Second SEMESfER B.E DEGREE - - - -

Fint Sessional Eumioation (February 2012) SUB: ENGG. MATHEMATICS II (MAT 201)

Note : a. Answer all questions. b. All questions carry equal marks

1. Evaluate

Jl Jl-x y ex+y dy dx .

0

o , usmg the transfonnations x + y = u and y = uv.

2a. Find the extreme values of x4 + y4- 2(x- y)

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2b. Solve· y"-6y' + 9y = 0 • •

3a. Expand ex log( I +y) in the neighborhood of origin up to the third

degree terms in x and y.

3b. Fonn the differential equation of the family of curves y = ae3x + bex.

4a. Evaluate by changing the order of integration J J xy dy dx where R is R

the region bounded by the curves y = x2

, x + y = 2 and y = 0.

4b. Solve: (2xy + y- tan y) dx + (x2- x tan

2y + sec

2y)dy--0.

Sa. Solve: dy + (x sin2y- x3

cos2y) dx = 0.

Sb. Solve: dy = (sin(x + y)+cos(x + y)). dx ·

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DEPARTMENT OF ELECTRICAL & ELECTRONICS ENGINEERING

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Time: I hour

First ~111estcr B. Tccb. BASIC ELECTRJCAL TECHNOLOGY (ELEIOI)

Jaty-Novcalbcr 2012

First Sessional Test

Date: 01-09-2012

NOTE: Answer Q/1 questions.

Max. Marks: 20

I . Using network reduction techniques, find the resistanCe between A and 8 in the circuit shown in F~l . 4

2. For the circuit shown in Fig. 2, find the power delivered by the dependent voltage soorce using mesh current analysis. -5-

3. A magnetic circuit made of silicon steel is as shown in Fig. 3. The central limb has a cross sectional area of 800 mm2 and a coil of 600 turns. Each of the side limbs has an area of 500 mm2

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If the relative permeability of silicon steel is 1000, length of BE= 1 SO mm, length of BAG/DE • length of DCHJFE = 250 mm and leakage factor = 1.2, calculate the magnetizing current required to produce a flux of I m Wb in the I mm air gap. -7-

4, A series RC circuit is applied with a DC voltage of V volts at 1 = 0. Derive an expression for the voltage across the capacitor and charging cwrent for t > 0. Sketch the variations of voltage and current. -4-

A

8 Fig. I

1 Smm

T

A

G

I

0

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IOV-=-

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8

E .

F~o 3

10

+ Vx -

100 60

Fig_ 2

c

H

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F •

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M;uc M;uks -15

MANIPALINSTITUTE OF TECHNOLOGY~ MANIPAL

ENVIRONMENTAL STUDIES - 1\1 Sessional

Date- 31" August 2012

• Answer A L~uc!.ti,,n bricll~ '' ith most appropriate point-. • Dnm a neat lai'Cicd diagram '' ith ~ndl,,nh

•

Tim~ - 1 hour

Qt . A. Explain with a c.ase study the havoc created by the exot1c spec1es on the BIOdiversity. (2)

B. Describe the process of ecological succession. (3)

I Q2. A. What is land degradation? list out the demerits of deforestat•on.

B.Wtth a neat sketch explain hydrological cycle.

Q3. A. Explain genetic biodiversity and its significance.

8 . Descnbe the two types of food cham with an example each.

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(2)

(3)

(3)

(2)

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Depaa tment of Chemistry, M.l. T. ManipaJ II Sem.B.Tech. Sessional Test-I

Subject: Engg.Cbemistry(CHM-1 01) Date: Time: Mu.Marks:20

1 A. Give reason for the following;

a. Saturated calomel electrode cannot be used above 50°C.

b. Linear polymers exhibit high plastic defonnation than cross linked polymers

c. Glass electrode is highly resistant to poisoning.

B. Differentiate between the following;

a. solution and suspension polymerization techniques.

b. plastic and elastic defonnation processes . (3+2)

2 A. An electrochemical cell consists ofCu electrode dipped in 0.01 M CuS04 and Ag ·· ·

electrode dipped in 0.1 M AgN03. Write the cell representation, cell reaction and calculate

the emf at 298 K. ~. Cu2+ I Cu = 0.34 V and E0, Ag +I Ag = 0.80 V)

B. ( i) What is vulcanization? Explain vulcanization process involved in the fonnation of

vulcanized silicone rubber.

(ii) Justify the statement; Fillers are used in compounding of plastics

3 A. Explain the free radical mechanism for polymerization of propene. .

B. ( i) Defme single electrode potential. Discuss the origin of electrode potential.

( ii) Explain the significance of glass transition temperature.

4 A (.i) Descn"be the construction and working of Weston cadmium standard cell.

( ii) Explain the potentiometric method of e.m.f measurement.

B. Give the method of preparation and uses of Resols .

(2+2+1)

(2+2+1)

(2+2+1)

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MANIP AL INSTITUU OF TECHNOLOGY (Constituent Institute ofManipal University)

MANIPAL-576104

J 11' 1 lJ '-"" I

FIRST SEMESTER B.E DEGREE I" SESSIONAL EXAMINATION SUBJECf: CSE-101 PROBLEM SOLVING USING COMPUTERS (PSUC)

Time: 1 Hour (30-02-2012, 2.45 PM to 3.45 PM)

Instructions to Candidates • Answer ALL four full questions in ORDER • Indicate all the steps where ever necessary. • Do not seek any clarification from invigilator.

1. (a) Give any 4 functions of a control unit in a computer.

(b) Convert the following with all steps shown dearly: (i) 1FOC16 to Octal

(ii) 29.8lo to Binary

(c) Draw the flowchart for finding the number of digits of a given n-digit number.

Max. Marks: 20

(2 marks)

(2 marks)

(1 marks)

2. (a) Write a complete C++ program which takes seconds as input and converts it into hours, minutes

and seconds. (Eg. 3660 seconds=1 Hour(s) 1Min(s) 0 Second(s)) (3 marks)

I (b) Give the output of the following program (clearly show all the steps how the expressions are

evaluated). (2 marks) #include<iostream.h>

void main()

{ cout«6 + 2 • (3 - 4} /2«endl;

cout«20 I (3 + 5) % 2«endl;

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3. (a) • • Explain typedefwith an appropnate example.

l (b) Write the output of the following error free f Ode

void main () {

}

CSE 101

unsigned lnt x = 10, y = lO,a=O,b=O,c=O;

a .. xI y;

b=x«l;

e=y>>l; cout «a«endl«b<<endt«c;

t • ' r

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(2 marks) •

(3 marks)

P:> PI' 1 ,, '

J

--~-~-.... --=---------- --···· ·-- ·-

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a) Check whether the following code snippet will give output or not? If not state what error would arise and give reason for the same. (2 marks)

lf(a>b}

cout<<" A Is greater" «endl;

cout<<" A Is greater" «end I; else

{ I

cout<< .. B Is greater"«endl;

cout<<"B Is greater"«endl;

} . f

b) Give the syntax of switch statement and explain with an appropriate example.

c) Write the output of the following error free code.

lnt a=O;

lf(a=O)

cout<<"HEUO";

else

cout<<"MIT";

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(2 mark)

(1 mark)

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