol arbitration signal/cache support signal/… 12. for an n-bit multiplicand and multiplier the booth,s algorithm generates how many bit product. 13. which window achieves smaller sidelobe width at the cost of greater mainlobe twidth hamming/hanning/Blackman/Kaiser 14. a highpass RC filter behaves as pure differentiator when ωτ<<1/ωτ>>1/… 15. what is the lowest atomic concentration that can be measured using SIMS boron concentration method. 16. what type of bond is present in Si and Ge. 17. dynamic characteristics of capacitive transducers are similar when used as HPF/LPF/… 18. what is used as switching element in SMPS at 20-100 kHz UJT/thyristor/triac/MOSFET. 19. how can CMRR be increased-by increasing source resistance/emitter resistance/collector resistance/.. 20. avg value of a HWR current signal of peak value Im. 21. given 3 dB bandwidth and resonance freq of an RLC ckt calc its Q. 22. how many tokens are present in C- 0/1/2/3. 23. for a stretch of code as int a;a=5/2; what will be the value stored in a. 24. what does the statement volatile int a mean in C. 25. ASCII code of Z. 26. for a stretch of code as char a =252;a=a+5; what is the value stored in a. 27. one problem on binary to hexadecimal conversion. 28. 212 address lines address how much memory. 29. 220 address lines address how much memory 2G/2M/… 30. another name for single transfer mode in direct transfer. 31. what signal used for DMA in 8085. 32. sequence of instruction cycles for PUSH B. 33. what are the various steps in one machine cycle of 8085. 34. response time of PIN diode. 35. range of current signal in RS232 serial transfer mode. 36. when an electron is injected into a circular conductor surrounded by an insulator what will happen- it will distribute uniformly/move to the surface/… 37. for a solenoid with end A connected to +ve terminal and end B to –ve terminal what will happen end A will be north pole/end B will be north pole/both will alternately be north poles/it won’t behave as a magnet. 38. what is the value stored in an un-initialized static variable in C. 39. what transistor is used in VLSI. 40. number of gates used in GSI. 41 supply voltage in HTL logic. 42. given a K-map,obtain a simplified SOP form. 43. 2’s complement of –ve 1011. 44. 2’s complement of another binary number. 45. why are synchronous ckts difficult to design –they have fast response/they have stability problem/ … 46. given 4 equations identify which conforms to Boolean algebra laws. 47. when lower byte is used to address MSW what is it called big endian/little endian/… 48. a 6 V peak sine wave is given to one of the inverters of a 7414. after what value will the o/p change from high to low. 49. given two sequences,calc their product. 50. given two sequences find their convolution. 51. find the ROC of a right sided exponential sequence. 52. the property x(t)*h(t)=h(t)*x(t) is called commutative/associative/distributive/… 53. given the sequence y(n)=5cos[4πn/31 + π/5] find the fundamental period of it. 54. in what type of control is hysteresis present -P/I/D/on-off. 55. given mmf and reluctance, calc flux. 56. max no of peripherals that can be connected to 8085 through a PIC. 57. why is class B modulation preferred to class C modulation. 58. given a telemetry channel in which a 4 kHz bandwidth signal is carried by two carriers of 36kHz and 48 kHz calc the freq bands occupied. 59. LVDT is a electrostatic/electrical/electromagnetic/electromechanical device. 60. order of resistance of shunt coil used in Q-meters. 61. what are the minority carriers in an n-type material. 62. the band formed when energy associates combine with valence electrons is… 63. depletion region width can be increased by… 64. minority carrier concentration depends on applied fwd voltae/applied reverse voltage/doping level/ … 65. numerical on calc of drift velocity of an electron. 66. maxm power consumption occurs in electrostatic/hotwire/induction/moving iron instrument. 67. for a collector modulated AM ckt given values of L & C of the tuning ckt and the message signal freq calculate the freq spectrum of the AM wave. 68. upon which of the following plots can the Nyquist plot be mapped-bode/root locus/polar/inverse polar. 69. which of the following compensators increases the damping factor-phase lead/phase lag/phase laglead/ phase lead-lag. 70. for regenerative feedback having fwd path gain G(s) and f/b path gain H(s) calc the transfer function. 71. which is true about the wagner earthing device-it reduces waveform errors/introduces high accuracy in measurement/does not affect AC bridges/changes the freq of measurement. 72. a 2nd order LTI system acts as which of the following-HPF/LPF/BPF/.. 73. which of the following adds linearly-Ls in series/Cs in series/Rs in parallel/.. 74. relation between mobility and diffusion constant. 75. at 308K value of Eg for Si. 76. what indicates the efficiency of transport of electrons injected from the emitter into the collector by the base-base transport factor/base injection factor/… 77. error detection can be achieved by potentiometer/amplidyne/armature controlled/field controlled AC motor. 78. which of the following can act as an input to an AC bridge-RPS/oscillator/amplifier/… 79. if some i/p voltages are to be added without changing their values in an op-amp having f/b resistance as 1k, the i/p resistances should be.. 80. given ρ,l and d for a copper wire,calc its resistance. 81. if the length of a wire is increased what happens to its resistance-increases linearly/increases exponentially/… 82. for a current carrying coil if the current is doubled then the field strength is doubled/halved/increased 4 times/.. 83. some value of L and C is connected to a 150V,60Hz source. What value of inductor will make the same current lag behind the same voltage with the same capacitor. 84. loss due to dielectric distortion ina capacitor is called… 85. for an ideal MOS capacitor if the gate voltage is less than 0 it behaves in what mode.. 86. given a ckt with a parallel combination of a 1 F capacitor and a (1Ω resistor and 0.5H inductor in series) excited by a source of value cos t, calc the current given by the source. 87. anti-side tone ckts are used in telephones to introduce/eliminate/attenuate sidebands. 88. in a radio receiver noise occurs in the mixer/oscillator/amplifier/… stages. 89. for a 4k RAM with starting address 4000H the last address will be… 90. RST 5.5 is vectored to which address 91. among RST 5.5/6.5/7.5 which is serviced last. 92. a capacitor of some value is charged thru a resistor of some value and a 6 V battery. Calc the time taken by the capacitor to charge to its maxm value. 93. given an eqn for FM, identify the carrier freq. 94. how many invalid states are present in a mod-6 counter. 95. when ckts are connected in tandem which method is easier to analyze them-h parameters/OC impedance parameters/transmission parameters/SC admittance parameters. 96. from a 75 MHz counter what is the value of the smallest time period of the signal that can be obtained. 97. Cgd for a FET in the small signal low freq model is in the range of… 98. kirchoff’s law is not applicable to which of the following ckts-nonlinear/dual/linear/distributed parameter. 99. why is a diac preferred to turn on a triac-for slower turn-on/faster turn-off/better stability/… 100. resistance of the epitaxial layer depends on… 101. which of these is an active transducer-photoconductive/photovoltaic cell/selsyn/… 102. DC blocking in a transistor is achieved by….. 103. what current is drawn by a 10 W lamp connected to a 220 V,60 Hz source. 104. noise margin of CMOS is 0/infinite/high/medium… 105. schotky barriers are frequently used as….. 106. octave freq range is represented by…. 107. i/p impedance of a digital instrument is of the order of…. 108. what is the time taken to multiply a 14 bit no. with a 1 MHz clock. 109. parity error checking identifies error occurring in 1 bit/2/3/4 bits only. 110. when RESET IN(active low) is affected in an 8085 what happens. 111. how many times will a for loop going from 20 to 100 in steps of 10 be executed. 112. if the control statement is made outside the body of a function in C what is it called. 113. which of the following can be a variable in C-8ab/total salary/gross_salary_2008/net__income__2008. 114. if the units of both current and voltage are increased 20 times of their present value how will the units of capacitance change. 115. what type of non-linearity is present in a servomotor-backlash/coulomb friction/dead space/… 116. given the i/p signals to a differential amplifier calc its o/p voltage.
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Re: HAL previous Question papers
Hello friend as you want the previous Question papers of HAL so here I am providing you the same./…… 1. A hydraulic press has a ram of 15 cm diameter and plunger of 1.5 cm. It is required to lift a mass of 1000kg. The force required on plunger is nearly equal to a) 100N b) 1000N c) 10000N d) 1ON Ans. 2. If the stream function is given by Ψ= 3xy, then the velocity at a point (2, 3) will be a) 7.21 unit b) 18 unit c)10.82 unit d)54unit Ans. 3. The correct sequence of the centrifugal, pump components through which the fluid flows is a) Impeller, Suction pipe, Foot valve and strainer, Delivery pipe b) Foot valve and strainer, Suction pipe, Impeller, Deliverypipe c) Impeller, Suction pipe,Delivery pipe,Foot valve and strainer d) Suction pipe, Delivery pipe, Impeller,Foot valve and strainer Ans. 4. The relation p = constant, where y is the ratio of the specific heats of ideal gas, is applicable to a) Any adiabatic process b)Only reversible adiabatic process c) Only irreversible adiabatic process d) Only isothermal process Ans. 5. Across a normal shock a) static pressure and the static temperature rise b) entropy remains constant c) velocity and static pressure decrease d) density and temperature decrease Ans. 6. A necessary precaution in selection of pumps for parallel operations is that a) H-Q characteristics of both should be identical b) Both pumps should be centrifugal type c) Both pumps should be identical d) There should not be change from positive to negative slope In H-Q curve Ans. 7. A metallic cube of side 10 cm, density 6.8 gm/cc is floating in liquid mercury (density 13.6gm/cc), with 5 cm height of cube exposed above the mercury level. Water (density 1 gm/cc) is filled over this, to submerge the cube fully. The new height of cube exposed above mercury level is a) 4.6 cm b)5.4cm c) 5.0 cm d)5.8cm Ans. 8. The pressure drop for a relatively low Reynolds number flow in a 600 mm, 30 m long pipeline is 7OkPa. What is the wall shear stress? a) 0 Pa b)1400 Pa c) 700 Pa d) 350 Pa Ans. 9. The radiative heat transfer rate per unit area (W/m2) between two plane parallel grey surfaces (emissivity 0.9) maintained at 400 K and 300 K is (Stefan Boltzmann constant σ = 5.67 x 10 W/m2k4) a) 1020 b)464 c)812 d)567 Ans. 10. At the eye tip of a centrifugal impeller, blade velocity is 200 m/s while the uniform axial velocity at the inlet is 150 m/s. If the sonic velocity is 300 m/s, then the inlet Mach number of the flow will be a)0.75 b) 0.66 c) 0.90 d)0.83 Ans. 11. The transition Reynolds number for flow over a flat plate is 5* 105. What is the distance from the leading edge at which transition will occur for flow of water with a uniform velocity of 1 m/s? (For water. the kinematic viscosity, v = 0.86* 10-6 m2/s) a) 0.43m b) 1m c)43m d)103m Ans. 12. For a reciprocating water pump having cylinder dia d and crank radius r, if W is the weight of water lifted, the coefficient of discharge is a) 2 b) 2 2 c) 2 d) 2 Ans. 13. Both free vortex and forced vortex can be expressed mathematically in terms of tangential velocity V at the corresponding radius r. Choose the correct combination Free vortex Forced vortex a) V r xconst. Vr= const. b)V2x r = const. V = r x const. c)V x r = const. V2= r x const. d) V x r= const. V =r x const. Ans. 14. A bucket of water is hanging from a spring balance. An iron piece is suspended into water without touching sides of bucket from another support. The spring balance reading will a)Remain same b)Decrease c) Increase d) Increase/decrease depending on depth of immersion Ans. 15. A single-stage impulse turbine with a diameter of 120 cm runs at 3000 rpm. If the blade speed ratio is 0.42 then, the inlet velocity of steam will be a) 79m/s b) 188m/s c) 450m/s d) 900m/s Ans. 16. The critical point and triple point data for water are, Tc = 374°C, Pc = 22.1 Mpa, TT = 0.01°C. PT = 0.6 kPa Indicate the phase change that will occur in following cases, (i) ice at 0.5 kPa is heated isobarically (ii) Water vapour at 400°C is compressed isothermally a)(i)alongAB. (ii) alongCD b)(i)alongCD.(ii)along AB c) (i) alongOD.(ii) along PR d) (i) along RD.(ii)alongOR Ans. 17. The ratio of specific heats of a gas is 1.4 and the value of specific heat at constant pressure is 7.0 cal/mole° C. The difference between specific heat at constant pressure and specific heat at constant volume will be (in cal/mole° C) a) 1.4 b) 1.7 c) 5.0 d) 2.0 Ans. 18. The coefficient of linear expansion of a solid is L. The volume V of a cube of this solid on being heated by 1° C will change by a)VL b)3VL c)3L d)VL/3 Ans. 19. Two springs of equal length but having stiffness of 10 N/mm and 15 N/mm support a mass of 2 tonnes in series. Find the frequency of vibration a)12 √3Hz b)12 √10Hz c)12 √15 Hz d)12 √2Hz Ans. 20. Ratio of pitch circle diameter in millimeters to the number of teeth, is known as a) Module b) Circular pitch c) Diametral pitch d) Clearance Ans. 21. Two particles with masses in the ratio 1:4 are moving with equal kinetic energies. The magnitude of their linear momentums will conform to the ratio a)1:8 b) 1 :√2 c) √2:1 d)1:2 Ans. 22. Which of the following stresses are associated with the tightening of a nut on a stud? 1. Tensile stresses due to stretching of stud 2. Bending stresses of stud 3. Transverse shear stresses across threads 4. Torsional shear stresses in threads due to frictional resistance Select the correct answer using the codes given below: a) 1,2 and 3 b) 1,2and 4 c) 1,3 and 4 d) 2,3 and 4 Ans. 23. A flywheel weighs kg and has a radius of gyration of 100 cm. It is given a spin of 100 rpm about its horizontal axis. The whole assembly is rotating about a vertical axis at 6 rad/sec. The gyroscopic couple experienced will be a)2,000 kgm b) 19,620 kgm c)20,000kgm d) 1,962kgm Ans. 24. Determine the diameter of solid shaft which will transmit 90kw at 160 rpm, if the shear stress in the shaft is limited to 60 N/mm2 a)50mm b)6Omm c)77mm d)7Omm Ans. 25. A roller of weight W is rolled over the wooden block shown in the given figure. The pull required just to cause the said motion is a) W/2 b)√3W c) W d) 2 W Ans. 26. For one-dimensional isentropic flow in. a diverging passage, if the initial static pressure is P1, and the initial Mach number is M1 (M1 <1), then for the downstream flow a) M2< M1; P2 27. In a furnace made of bricks, Inside heat transfer coefficient 35 W/m2K Outside heat transfer coefficient =25 W/m2K Thermal conductivity of bricks (15 cm thick) = 0.15 W/mK The overall heat transfer coefficient (in W/m2K) will be closer to the a)Insideheat transfer coefficient b) Outside heat transfer coefficient c) Thermal conductivity of bricks d) Heat transfer coefficient based on the thermal conductivityof the bricks alone. Ans. 28. Two systems have the same wet bulb temperature of 200 C. System ‘A’ has Dry bulb temperature of 25°C since it has a relative humidity of 65%. System ‘B’ has a relative humidity of 30%. What will be its dry bulb temperature a) 33°C b) 25°C c)27°C d) 22°C Ans. 29. Four rods with different radii r and length l are connected to two reservoirs at different temperature. Which one of them will conduct most heat? a)r=2cm&l=2m b)r=lcm&l=1m c)r=2cm&l=½m d)r=½cm&l= ½m Ans. 30. A 1000 kg vehicle travelling at 80 m/s impacts a plunger attached to a piston-cylinder arrangement. If all of the energy of the vehicle is absorbed by the 20 kg of liquid contained in the cylinder, what is the maximum temperature rise of the liquid? (The specific heat of the liquid (I is 4.0 kJ/kg.°C) a)55°C b) 40°C c)45°C d)50°C Ans. 31. In the Van der Waal’s gas equation (ƿ+ )(v – b) = RT to constant ‘a’ is introduced to compensate for a) Reductioninspecific volume b) Inter-molecular forces c) Reduction in specific heat d) All of the above Ans. 32. The centrifugal tension in belts a) Increase power transmission upto certain speed and then decreases b) Increases power transmission c) Does not affectpowertransmission d) Reduces power transmission Ans. 33. In nodular iron, graphite is in the form of a) Spheroids b) Nodular carbide c) Flakes d) Cementite Ans. 34. Corrosion resistance of steel increases by addition of a) Vanadium, aluminium b) Sulpher, phosphorus, lead c) Chromium and nickel d) Tugsten, molybdenum, vanadium, chromium Ans. 35. Phenomenon of progressive extension of material with time at constant load is called a) Plasticity b) Creep c) Yield d) Breaking Ans. 36. Rivets are made of a) Soft material b) Ductile material c) Hard material d) Brittle material Ans. 37. Addition of copper to aluminium results in a) Precipitation hardening system b) Corrosion resistance c) Grain refinement d) High machinability Ans. 38. A Hooke’s joint is used to connect two a) Coplanar & Nonparallel shafts b) Non coplanar & Nonparallel shafts c) Coplanar & Parallelshafts d) All the 3 above Ans. 39. In a hardness test, L is load in kg, D is diameter of ball in mm and d is diameter of indentation in mm. Brincll Hardness Number is expressed by the equation a) BIIN = ( − 2− 2 b)BIIN = 2 ( − 2− 2 c) BIIN = ( − 2− 2 d)BIIN = 2 ( − 2− 2 Ans. 40. Circumferential anti longitudinal strains in the cylindrical boiler under internal steam pressure arc Є1 and Є2 respectively. Change in the volume of the boiler cylinder per unit volume will be a) Є12Є2 b) Є1Є22 c) 2Є1+ Є2 d) Є1+2Є2 Ans. Rest of the papers here I am attaching a pdf files please download it.
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