Important Topics for semester Exam Semester 1 ( All Branches ) - Mumbai University

**Note : This are based on the previous year papers data **

## ENGINEERING MATHEMATICS-1

1.Types of Matrices (Symmetric, Skew Symmetric, Hermitian, Skew Hermitian, Unitary, Orthogonal Matrices and Properties of Matrices). (10M) (Any 2 of them)

2. Eulers Theorem on Homogeneous functions with two and three independent variables (with proof) & Deductions from Eulers Theorem (10M)

3. Maxima & Minima of a function of two independent variables (10M)

4. Encoding & Decoding Matrix (5M)

5. Scilab Programming a) Gauss Elimination Method b) Gauss Jacobi Iteration Method c) Gauss Seidel Iteration Method (10M)

6. Reduction to normal form and PAQ form (5M)

7. De Moivre's Theorem ( 5 M)

8. Expansion of Sin(n), Cos(n) a) In terms of Sines and Cosines of multiples b) In Powers of Sin,Cos. (5 M)

9. Solutions of Transcendental Equations a) Newton Raphson Method b) Regula Falsi Methods

10. Leibnitz's Theorem with proof (5 M)

## ENGINEERING CHEMISTRY-1

1. Distinguish between Thermoplastic & Thermosetting polymers (5M)

2. Numericals on Hardness of Water (5M) 3. Limitations of Phase rule (5M)

4. Explain Reverse Osmosis (5M)

5. Define Fabrication (5M)

6. Explain the use of polymers in medicine & surgery (5M)

7. Write a note on Reduced Phase rule (5M)

8. Discuss the Triple Point in a one component system (5M)

9. Define Flash point & Fire point (5M)

10. Properties & Uses of PMMA and Kevlar (5M)

11. Short Notes on BOD & COD (5M)

12. Explain ion-Exchange process (5M)

13. Explain Benzene & Pyrrole (5M)

14. Define Aromaticity & Huckel's Rule (5M)

## ENGINEERING MECHANICS

1. Coplanar system of forces (General Resultant) (5M)

2. Equilibrium in the Coplanar system (5M)

3. Coplanar system (Concurrent Force) (5M)

4. Basic concept of Friction (5M)

5. Velocity analysis of rigid body using ICR Method (5M)

6. Location of ICR for 2 Link Mechanisms (5M)

7. D' Alemberts Principle (5M)

8. Law of conservation of momentum (5M)

9. Application of Work Energy Principle (10M)

10. Numericals on motion curves (a-t, v-t ,s-t ) ( 5M)

## BASIC ELECTRICAL ENGINEERING

1. Superposition Theorem (5-10 M)

2. Nortons Theorem (5-10 M)

3. Maximum Power Transfer Theorem (5-10 M)

4. Relationship between phase and line currents and voltages ( 5 M)

5. Equivalent Circuit or OC & SC Test or Regulation & ) Efficiency (10 M)

6. Measurement of power by two wattmeter methods (10 M)

7. Mesh analysis (5-10 M) 8. Construction & Classification of DC Machines (5 M)

9. Star & Delta Connections (Balanced load) ( 10 M)

10. R-L, R-C and R-L-C series and parallel circuits, phasor diagrams (10 M)

11. Principle of operation of DC Generators & DC Motors (5M)

12. Transformer on NO Load & ON Load ( 10M)

## ENGINEERING PHYSICS-1

**'QUANTUM PHYSICS:- **

- De Broglie Hypothesis
- Heisenberg's Uncertainity Principle
- Non-existence of electron in nucleus
- Schrodinger's time dependent/independent wave equation
- Partice trapped in one dimensional potential well
- Davison & Germer Experiment

**'CRYSTALLOGRAPHY:- **

- Miller Indices (Numerical)
- X-Ray Diffraction & Braggs Law
- Braggs Diffractometer

**'SEMI CONDUCTOR PHYSICS **

- Photovoltaic Cell
- Hall Effect
- Fermi Level & Fermi Dirac Distribution
- Fermi Level in Intrinsic & Extrinsic semiconductor
- P-N junction diode ( Unbias, Forward bias, Reverse bias )

**"INTERFERENCE IN THIN FILM **

- Interference in constant film thickness ( Due to reflected and transmitted light )
- Origin of colours in Thin films
- Wedge shaped films (Numerical + Derivation)
- Newton's Rings (Numerical + Derivation)
- Thickness of thin wire
- Radius of curvature of lens
- Antireflecting films & Highly reflecting films.

**'SUPERCONDUCTORS & SUPERCAPACITORS **

- Critical Temperature & Magnetic field
- Meissners Effect
- Type 1, 2 & High Tc Superconductors
- Energy Density & Power Density

**'ENGINEERING MATERIALS & APPLICATIONS **

- Nematic, Smectic & Cholesteric phases (Liquid Crystals)
- Multiferroics
- GMR & CMR Materials (Magnetoresistive Oxides)