Name of the Organisation : Vardhaman College of Engineering (vardhaman.org)
Type of Announcement : Four Year B. Tech I Semester Examinations Question Paper
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Four Year B. Tech I Semester Supplementary Examinations July - 2012
Note :
** Answer ONE question from each Unit
** All Questions Carry Equal Marks
** All parts of the question must be answered in one place only

Subject - Mathematics - I Time : 3 Hrs Marks : 75
Unit – I
a) Solve: (1+ y2) dx = (tan– 1 y – x) dy
b) Find the orthogonal trajectories of the family of cardioids r=a (1–cos?), where ‘a’ is the parameter.
Unit – II
a) Solve: (D2 + 6D + 9)y = 5x – log2.
b)Present mathematical expressions for amplitude and time period for a particle executing Simple Harmonic Motion. A particle is executing simple harmonic motion with amplitude 5 meters and time 4 seconds. Find the time required by the particle in passing between points which are at distance 4 and 2 meters from the centre of force and arc on the same side of it.
Unit – III
a) Find the minimum value of x2 + y2 + z2 given x + y + z = 3a
b) Verify Lagrange mean value theorem for f(x) = x3 – x2 – 5x + 3 in [0, 4]

Subject - Engineering Physics Time : 3 Hrs Marks : 75
Unit – I
1. a) Distinguish between Ionic and Covalent bonds in solids.
b) Explain with neat diagrams, how atoms are held together in a metallic bond.
2 a) Obtain the expressions for co-ordination number and atomic radius for SC,BCC and FCC lattices.
b) Describe the structure of ZnS
Unit – II
3. a) What are Miller indices? Mention the procedure to find Miller indices.
b) State and explain Bragg’s law.
c) Describe Power Method for the crystal structure determination
Unit – III
4. a) Explain the de-Broglies concept of matter waves and hence deduce the expression for de-Broglies wave length of matter waves.
b) Describe in detail G.P.Thomson’s experiment which verified the existence of matter waves.
c) An electron and photon each have a wave length of 2.0 A0. What are their momenta and energies?
Unit – IV
5. a) Define dielectric constant.
b) Define different kinds of polarization. Deduce the expression for electronic polarisability.
c) What is meant by superconductivity? Explain Meisner effect

Subject - Engineering Chemistry Time : 3 Hrs Marks : 75
Unit – I
1. a) What are secondary cells? Explain the construction and working of a lead acid cell.
b) Write explanatory notes on
(i) Primary cells (ii) Hydrogen – Oxygen fuel cell (iii) Applications of batteries
Unit – II
2. a) Define temporary and permanent hardness of water with relevant examples
b) Explain cold lime – soda process of purification of water
Unit – III
3. a) Write the types of polymerization with example
b) What are thermoplastic and thermosetting plastics? Mention few differences between them with relevant examples

Subject - Environmental Science Time : 3 Hrs Marks : 75
Unit-I
1. a) Define Environmental Science. Explain why Environmental Science is considered as inter-disciplinary subject.
b) What are the major causes and consequences of deforestation
Unit-II
2 a) Ecosystem changes with time in an orderly manner called as Ecological Succession. Elaborate this interesting process.
b) Each ecosystem has biotic and abiotic parts that are linked to each other. Explain the structural and functional components in an ecosystem.

See more relevant subject paper click here : http://kset.uni-mysore.ac.in/questio...%20Science.pdf