MU BE Entrance sample question and syllabus


Graduate School of Engineering 

Mid-West University 

Birendranagar, Surkhet 

Entrance Examination: BE (Civil), BE (Computer), and BE (Hydropower) 

FRAMEWORK AND CONTENTS FOR SYLLABUS 

Subject                                     Full Marks 

Mathematics                          40 

Physics                                     30 

Chemistry                                20 

English                                     10 

Exam Duration : 2 hours 

[Each question contains 1 Marks ]

For Online application form entrance.mu.edu.np

A.Mathematics     (40 Marks)

1. Set, Logic and Functions 

  1. Set, real number system, intervals, absolute value, logic, connectives, laws of logic
  2. Function, types of functions – injective, surjective, bijective, algebraic, trigonometric, exponential and logarithmic; Inverse of function, composite functions

2. Algebra 

  1. Matrices and determinants, types and properties, inverse of a matrix
  2. Complex numbers and Polynomial equations
  3. Sequence and series, Permutation and Combination
  4. Binomial theorem, exponential and logarithmic series

3. Trigonometry 

  1. Trigonometric equations and general values
  2. Inverse trigonometric functions, principal value
  3. Properties of triangles, in-centre, ortho-centre and circum-centre, solution of triangles 

4. Coordinate Geometry 

  1. Straight lines, pair of lines
  2. Circles, equations of circle in different forms, tangent and normal
  3. Conic sections: Parabola, Ellipse and Hyperbola, standard equations and simple properties
  4. Coordinates in space, Plane and its equation

5. Calculus 

  1. Limit and continuity of functions, indeterminate forms, L’Hospital’s rule
  2. Derivatives, rules of derivatives, geometrical & physical meanings, higher order derivatives, applications of derivative: tangent and normal, rate of change, maxima and minima
  3. Integration, linear properties, rules of integration, standard integrals, definite integral, applications of definite integral: area under a curve and area between two curves
  4. Differential equations, order and degree, differential equation of first order and first degree: variable separable method, homogeneous, linear and exact differential equations, integrating factor  

6. Vectors and their Products 

  1. Vectors in plane and space, algebra of vectors, linear combination of vectors, linearly dependent and independent set of vectors
  2. Product of two vectors, scalar and vector product of two vectors, scalar triple product

7. statistics and Probability 

  1. Measures of location and measures of dispersion
  2. Correlation and regression
  3. Basic terms of probability, conditional and compound probability, additive and multiplicative rules, Bayes’ theorem, binomial distribution

A.Physics                (30 Marks)

 1. Mechanics 

  1. Physical Quantities, Vector and Kinematics: Dimensions, Resolution and Polygon laws of Vector, Vector Algebra, Equations of Motions, Projectile Motion, Relative Motion
  2. Newton’s Laws of Motion and Friction: Conservation of linear momentum, Applications of Newton’s Laws in Equilibrium and Non-equilibrium, laws of Solid Friction and verification
  3. Work, Energy and Power: Work-Energy theorem, Kinetic and Potential energy, Conservation of Energy, Conservative and non-conservative forces, Elastic and inelastic collisions
  4. Circular motion, Gravitation and SHM: Centripetal force, Conical Pendulum, Banking of Track, Gravitational Potential, variation of g, Motion of satellite, Rocket launch technology, Energy in SHM, Spring -Mass system, simple Pendulum, Damped and Forced oscillation, resonance
  5. Rotational Dynamics: Moment of Inertia, Radius of Gyration, Rotational KE, Center of gravity and center of mass, Torque,   Conservation of Angular momentum
  6. Elasticity: Hook’s law, Young modulus, Bulk modulus, modulus of rigidity, Poissons’ ratio, elastic energy
  7. Fluid Mechanics: buoyancy, flotation, Archimedes’ principle, surface tension, capillarity and applications, viscosity, Newton, Stoke and Poiseuille’s formula, Reynold number, continuity equation, Bernoulli’s equation

2. Heat and Thermodynamics 

  1. Temperature and Quantity of Heat: Thermal Equilibrium, Specific heat, latent heat Method of Mixture, Measurement of specific heat and latent heat, Newton’s law of cooling, triple point
  2.  Thermal expansion: Expansion of Solid & Liquid, Measurement and Applications of expansions
  3. Transfer of Heat: Conduction, Convection, Radiation, Thermal Conductivity, Black body radiation, Stefan- Boltzmann law
  4. Thermal properties of Matter: Molecular Properties of matter, Kinetic Theory of gases, heat capacities of gases and solids
  5. Laws of Thermodynamics: First law, Heat and Work, relation of specific heat of gas, thermodynamics processes, Second law, Heat engine, efficiency, Carnot Cycle, Otto Cycle, Diesel cycle, Refrigerator, Entropy.

3. Geometric and Physical Optics 

  1. Reflection: Plane and Curved Mirror, Mirror Formula
  2. Refraction: Plane Surface, Critical Angle, Total Internal Reflection, Lateral shift, Prism, Minimum Deviation, Lenses, Lens Formula, Lens maker’s formula, Combination of lenses in contact, Optical Fiber
  3. Dispersion: Spectrum, Dispersive Power, Chromatic Aberration, Achromatism, Spherical Aberration, Scattering of light
  4. Nature and Propagation of Light: Huygen’s principle, Velocity of light
  5. Interference: Coherent sources, Young’s double slit experiment
  6. Diffraction: Fraunhoffer diffraction, Diffraction grating, Resolving power
  7. Polarization: Brewster’s law, Transverse nature of light, Polaroid

4. Waves and Sound

  1. Wave Motion: Travelling and Stationary wave
  2. Mechanical Waves: velocity of sound in solid, gas and liquid, effect of temperature, pressure, humidity
  3. Waves in Pipes and String: closed and Open pipes, Resonance, Resonance Tube, string, laws of vibration of fixed string
  4. Acoustic Phenomena: Pressure amplitude, intensity level, quality and pitch, Ultrasonic and Infrasonic, Doppler’s effect

5. Electricity & Magnetism 

  1. Electrostatics: Coulomb’s law, Electric field and Gauss law, Potential and potential gradient, Capacitors, combination of capacitors, types of capacitors, effect of dielectrics, Energy stored by capacitors, polarization and displacement
  2. DC Circuits: Ohm’s law, resistivity and conductivity, work and power, Galvanometer and Ohm meter, internal resistance, Joule’s law, Kirchhoff’s law and applications
  3. Thermoelectric Effect: Seebeck effect, Thermocouples, Peltier effect, Thermopile, Thomson effect
  4. Magnetic effect: Force on a conductor and charge, Torque, Hall’s effect, Biot-Savart’s law, Ampere’s law, Force between parallel conductors
  5. Magnetic properties of matter: Earth magnetism, magnetic materials, permeability, susceptibility, hysteresis
  6. Electromagnetic Induction: Faraday’s law, Induced emf, AC Generators, Self and mutual induction, energy stored by inductor, transformer
  7. Alternating Currents: RMS value, Phasor diagram of capacitance, inductance and resistance, Quality factor, Power factor

6. Modern Physics 

  1. Electrons:  Millikons’s experiment, Cathode rays, specific charge
  2. Photons & Quantization of Energy: Photoelectric effect, Plank’s constant, Bohr’s theory, spectral series, De Broglie theory, Uncertainty principle, X-ray and Bragg’s law, Laser
  3. Solids & Semiconductor Devices: Intrinsic and extrinsic semiconductors, P-N junction, Rectification, Zener diode, Transistor, Logic gates
  4. Radioactivity & Nuclear Reaction: Atomic mass, Isotopes, Nuclear density, Einstein’s mass energy relation, mass defect, fission & fusion, law of radioactive disintegration, carbon   dating, health hazard

6.5 Recent Trends in Physics 

  1. Particle Physics: Particle and anti-particle, Quarks, Lepton, Baryon, Mesons, Higgs Boson
  2. Universe: Big Bang and Hubble’s Law, Dark Matter, Gravitational Wave, Black Hole
  3.   Seismology: Pressure wave, Surface Wave, Internal wave
  4. Telecommunication: Radio, TV and Mobile, GPS and Remote sensing
  5.   Environment: Energy Crisis, Environment Pollution, Ozone Layer
  6. New Technology & Materials: Nano-technology, super conductor & Perfect conductor

A. Chemistry                (20 Marks)

1. Physical Chemistry 

  1. Chemical Arithmetic: Dalton’s atomic theory and Laws of Stoichiometry, Atomic mass and Molecular mass, Empirical molecular formula and limiting Reactants, Avogadro are Hypothesis and its applications and Equivalent masses.
  2. State of Matter: Gaseous state, liquid and solid states.
  3. Atomic Structure and Periodic Classification of Elements:
  4. Oxidation, Reduction and Equilibrium
  5. Volumetric Analysis,
  6. Ionic Equilibrium, Acid, Base and Salt
  7. Electrochemistry
  8. Energetic of Chemical Reaction, Chemical Kinetics, Chemical Bonding and Shape of Molecules

2. Inorganic Chemistry 

  1. Non-metal: Hydrogen, Oxygen, Ozone, Water, Nitrogen and its compounds, Halogen, Carbon, Phosphorous, sulphur, Noble gas and Environment pollution.
  2. Metals:  Metallurgical Principle, Alkali metal, Alkaline Earth metals, Coinage metals: Copper, Silver, Gold
  3. Extraction of Metal: Zinc and Mercury, Iron Compound

3. Organic Chemistry 

  1. Introduction: Fundamental principles, Purification of organic compounds, Nomenclature of Organic compounds, Structure isomerism and idea of reaction mechanism
  2. Hydrocarbons: Alkanes, Alkenes and Alkynes, Aromatic hydrocarbons
  3. Haloalkanes and Haloarenes
  4. Alcohols, Phenols and Ethers
  5. Aldehydes, Ketones, Carboxylic Acid and Derivatives, Aliphatic and Aromatic
  6. Nitro Compounds and Amines: Aromatic and Aliphatic

A. English                (10 Marks)

1. Vocabulary 

  1. Synonyms and antonyms
  2. Homonyms, homophones
  3. Word building, suffixes and prefixes
  4. Meaning of words in context
  5. Idioms and phrases

2. Grammar 

  1. Articles and possessives
  2. Pronouns, prepositions, adjectives, adverbs
  3. Tenses, modals, conditions
  4. Subject verb agreement
  5. Tag questions
  6. Sentence types and transformations
  7. Voice
  8. Direct and indirect narration

3. Reading Comprehension 

  1. Contents/ideas
  2. Reading between the lines
  3. Contextual clues
  4. Reconstruction (rewording)

4. Writing

  1. Punctuations
  2. Cohesive devices
  3. Coherence
  4. Discourse markers

5. Sounds of English 

  1. Phonemes
  2. Phonemics symbols
  3. Word stress
  4. Intonation


SAMPLE QUESTIONS

Mid-West University

Faculty of Engineering 

B.E. ENTRANCE EXAMINATION 

Full Marks: 100                          Time: 2 Hrs     

Select the best Alternative (30 * 1=30)


1) Which of the following word is ascented on its third syllable?

a) cosmology       b) cosmopolitan 

c) cosmetic          d) cosignatory 

2) The word ‘corrupt’ is pronounced as: 

 a) /kr/ b) /krpt/ c) /k£rpt/ d) /krpt/

3) The number of atoms of oxygen present in 11.2 litre of oxygen grs at NTP will have 

a) 12× 6.023×10 23     b) 2×6.023×1023 

c) 6.02310 2                 d) 1.6 1024 

4) The oxidation number of sulphur in H2SO5 will be

a) 8                  b )  7  

 c  ) 6                     d) 4.5

5) The equivalent weight of kmno4 basic medium is

a) Mol wt/6

 b) Mol wt/5

 c) Mol wt /1

6) The dimension of permittivity of a medium is 

a) M-1L-3I2 

b) M1L3I2 

c) MLTI-2 

d) MLT-2I

7) An object of mass m is revolving in a vertical circle of radius r. The tension in the object at the top of the vertical circle will be

a) mg 

b) mv2r+ mg 

c) mv2r 

d) mg- mv2r

8) When a metal sphere is heated, the percentage expansion is maximum for its 

a) area 

b) diameter

c) volume

 d) length

9) The latent heat energy of a substance signifies

a) decrease in the internal energy of the substance

b) increase in the temperature of the substance 

c) to produce the chemical changes in the substance 

d) increase in the internal energy of the substance

10) Let A= (-3, 2) and B= (-2,3) then A-B= 

a) [–3, 3] b) (–3, 3) 

c) [–3, –2] d) (–2, 2) 

11) If sinx= 12 and Cosx= -32 then x =

a) 2n+ p6 b) 2n– p6

c) 2n+ p3 d) 2n+ 5p6

12) If the equation x2

+2(k+2)x+9k = 0 has equal roots then k =

a) 1 or 4 b) -1 or -4 c) 1or -4 d) -1 or 4

13) The eccentricity of a hyperbola is

a) less than 1 b) equal to 1 

c) greater than 1 d) equal to zero

14) The term’ obesity means …………

a) curiosity b) observation 

c) unhealthy weight growth d) healthy weight growth 

15) 100 CC of centimolar H2SO4 50ml of decimolar HCl and 500CC of 0.012 molar KOH is mixed, 

the resultant solution will be 

a) accidec b) basic 

c) netural d) am phot ……..

16) A young boy requires 12000Kj energy per day. The amount of energy evoloved from 1 more of 

glucoss is 2808 KJ. What weight of glucose be needs for a week.

a) 769.64 gms b) 2.694 kg 

c) 5.39 kg d) 10.78 kg 

17) Two identical electric bulbs rated 1 KW; 220v are connected in series and the combination is 

connected to 200V supply line. The power dissipated in each bulb is around.

a) 50W b) 100W c) 200W d) 250W


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