Probationary Engineer's exam Syllabus and papers

I am looking to appear in the examination for the post of Probationary Engineer conducted by BEL. So will you provide the syllabus and exam papers of the examination?

As you want to get exam papers and syllabus of the examination for the post of Probationary Engineer conducted by BEL, so here I am providing following exam papers and syllabus:

BEL Exam Papers and Syllabus

Engineering Mathematics

Linear Algebra:
Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.

Calculus:
Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.

Differential equations:
First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy's and Euler's equations, Initial and boundary value problems, Partial Differential Equations and variable separable method.

Complex variables:
Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent' series, Residue theorem, solution integrals.

Probability and Statistics:
Sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Discrete and continuous distributions, Poisson, Normal and Binomial distribution, Correlation and regression analysis.

Numerical Methods:
Solutions of non-linear algebraic equations, single and multi-step methods for differential equations.

Transform Theory:
Fourier transform, Laplace transform, Z-transform.

GENERAL APTITUDE(GA):
Verbal Ability: English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deduction.

Electronics and Communication Engineering

Networks: Network graphs:
matrices associated with graphs; incidence, fundamental cut set and fundamental circuit matrices. Solution methods: nodal and mesh analysis. Network theorems: superposition, Thevenin and Norton's maximum power transfer, Wye-Delta transformation. Steady state sinusoidal analysis using phasors. Linear constant coefficient differential equations; time domain analysis of simple RLC circuits, Solution of network equations using Laplace transform: frequency domain analysis of RLC circuits. 2-port network parameters: driving point and transfer functions. State equations for networks.

Electronic Devices:
Energy bands in silicon, intrinsic and extrinsic silicon. Carrier transport in silicon: diffusion current, drift current, mobility, and resistivity. Generation and recombination of carriers. p-n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, p-I-n and avalanche photo diode, Basics of LASERs. Device technology: integrated circuits fabrication process, oxidation, diffusion, ion implantation, photolithography, n-tub, p-tub and twin-tub CMOS process.

Analog Circuits:
Small Signal Equivalent circuits of diodes, BJTs, MOSFETs and analog CMOS. Simple diode circuits, clipping, clamping, rectifier. Biasing and bias stability of transistor and FET amplifiers. Amplifiers: single-and multi-stage, differential and operational, feedback, and power. Frequency response of amplifiers. Simple op-amp circuits. Filters. Sinusoidal oscillators; criterion for oscillation; single-transistor and op-amp configurations. Function generators and wave-shaping circuits, 555 Timers. Power supplies.

Digital circuits:
Boolean algebra, minimization of Boolean functions; logic gates; digital IC families (DTL, TTL, ECL, MOS, CMOS). Combinatorial circuits: arithmetic circuits, code converters, multiplexers, decoders, PROMs and PLAs. Sequential circuits: latches and flip-flops, counters and shift-registers. Sample and hold circuits, ADCs, DACs. Semiconductor memories. Microprocessor(8085): architecture, programming, memory and I/O interfacing.

Signals and Systems:
Definitions and properties of Laplace transform, continuous-time and discrete-time Fourier series, continuous-time and discrete-time Fourier Transform, DFT and FFT, z-transform. Sampling theorem. Linear Time-Invariant (LTI) Systems: definitions and properties; causality, stability, impulse response, convolution, poles and zeros, parallel and cascade structure, frequency response, group delay, phase delay. Signal transmission through LTI systems.

Control Systems:
Basic control system components; block diagrammatic description, reduction of block diagrams. Open loop and closed loop (feedback) systems and stability analysis of these systems. Signal flow graphs and their use in determining transfer functions of systems; transient and steady state analysis of LTI control systems and frequency response. Tools and techniques for LTI control system analysis: root loci, Routh-Hurwitz criterion, Bode and Nyquist plots. Control system compensators: elements of lead and lag compensation, elements of Proportional-Integral-Derivative (PID) control. State variable representation and solution of state equation of LTI control systems.

Communications:
Random signals and noise: probability, random variables, probability density function, autocorrelation, power spectral density. Analog communication systems: amplitude and angle modulation and demodulation systems, spectral analysis of these operations, superheterodyne receivers; elements of hardware, realizations of analog communication systems; signal-to-noise ratio (SNR) calculations for amplitude modulation (AM) and frequency modulation (FM) for low noise conditions. Fundamentals of information theory and channel capacity theorem. Digital communication systems: pulse code modulation (PCM), differential pulse code modulation (DPCM), digital modulation schemes: amplitude, phase and frequency shift keying schemes (ASK, PSK, FSK), matched filter receivers, bandwidth consideration and probability of error calculations for these schemes. Basics of TDMA, FDMA and CDMA and GSM.

Electromagnetics:
Elements of vector calculus: divergence and curl; Gauss' and Stokes' theorems, Maxwell's equations: differential and integral forms. Wave equation, Poynting vector. Plane waves: propagation through various media; reflection and refraction; phase and group velocity; skin depth. Transmission lines: characteristic impedance; impedance transformation; Smith chart; impedance matching; S parameters, pulse excitation. Waveguides: modes in rectangular waveguides; boundary conditions; cut-off frequencies; dispersion relations. Basics of propagation in dielectric waveguide and optical fibers. Basics of Antennas: Dipole antennas; radiation pattern; antenna gain.

Below I am providing you some questions of from question paper of BEL Probationary Engineer (Mechanical) Written Test:
Probationary Engineer's Exam Paper
1. Newton’s law of viscosity relates
A. Velocity gradient and rate of shear strain
B. Rate of shear deformation and shear stress
C. Shear deformation and shear stress
D. Pressure and volumetric strain
Ans: B

2. Calculation of meta-centric height of a floating body involves second moment of area.The axis about which this moment is to be calculated passes through the
A. Top horizontal surface of the body
B. Bottom horizontal surface of the body
C. Centre of gravity of the body
D. Centre of buoyancy
Ans: B

3. The buoyancy force is
A. Equal to volume of liquid displaced
B. Force necessary to maintain equilibrium of a submerged body
C. The resultant force acting on a floating body
D. The resultant force on a body due to the fluid surrounding it
Ans: D

4. Navier – stokes equations are useful in the analysis of
A. Turbulent flows
B. Vortex flows
C. Viscous flows
D. Rotatioal flows
Ans:C

5. When air is adiabatically saturated, the temperature attained is the
A. Dew point temperature
B. Dry bulb temperature
C. Wet bulb temperature
D. Apparatus Dew-point temperature
Ans: C

6. Air vessels are used in reciprocating pumps in order to
A. Increase the delivery head
B. Reduce suction head
C. Minimize delivery head fluctuation
D. Reduce accelerating head
Ans: D

7. A Kaplan turbine is a
A. Outward flow reaction turbine
B. Inward flow impulse turbine
C. Low head axial flow turbine
D. High head mixed flow turbine
Ans: C

8. Clapeyron’s equation is used for finding out the
A. Dryness fraction of steam only
B. Entropy of superheater vapour only
C. Specific volume at any temperature and pressure
D. Total heat of superheated steam only
Ans: C

9. In a single stage reciprocating air compressor, the work done on air to compress it from
suction pressure to delivery pressure will be minimum when the compression is
A. Isothermal process
B. Adiabatic process
C. Polytropic process
D. Constant pressure process
Ans: A

10. The function of economizer in a boiler is to
A. Superheat the steam
B. Reduce fuel consumption
C. Increase steam pressure
D. Maintain saturation temperature
Ans: B

11. Which one of the following represents open thermodynamic system?
A. Manual ice cream freezer
B. Centrifugal pump
C. Pressure cooker
D. Bomb calorimeter
Ans:B

12. Isentropic flow is
A. Irreversible adiabatic flow
B. Reversible adiabatic flow
C. Ideal fluid flow
D. Frictionless reversible flow
Ans: B

14. Lowest COP is of vapour
A.Compression cycle with superheated vapour
B. Compression cycle with dry compression
C. Compression cycle with wet compression
D. Absorption cycle
Ans: D

15. Air injection is IC engine refers to injection of
A. Air only
B. Liquid fuel only
C. liquid fuel and air
D. Supercharging air
Ans: B

16. In the SI engine, highest UBHC concentration is observed during
A. Maximum load
B. Acceleration
C. Deceleration
D. Idling
Ans: D

17. In the film established along a vertical plate during condensation of any vapour over the
plates, the temperature distribution curve is
A. Concave upwards
B. Concave downwards
C. Parabolic
D. Straight line
Ans: D

18. Ice is very close to a
A. Gray body
B. Black body
C. White body
D. Specular body
Ans: B

19. Which of the following is not an essential component of any refrigeration system, where refrigeration effect is produced by vaporization of refrigerant ?
A. Compressor
B. condenser
C.Evaporator
D. Expansion device
Ans: A

20. The centre of pressure for an inclined surface area
A. Lies below the centroid of the surface strain
B. Coincides with the centroid
C. Lies above the centroid of the surface
D. None of the above
Ans: (a)

BEL General Aptitude

1. The total number of digits used in numbering the pages of a book having 366 pages is
A. 732
B. 990
C.1098
D.1305
Ans:B
Explanation: Total number of digits= (No. of digits in 1- digit page nos. + No. of digits in 2-digit page nos. + No. of digits in 3- digit page nos.)
= (1 x 9 + 2 x 90 + 3 x 267) = (9 + 180 + 801) = 990

2. A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

A.30 days
B. 40 days
C. 60 days
D. 70 days
Ans:C

3. 39% of a number exceeds 19% of the same by 48. What is the number ?
A.180
B. 260
C. 240
D. 280
Ans:C

4. (√5+√3)/(√5-√3) is equal to :
A. 1
B. 2
C. 4-√15
D. 4+√15
Ans:C

5. A is the son of C; C and Q are sisters; Z is the mother of Q and P is the son of Z. Which of the following statements is true?
A. P and A are cousins
B. P is the maternal uncle of A
C. Q is the maternal grandfather of A
D. C and P are sisters
Ans:B

Explanation: C and Q are sisters and A is the son of C. Hence, C is the mother of A or Z is the mother Q.Hence, Z is the maternal grandmother of A. P is the son of Z. Hence, P is the maternal uncle of

6. QAR, RAS, SAT, TAU, _____
A. UAV
B. UAT
C. TAS
D. TAT
Ans:A
Explanation: In this series, the third letter is repeated as the first letter of the next segment. The middle letter, A, remains static. The third letters are in alphabetical order, beginning with R.

7. .”School” is related to “Education” in the same way as “court” is related to
A. Lawyer
B. Criminal
C. Justice
D.Jugde
Ans:C

8. The sum of the first 47 terms of the series 1/4+1/5-1/6-1/4-1/5+1/6+1/4+1/5-1/6… is:
A. 0
B. –(1/6)
C. 1/6
D. 1
Ans:B

9. The smallest value of m, for which 2m+1 is not a prime number, is:
A. 3
B. 4
C. 5
D. 6
Ans:B

10. How big will an angle of one and a half degree look through a glass that magnifies things three times?
A. 1 ½
B. 2 ½
C.3 ½
D. 4 ½
Ans: A. 1 ½ degrees
Explanation : The magnifying glass cannot increase the magnitude of an angle.

11. Nitin's age was equal to square of some number last year and the following year it would be cube of a number. If again Nitin's age has to be equal to the cube of some number, then for how long he will have to wait?
A. 10
B. 38
C. 39
D. 64
Ans:B
Explanation: Clearly, we have to first find two numbers whose difference is 2 and of which the smaller one is a perfect square and the bigger one a perfect cube.
Such numbers are 25 and 27.
Thus, Nitin is now 26 years old. Since the next perfect cube after 27 is 64,
so required time period = (64 - 26) years = 38 years.

12. 1, 6, 24, 60,120, 210
A. 336
B. 366
C. 330
D. 660
Ans: A. 336

13. A cylindrical container has a radius of eight inches with a height of three inches. Compute how many inches should be added to either the radius or height to give the same increase in volume?
A. 13
B. 16/3
C. 11/3
D. 17/3

Ans: B.16/3 inches

Explanation : Let x be the amount of increase. The volume will increase by the same amount if the radius increased or the height is increased.
So, the effect on increasing height is equal to the effect on increasing the radius.
i.e., (22/7)*8*8*(3+x) = (22/7)*(8+x)*(8+x)*3
Solving the quadratic equation we get the x = 0 or 16/3. The possible increase would be by 16/3 inches.

14. 12 men take 36 days to do a work while 12 women complete 3/4 th of the same work in 36 days.In how many days 10 men and 8 women together will complete the same work?
A. 6
B. 27
C. 12
D. Data inadequate
Ans:B

15.If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:
A. 53.33
B. 54.68
C. 55
D. None of these
Ans:B

__________________
Answered By StudyChaCha Member

please anyone send the syllabus for electrical of the post of probationary engineer in bel......kindly request anyone to mail me (frndkarthi1@gmail.com)