Subject Name : - Maths Faculty Name: Dr. Dilip Das & Dr. Subhashis

Sem 1st

Applied Mathematics (300114(14) –

ASSIGNMENT 1

1. Find the rank of matrix by reducing to normal form:

2. Find the rank of the following matrix:

3. Find the non-singular matrices P and Q such that PAQ is in the normal form for the matrix:

and hence find the rank of A.

4. Test for consistency and solve:

5. Investigate the values of and so that the equation:

have (i) no solution (ii) a unique solution and (iii) infinite number of solutions.

6. show that the equation

do

not have a solution unless

7. for what value of the equations

have a solution and

solve them completely in each case.

8. Find the Eigen values and Eigen vectors of the matrix

9. Verify the Cayley Hamilton theorem and hence find A-1for the matrix

10.Find the matrix represented by the polynomial

where matrix

ASSIGNMENT 2

1. Find the nth derivative of (i) . (ii) .

2. If prove that .3. If , then prove that:

.

4. If , prove that

.Find the value of yn at the point x = 0.

5. If , prove that and

. Also find .

6. Using Taylor’s series expand sin x in powers of .Hence find the

value of correct to 4 decimal

7. Find the first three terms in the expansion of by Maclaurin’s theorem.

8. Use Taylor’s series to prove that

.., ,

where

9. Trace the curve:

10.. Trace the curve:

ASSIGNMENT 3

1. (a)Find the first and second partial derivatives of .

(b) If , prove that .

2. If , show that : .

3. If , prove that:

.

4. if what value of n will make

5. If and V , prove that:6. A rectangular box open at the top is to have volume of 32cu.cm. Find the

dimension of the box requiring least material for its construction. (b). Divide 24 into three parts such that the continued product of the first, square of thesecond and the cube of the third may be maximum.7. Using the method of differentiation under the integral sign evaluate

.

8. Using the method of differentiation under the integral sign evaluate

. And hence show that

9. Using the method of differentiation under the integral sign, prove that

Verify the result by direct integration.

10.Show that of all rectangular parallelepiped of given surface cube has the maximum volume.

ASSIGNMENT 4

1. Solve 2. Solve

3. Solve the differential equation: 4. Solve:

5. Find the integrating factor and solve: .

6. Solve the equation .

7. A pipe 20cm in diameter contains steam of 200oC. It is covered by a layer of insulations 6cm thick and thermal conductivity 0.0003. If the temperature of the outer surface is 30oC, find the heat loss per hour from two meter length of pipe.

8. The equation of e.m.f in terms of current I for an electrical circuit having

resistance R and condenser of capacity C in series is Find the

current I at any time t when .9. A resistance R in a series with inductance L is shunted by an equal

resistance R with capacity C. An alternating e.m.fEsinpt produces currents i1and i2 in two branches. If initially there is no current determine i1 and i2

from the equations:

Verify that if , the total current i1+ i2 will be .

10.Solve the equation

ASSIGNMENT 5

1. Find the reduction formula for . Hence evaluate .

2. Obtain a reduction formula for . Hence evaluate

.

3. If when . Prove that

4. Find the entire length of the cardioid . Also show that the upper half is bisected by

5. Prove that the volume of a sphere of radius ais .

6. Find the volume of the solid generated by revolving the ellipse

about the major axis.

7. Prove that area common to parabolas and is .

8. Find the volume of the solid generated by revolving the ellipse

about the minor axis.9. Find the M.I of the first quadrant of the circle (where the surface

density varies as xy) about x-axis.10.Find the centre of gravity of the arc of curve lying in the first

quadrant.

Subject Name : - EEEFaculty Name: Mrs. Payal Roy

Sem 1st

ASSIGNMENT QUESTIONS OF EEE

UNIT 1

1. Calculate the direction and magnitude of the current through the 5Ω resistor between points A and B by using :- (i) Loop method (ii) Nodal Method

2. Find the current in different branch of the network shown in fig using superposition theorem?

3. Find the current through the resistance of 50Ω connected between b and d by Thevenin’s theorem in the network of fig?

4. For the network shown below draw the Norton’s equivalent circuit and determine the current flowing through 18.75Ω resistor?

5. In the circuit shown in figure below find the resistance between terminals A and B. All values of resistance are in ohms?

UNIT – II

1. Find an expression of current flowing and calculate power in a series R, L circuit values of R = 50Ω and L = 0.159H when a voltage represented by v = 283sin 100πt is applied.

2. A black box contains a two element series circuit. A voltage of (40 – 30j) V drives a current of (4+j3) A in the circuit. What are the values of the element? Supply frequency is 50 Hz.

3. A voltage v(t) = 141.4 sin(314t + 100)is applied to a circuit and a steady current is given by i(t) = 14.4 sin(314t – 200)is found to flow through it determine: (i) The power factor of the circuit, (ii) The power delivered to the circuit and (iii) Draw the phasor diagram

4. Determine the current draw by the circuit shown in fig when a voltage of 200 V is applied across the same.

5. Two impedance Z1 = 100+j110 Ω and Z2 = 150-j157 Ω are connected in parallel across 200 V, 50 Hz supply. Find: (i) branch current I1 and I2 (ii) Total current I (iii) Total power.

UNIT – III

1. Three similar choke coils are connected in star to three phase balance supply. If line current is 10 A total power 24 KW and volt amp input 30 KVA. Find line and phase voltage, reactive volt amp input and R & X of coil.

2. Calculate the current flowing into each terminal and in each phase of the winding of a 3Ø delta connected induction motor developing output of 250 HP at 230 V between the terminal at a power factor of 0.75 and efficiency of 85%?

3. An iron ring has a cross sectional area of 3 cm2 and mean diameter 25 cm. An air gap of 0.4 mm has been cut across the section of ring. The ring is wound with a coil of 200 turns carrying current of 2 A. If the total magnetic flux is 0.24 mwb. Find relative permeability µr of iron.

4. An iron ring of 300mm2 C/S mean length of circular path of 500 mm. It has a constant relative permeability of 1200. For a certain current through magnetizing coil the flux produced is 250 mwb. Find the flux produced for the same current if a radial air gap of 1 mm is to cut into the ring?

5. A series magnetic circuit has an iron path of length 50 cm and an air gap of 1 mm. The cross sectional area of iron is 6 cm2 and coil wound on iron has 400 turns. Determine the current required to produce a flux of 0.9 mwb in circuit. The points on magnetizing curve of iron are given.Flux density (T) 1.2 1.35 1.45 1.55H (At/m) 500 1000 2000 4500

UNIT – IV

1. An 8 pole d.c. shunt generator has 778 wave connected armature conductors running at 500rpm. Supplies a load of 12.5Ω resistance at a terminal voltage of 250 V. The armature resistance is 0.24Ω and the field resistance is 250Ω. Find out the armature current , the induced emf and the flux per pole.

2. A 600KVA, 1 – Ø transformer has an efficiency of 92 %, both full load and half load at unity power factor. Determine its efficiency at 60 % of full load at 0.8 PF lag.

3. Write the application of DC Generator. The armature of a 12 pole dc shunt generator has 50 slots and is wave wound with 12 conductors per slot. The generator in running at a speed of 625 rpm and supplies a resistive load of 15Ω at a terminal voltage of 300 V. The armature resistance is 0.5Ω and field resistance is 60Ω. Find the armature current, the generated emf and flux per pole.

4. A 200KVA transformer has an efficiency of 98% at full load. If the maximum efficiency occurs at 75% of full load, calculate the efficiency at half load. Assume negligible magnetising current and pf at 0.8at all load.

5. A 40 KVA transformer has a core loss of 450 W, and full load copper loss of 850 W. If the power factor of the load is 0.8, calculate (i) the full load efficiency, (ii) the maximum efficiency and (iii) the load in kva at which the maximum the maximum efficiency occurs.

UNIT – V

1. What are shunts and multiplier? What is their necessity? Using a circuit diagram, find the value of a shunt and multiplier required to convert a basic meter with internal resistance Rm into a ammeter and voltmeter respectively?

2. With the help of a neat diagram, explain the construction, principle and working of a PMMC instrument. Derive its torque equation?

3. The torque of an ammeter varies as the square of the current through it. If the current of 10 A produces a deflection of 45o. What deflection will occur for a current of 5 A when the instrument is:(i) spring controlled(ii) gravity controlled

4. A moving coil instrument has a resistance of 10 Ω and gives a full scale deflection when carrying of 50 mA. Show how it can be adopted to measure voltage upto 750 V and current upto 100A.

5. A PMMC instrument current has the following parameters: B = 10 x 10-1 wb/m2, N = 200 turns, l = 16mm, b = 16mm, Kc = 12 x 10-9 Nm/radian. Calculate the deflection of the galvanometer when current of 1µA flows through it.

Subject Name : - Engg. Graphics Faculty Name: Mr. Sanjay Gupta

Sem 1st

QUESTION BANK ENGG. GRAPHICS

Assignment-011. A room of 1728 m3 volume is shown by a cube of 216 cm3 volumes. Find RF and

construct a plain scale to measure up to 42m. Mark a distance of 22m on the scale.2. Distance between Delhi and Agra is 200km. In a railway map it is represented by a line

5cm long. Find its RF. Draw diagonal scale to show single kilometer and maximum 600 km. Indicate on it following distance 1) 222km. 2) 336km. 3) 459km. 4) 569km.

3. On a map the distance between two points is 14cm. The real distance between them is 20km. draw a diagonal scale of this map to read kilometer and hectometers and to measure up to 25km. Show a distance of 17.6 km on this scale.

4. A rectangular plot of land measuring 1.28 hectors is represented on a map by a similar rectangle of 8 sq cm. Calculate RF of the scale. Draw a diagonal scale to read single meter. Show a distance of 438 m on it. (Hint: - 1 hector = 10,000 sq meter).

5. A point A is situated in the first quadrant. Its shortest distance from the intersection point of H.P., V.P. and auxiliary plane is 60mm and it is equidistant from the principle planes. Draw the projections of the point and determine its distance from principle planes.

6. Two points A and B are in the H.P. The point A is 30mm in front of the V.P. while B is behind the V.P. The distance between their projectors is 75mm and the line joining their top views makes an angle of 45º with xy. Find distance of the point B from the V.P.

Assignment-02

7. Line AB 75mm long makes 450inclination with VP, while its FV makes 550. End A is 10 mm above HP and 15mm in front of VP. If line is in 1st quadrant. Draw its projections and find its inclination with HP.

8. FV of a line AB is 500 inclined to xy and measures 55 mm long while it’s TV is 600

inclined to xy line. If end A is 10 mm above HP and 15 mm in front of VP, draw its projections, find TL, inclinations of line with HP & VP. Show its traces.

9. A line PQ is 75mm long , has one end A in VP. Other end B is 15mm above HP and 50mm in front of VP. Draw the projections of the line when sum of its inclinations with

HP & VP is 900, means it is lying in a profile plane. Find true angles with reference planes and its traces.

10. Draw the projection of a line AB, 90mm long. Its mid-point M being 50mm above the HP and 40mm in front of VP. The end A is 20mm above the HP and 10mm in front of VP. Show the traces and the inclinations of the line with HP & VP.

11. A line AB, 80 mm long, makes an angle of 600 with the H.P. and lies in an auxiliary vertical plane (A.V.P.) which makes an angle of 450 with the V.P. Its end A is 10 mm away from both the H.P. and V.P. Draw the projections of AB and determine (i) its true inclination with V.P. and (ii) its traces.

12. A room of size 6.5m x 5m x 3.5m high. An electric bulb hangs 1m below the center of ceiling. A switch is placed in one of the corners of the room, 1.5m above the flooring. Draw the projections and determine the real distance between the bulb and switch.

13. A picture frame 2m wide and 1m tall is resting on horizontal wall railing makes 350

inclination with wall .it is attached to a hook in the wall by two strings. The hook is 1.5 m above wall railing. Determine length of each chain and true angle between them.

14. Two mangos on a tree A & B are 1.5 m and 3.00 m above ground and those are 1.2 m & 1.5 m from a 0.3 m thick wall but on opposite side of it. if the distance measured between them along the ground and parallel to wall is 2.6 m , Then find real distance between them by drawing their projections.

Assignment-03

15. Draw the projections of a regular pentagon of 40mm side, having its surface inclined at 300 to the HP and a side is in the HP and inclined at 600 to the VP.

16. A square lamina ABCD of side 50mm has the diagonal AC inclined 450 to the H.P. and diagonal BD inclined at 300 to V.P. Draw its projections.

17. A circular plate of negligible thickness and 50mm diameter appears as an ellipse in the front view, having its major axis 50mm long and minor axis 30mm long. Draw its top view when the major axis of the ellipse is horizontal.

18. A square pyramid, edge of base 30mm and axis 45mm long has one of its triangular faces on the horizontal plane and the edge of the base contained by that face makes an angle of 450 with the VP. Draw its projections when the apex is nearer to HP than the base.

19. A hexagonal prism, base 25mm side and axis 60mm long has an edge of the base parallel to HP and inclined at 450 to the VP. Its axis makes an angle of 600 with the HP. Draw its projections.

Draw the projections of a cone, base 30mm and axis 50mm long, lying on a generator on the ground with thetop view of axis makes an angle if 450 with the VP.

20. A hexagonal pyramid of height 65mm and base side 25mm is resting on its base on HP with one of its base side parallel to VP. It is cut by a section plane inclined at 60 0 to HP and passes 40mm above the base along the axis. Draw the FV, sectional top view and true shape of the section.

21. A cone, base diameter 75mm and axis 80mm long is resting on its base on HP. It is cut by a section plane perpendicular to the VP and parallel to and 12mm away from one of its end generators. Draw its FV, sectional top view and true shape of the section.

22. A cylinder of 40mm diameter, 60mm length and having its axis vertical is cut by a section plane perpendicular to the VP and inclined at 450 to the HP and intersecting the axis 32mm above the base. Draw its FV, sectional top view, sectional side view and true shape of the section.

23. A right cylinder of 40 mm diameter and 55 mm height of axis is cut by a section plane inclined at 30˚ to H.P. and passes 18 mm from base along the axis. Draw the development of the truncated cylinder.

Assignment-0424. Draw the development of the lateral surface of the part P of the cone front view of which

is shown in figure.

25. Draw the development of the lateral surface of the part P of the pyramid, the F.V of which is shown in figure. Which is a Pentagonal pyramid, one side of the base parallel to the VP.

26. Draw isometric view of the orthographic projections view of the object is as follows:

27. Draw isometric view of the below given figure whose front view and top view is same.

6cm

6cm

3cm

3cm

28. Draw the isometric view when orthographic view of the object is as follows:

6cm 6cm

6cm

6cm

Assignment-05

30 The distance between A and B is 100mm,a point p is moving in such a way that the sum of the distance from A and B is always same and equal to 140mm. Draw tangent and normal at point 30mm above AB.

31 The foci of an ellipse are 90mm apart and the minor axis is 65mm long. Determine the length of the major axis and draw half of the ellipse by oblong method and half by concentric circle.

32 A stone is thrown from a building of 7 m high and at its highest flight it just crosses a palm tree 14 m high. Trace the path of the stone, if the distance between the building and the tree measured along the ground is 3.5 m. Also find the distance of the stone from building where it touches the ground.

33 Draw a rectangle having its sides 125 mm and 75 mm long. Inscribe two parabolas in it with their axis bisecting each other.

34 The distance between A and B is 100mm. Trace the complete path of a point p moving in such a way that the difference between the distances from A and B is always same and equal to 50mm. Draw tangent and normal at point 30mm above AB.

35 A circle of 50 mm diameter rolls on a straight line without slipping. Trace the locus of a point on the circumference of a circle for one revolution. Name the curve. Also draw the tangent and normal to the curve at a point 33 mm above the straight line and the ascending side of the curve.

36 A circle of 50mm diameter rolls on the circumference of another circle of 175mm and outside it. Trace the locus of a point on the circumference of the rolling circle for one complete revolution. Name the curve. Draw a tangent and a normal to the curve at a point 125mm from the centre of the directing circle.

37 Show by means of drawing that if the diameter of the rolling circle is half the diameter of a directing circle the hypocycloid is a straight line. Take the diameter of rolling circle 50 mm.

38 Draw the locus of the end point of a cable unwinding itself from a drum of 40 mm diameter such that the unwound cable is always taut. Also draw a tangent and normal to it at a point 100 mm from the centre of the circle.

39 An inelastic string 145mm long has its one end attached to the circumference of a circular disc of 40mm diameter. Draw the curve traced out by the other end of the string, when it is completely wound around the disc, keeping the string always tight.

40 One end of an inelastic thread of 120mm length is attached to one corner of a regular hexagonal disc having a side of 25mm. Draw the curve traced out by the other end of the thread when it is completely wound along the periphery of the disc, keeping the thread always tight. Name the curve.

Subject Name : - Applied Chemistry Faculty Name: Dr. Preeti Nand Kumar

Sem 1st

APPLIED CHEMISTRY

IMPORTANT QUESTIONS –

ASSIGNMENT I: WATER TREATMENT

1. (a) Define hardness? Write the different types of hardness?

b) Give the relationship between various units of hardness.

c) What is degree of Hardness?

2. A) what are the major boiler problems caused by the use of hard water? What are the

Disadvantages, how they can be minimized? Write any one of the boiler problem in

Detail?

b). Write notes on: - Caustic Embrittlement and Boiler Corrosion

3. What do you mean by internal conditioning of boiler feed water?

4. Describe lime soda process. How water is conditioned by this process. Explain

Diagrammatic set up, its principle & working.

5. What is zeolite? How they function in removing hardness of water. Explain in detail with

Diagram?

6. What is ion exchange process ? How demineralization of water is carried out?

7. What is alkalinity? How it is determined experimentally?

8. Write notes on Break point chlorination?

ASSIGNMENT II:

FUELS AND COMBUSTION

1. What is proximate analysis? How is proximate analysis carried out? Write its significance?

2. Explain the ultimate analysis of coal. How is it carried out?

3. What is calorific value? Give its experimental determination by Bomb calorimeter. What is

Dulong’s formula?

4. Compare the high temperature and low temperature carbonization?

5. Narrate Ottohoffmann’s by- product’s oven process for the manufacture of coke. Also give an

Account of the recovery of by-products?

6. Define knocking, how knocking is related with chemical combustion?

7. Write short notes on – octane number, how it is related to the chemical structure of fuel. Write

The significance. Also explain Cetane number and its significance.

8. What is flue gas? Explain with the help of a diagram how the flue gas analysis is carried out

Using Orsat apparatus.

ASSIGNMENT III:

CORROSION AND BATTERIES

1. Describe electrochemical theory of corrosion? Give the mechanism of corrosion.

2. Explain the factors affecting corrosion.

3. Write short notes on- Dry corrosion, waterline corrosion, and atmospheric corrosion.

4. Write short notes on- Pitting corrosion, galvanic corrosion, and microbial corrosion

5. Discuss the protective measures against corrosion.

6. Define electrochemical or fuel cell. Explain the construction and working of hydrogen-oxygen

Fuel?

7. Give an account of Solar Cell and primary cell.

8. Write charging and discharging of lead storage battery.

ASSIGNMENT IV

CEMENTS, LUBRICANTS & POLYMERS,

1. Describe the manufacture of Portland cement with the flow chart, composition of cement, ISI specification.

2. What is setting and hardening of cement, write all reaction involved in setting and hardening

Process.

3. What is lubrication? Explain the mechanism of fluid film lubrication?

4. Write short notes on – Boundary lubrication and extreme pressure lubrication.

5. Differentiate between thermoplastic and thermosetting resin.

6. Write preparation, properties and uses of TEFLON, PVC, and PMMA.

7. Write preparation, properties and uses of BAKELITE, NYLON 66.

8. What is vulcanization of rubber; Write the mechanism of this process.

ASSIGNMENT V:

EXPLOSIVES AND INDUSTRIAL CHEMICALS

1. Write preparation, properties and uses of Ammonium nitrate, Ammonium sulphate,

Acrylonitrile, benzene,

2. Write preparation, properties and uses of Ethyl alcohol, Glycerol, Chloroform, Carbon

Tetrachloride

3. What are explosives describe the characteristics and uses of explosives?

4. Write the preparation of TNT, TNB.

5. Write the preparation of RDX, dynamite, trinitroglycerine.

6. What is oxygen balance, calculate the oxygen balance of TNT, TNB, RDX, dynamite,

Trinitroglycerine, ammonium nitrate.

7. What are the characteristics of propellants? Give the classification of propellants.

8. Explain the term detonation, how detonators are used in conjunction with high explosives.

***********************************

Subject Name : - English Faculty Name: Dr. Bindu Jacob

Sem 1st

PROFESSIONAL COMMUNICATION IN ENGLISHSub. Code 300111(46)ASSIGNMENT 11. Define communication with the help of diagram?2. What are the objectives of communication?3. What are the 7’Cs of communication?4. What are the steps to be kept in mind to make communication effective?5. What is Non-Verbal communication? Explain its types.6. Explain the barriers to effective communication?

7. What is Semantic Gap?8. Describe Grapevine communication?

9. Explain Upward &Downward communication with its merits &demerits.

ASSIGNMENT 21. What is Business Communication?2. Write the elements of letter writing? 3. Apply for the post of Software Engineer with a detailed Resume.

4. Enumerate the difference between a Tender & a Quotation. 5. As the librarian of the college invite a quotation for the books required for the college library. 6. What is a Précis? Write the do’s& don’ts of précis?7. What are the ABC principles of précis writing? 8. What is a Report? Describe in brief the front elements of a Report.9. Prepare a detailed Lab Report? [7]

ASSIGNMENT 31. Define Reading? 2. Write the different styles of reading? 3. Explain PSQ5R Model of Reading. 4. Place an order for the furniture required in your office. Invent the required details. 5. What is the importance of reading 6. Explain the qualities of a good speaker? 7. What are the essentials of Effective Reading? 8. Define Interview? How to become a perfect candidate for an Interview?

9. Describe the role of a Chairperson in a meeting?

10. Describe the role of a Secretary in a meeting?

ASSIGNMENT 41. What is Audio-Visual Communication?

2. Define Notice, Agenda & Minutes of a meeting.

3. What are the preparations of an Interviewer?

4. What is a Seminar?

5. What are the do’s& don’ts of a Group Discussion?

6. What is a Conference & how can you make it effective?

7. What is a meeting? How can you make it effective?

8. What is Oral presentation? Discuss the features of an effective presentation? 9. What precautions should be taken while using Audio-Visual aids?

ASSIGNMENT 51. What is the difference between Hearing & Listening?

2. How to become a good listener?

3. What are the advantages of good listening?

4. What are the general ethics of a Telephonic Conversation?

5. Write short notes on Modern Communication devices?

6. Define Videoconferencing.

7. Discuss the various barriers to listening?

8. Enumerate the difference between American English & British English?

9. Short Notes : a) FAX

b) Email c) Internet d) Multimedia e) Word processor