R13. II B. Tech I Semester Supplementary Examinations, June DATA STRUCTURES (Com. to ECE, CSE, EIE, IT, ECC)

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1 Code No: RT21042 R13 SET - 1 DATA STRUCTURES (Com. to ECE, CSE, EIE, IT, ECC) PART A 1 a) Differentiate between time complexity and space complexity 3 M b) Give the analysis of Heap Sort Algorithm 4 M c) Describe any one method for representing sparse matrix. 4 M d) What are the advantages of Threaded Binary Tree 4M e) Draw a binary tree with five nodes and three leaves. 3M f) State the situation at which binary search algorithm is best applied. 4 M PART -B 2 a) Explain Divide and Conquer algorithmic strategy using Merge Sort as an example. b) Explain Towers of Hanoi problem with illustrative diagrams. 3 a) "Queues can be implemented using two stacks" - Support this statement with suitable programming example. b) Write an algorithm to convert infix expression into a postfix expression. Illustrate the same with the given infix expression: ( ( a + b ) / d - ( ( e - f ) + g ) 4 a) Explain how linked list can be used for representing polynomials using a suitable example. b) Write an algorithm to implement queue using linked list. 1 of 2

2 Code No: RT21042 R13 SET a) Write a recursive procedure which finds the depth D of a binary tree T. b) Explain various methods in which a binary tree can be represented. Discuss their advantages and disadvantages. 6 a) With the help of diagrams construct a Binary Search Tree (BST) with the following keys: 86, 12, 42, 69, 38, 57, 74, 6, 49, 71. Also delete 42 from the constructed BST. b) Write a short note on the non-recursive tree traversals using stack. 7 a) What are different ways of representing a graph? Explain using suitable example. b) Define the following terms with respect of a graph: i) Degree of vertex ii) Incident edge iii) Directed edge iv) Path, 2 of 2

3 Code No: RT21042 R13 SET - 2 DATA STRUCTURES (Com. to ECE, CSE, EIE, IT, ECC) PART A 1 a) List out the pros and cons of recursion. 4 M b) Write an algorithm to insert an element into circular queue. 3 M c) What is the running time of Quick sort and why. 4 M d) State how recursion is different from iteration? 3 M e) List out the properties of Binary Search Tree 4 M f) With respect to the graph below (a) Is it cyclic? (b) Is it connected? 4 M PART -B 2 a) Define an algorithm. Describe commonly used asymptotic notations and give their significance. b) Write an algorithm to implement Binary Search technique. Use the algorithm to search 32 in the following list of elements. Explain the process at each step. 12, 16, 17, 19, 20, 22, 24, 29, 30, 32, 37 3 a) What is a stack? Explain overheads caused by stack in recursion with a suitable example. b) Write the algorithm for evaluating a postfix expression using stack. Evaluate the following postfix notation * 8 4 / - 4 a) What is linked list? Write an algorithm for inserting an element E at the given position P of the linked list. b) What is a sparse matrix? Write an algorithm for finding the transpose of a sparse matrix. 1 of 2

4 Code No: RT21042 R13 SET a) What is a binary tree? Construct a binary tree given the pre-order traversal and in-order traversals as follows: Pre-Order Traversal: G B Q A C K F P D E R H In-Order Traversal: QB K C F A G P E D H R b) Define the following terms with suitable examples i. Binary Tree ii. Strictly Binary Tree iii. Complete Binary Tree iv. Almost Complete Binary Tree 6 a) Write a procedure to search an element in a Binary Search Tree. b) Write a short note on various operations of the threaded binary tree. 7 a) Write an algorithm to traverse the graph using Breadth First Search with a suitable example? b) What is Adjacency Matrix? Draw the Adjacency Matrix of the following graph. Also give adjacency list representation for the same. A B C D 2 of 2

5 Code No: RT21042 R13 SET - 3 DATA STRUCTURES (Com. to ECE, CSE, EIE, IT, ECC) PART A 1 a) What is an algorithm? List out the properties of an algorithm. 4 M b) Differentiate POP with PEEP operation of a stack. 3 M c) List out the advantages and disadvantages of using linked list over an array 4 M d) Write an algorithm to count the number of nodes in a circularly linked list. 4 M e) Draw the BST for the given list of elements 46, 21, 56, 89, 9, M f) Draw an undirected graph from the given adjacency matrix PART -B 2 a) Write a recursive function to find factorial of a given number. b) Explain radix sort with an algorithm. Discuss on its time complexity. 3 M 3 a) List out the applications of stack. Consider the usual algorithm for determining whether a sequence of parentheses is balanced. What is the maximum number of parentheses that will appear on the stack AT ANY ONE TIME when the algorithm analyzes: ( ( ) ( ( ) ) ( ( ) ) )? b) Explain various operations that are performed on queue with suitable algorithms. 4 a) Write algorithms for swapping two successive elements in a singly linked list with the first element placed at position P. b) What is a circular linked list? Write an algorithm to merge two circular linked lists. 1 of 2

6 Code No: RT21042 R13 SET a) Consider the following tree i. How many leaves does it have? ii. How many of the nodes have at least one sibling? iii. List out the nodes that are siblings to node 5? iv. How many descendants does the root have? v. What is the depth of the tree? vi. How many children does the root have? vii. "Is it a complete binary tree" - Justify b) Write the iterative procedures for i. Post-Order Traversal of a binary tree ii. Level-Order Traversal of a binary tree 6 a) Define threaded binary tree. Explain inorder threading using suitable example. Discuss advantages of the threaded binary tree. b) Write a procedure to find the maximum and minimum elements of a Binary Search Tree (BST). 7 a) Write the Prim s algorithm for finding the minimum-spanning tree of a graph with an example. b) What is transitive closure of a graph. Explain Warshall s algorithm to find the transitive closure of the graph with a suitable example 2 of 2

7 Code No: RT21042 R13 SET - 4 DATA STRUCTURES (Com. to ECE, CSE, EIE, IT, ECC) PART A 1 a) List out some examples for linear and non-linear data structures. 3 M b) Write the differences between stack and queue. 3 M c) What is singly linked list? Mention any two advantages of singly linked lists. 4 M d) State the scenario under which insertion sort should be used. 4 M e) Define threaded binary tree with an example. 4 M f) Does the minimal spanning tree of a graph give the shortest distance between any two specified nodes? Justify your answer. PART -B 2 a) Arrange the list of elements in ascending order using quick sort 45, 26, 31, 55, 77, 24, 42, 63, 99, 22, 88, 72? Write the value of left pointer l, right pointer r and pivot at each step and also draw the current scenario after each step? b) Write a recursive procedure to compute the n th Fibonacci number. 4 M 3 a) "One of the applications of stack is Reversing a List" Explain it with a suitable algorithm. b) List out various applications of queues. Explain how queue is used in Round Robin Algorithm with neat diagrams wherever necessary? 4 a) Discuss the advantages and disadvantages of representing a group of items as an array versus a linear linked list. b) Write an algorithm to insert a node at the end of a doubly linked list. 1 of 2

8 Code No: RT21042 R13 SET a) Find the inorder, preorder and postorder traversals for the given binary tree. b) Write a procedure to display the nodes of a binary tree at a particular level. 6 a) Give the analysis of insertion and deletion operations of nodes in binary search tree. b) Write a short note on Balanced Binary Trees. Also discuss on the applications of Balanced Binary Trees. 10 M 6 M 7 a) Differentiate between the DFS and BFS graph traversal techniques. b) What are connected components of a graph? Is there a method to find out all the connected components of a graph? Explain. 2 of 2

9 Code No: RT21045 R13 SET - 1 ELECTRICAL TECHNOLOGY (Com. to ECE, EIE) PART A 1 a) Explain the principle of a Dc Generator [4] b) What is the function of a commutator in Dc Generator [3] c) Draw the characteristics of Dc Shunt motor [4] d) Explain the equivalent circuit of a single phase transformer [4] e) Define slip and give its expression. [4] f) List the different applications of Single phase induction motors. [3] PART B 2 Explain Multiply excited magnetic field system with a neat diagram and derive [16] the expression for the magnetic force developed 3 a) Explain how the voltage is developed in a self excited DC shunt generator. [8] b) A 4 pole lap wound Dc shunt generator has a useful flux/pole 0.07 Wb. The [8] armature winding consists of 220 turns, each turn having a resistance of 0.004Ω. Calculate the terminal voltage when running at 900 rpm. If the armature current is 50A. 4 a) Explain the construction and operation of a Dc Motor [8] b) A 440 V Dc shunt motor takes a 4 A at no load. Its armature and field resistances [8] are 0.4 ohm and 220 ohms respectively. Estimate the KW output and efficiency when the motor takes 60 A on full load. 1 of 2

10 Code No: RT21045 R13 SET a) Derive the emf equation of a transformer [8] b) A 25 KVA,2200/220 V, 50 Hz distribution transformer is tested for efficiency and regulation as follows: OC test (l.v side) : 220V, 4A, 150 W SC test (h.v side) : 90 V, 10 A, 350 W Calculate the i) Efficiency at full load and half load at 0.8 power factor lagging current and, ii) Regulation of transformer at 0.8 power factor lagging current. [8] 6 a) Explain how rotating magnetic field in developed in three phase induction motors. [8] b) Explain the different methods of starting Three phase induction motor. [8] 7 Explain with a neat diagram the working of start single phase induction motor and its principle of operation. [16] 2 of 2

11 Code No: RT21045 R13 SET - 2 ELECTRICAL TECHNOLOGY (Com. to ECE, EIE) PART A 1 a) Classify the types of windings in DC machines and number of parallel paths [3] b) Explain the commutation process in DC machines [4] c) Explain the principle of operation of Dc Motor [4] d) Define regulation of a transformer [3] e) Draw the torque slip characteristics of Three phase induction motor. [4] f) Explain the concept of Double revolving field theory in single phase motors. [4] PART B 2 Explain singly excited magnetic field system with a neat schematic diagram and also list the necessary assumptions made. [16] 3 a) Explain the constructional details of a Dc Machine [8] b) An 6 pole wave connected DC Generator has 1000 armature conductors and flux / pole Wb.At what speed must it be driven to generate 500V? [8] 4 a) Derive the torque developed in a Dc motor [8] b) A 230 V dc shunt motor takes 32 A at full load. Find the back emf on full load if the resistances of motor armature and shunt field windings are 0.2 ohm and 115 ohms respectively. [8] 5 a) Explain about core type and shell type transformers [8] b) Explain in detail about the Open circuit and short circuit test that is performed on single phase transformer and comment up on the outcome. [8] 6 a) Explain how a rotating magnetic field is produced in a three phase induction motor. [8] b) The power input to the rotor of a 3-phase, 50 Hz, 6 pole, slip ring induction motor is 38 KW and the motor runs at 950 rpm. The rotor resistance per phase is 0.22 Ω. Determine the value of the rotor current per phase. 7 Explain with a neat diagram the working of Split phase capacitor start induction motor. [8] [16] 1 of 1

12 Code No: RT21045 R13 SET - 3 ELECTRICAL TECHNOLOGY (Com. to ECE, EIE) PART A 1 a) Explain the function of armature in Dc Generator [3] b) Discuss the function of inter poles in dc Machines [3] c) Explain the term Back emf with respect to dc motor. [4] d) Derive the condition for maximum efficiency of a transformer. [4] e) Explain the differences between the squirrel cage and Phase wound induction [4] motor. f) Explain the constructional features of Single phase induction motor [4] PART B 2 a) Explain the principles of electromechanical energy conversion [8] b) Explain in detail about the Electromechanical energy conversion device with the help of the necessary Block diagram 3 a) Derive the emf equation of a DC Generator [8] b) Define the terms critical resistance and critical speed and bring out their roles in the process of self excitation of DC machines. 4 a) Derive the condition for maximum power in a dc motor. [8] b) A 4 pole lap wound, 240 V motor has the following particulars: number of armature conductors 740; resistance of armature = 0.3 ohm; useful flux per pole = Wb. If the total torque developed by the motor is 140 Nm, find the armature current taken and the speed. 5 a) Explain the working principle and construction of a transformer [8] b) A 3300/300 V single phase 300 KVA transformer has 1100 primary turns. Find i) Transformation ratio ii) Secondary turns iii)voltage / turn iv) Secondary current when it supplies a load of 200 KW at 0.8 power factor lagging. 6 a) Explain the constructional details of the Three phase induction motor. [8] b) Explain the different power stages in a Three phase induction motor [8] [8] [8] [8] [8] 7 Explain the construction features and principle of operation of a shaded pole Induction motor. 1 of 1 [16]

13 Code No: RT21045 R13 SET - 4 ELECTRICAL TECHNOLOGY (Com. to ECE, EIE) PART A 1 a) Explain role of back empf in a dc machine [3] b) Explain the function of field poles in a dc machine [4] c) List the different types of Dc Motor. [4] d) Explain the function of a transformer and give its applications [4] e) Explain the principle of operation of an Induction motor. [4] f) List the applications of AC servomotors. [3] PART -B 2 a) Discuss about S.I. units [8] b) Derive the relation for the magnetic stored energy of a singly excited magnetic [8] field system 3 a) Explain the different methods of Excitation of a DC Generators with suitable [8] diagrams b) A short shunt compound generator has armature, series field and shunt field [8] resitances of 0.06Ω, 0.03Ωand 110Ω respectively. It supplies 100 lamps rated at 250V, 40 W. Find the generated emf. Assume that contact drop/brush = 1V. 4 a) Explain the terms armature reaction and commutation in dc generator [8] b) Explain the different speed control methods on Dc Motors [8] 1 of 2

14 Code No: RT21045 R13 SET a) Explain the behavior transformer on load and draw the phasor diagram for Lagging loads b) A 220 KVA transformer has an efficiency of 97 % at full load. If the maximum efficiency occurs at three quarters of full load, calculate the efficiency at half load. Assume negligible magnetizing current and power factor of 0.8 at all loads. [8] [8] 6 a) Prove that the frequency of the rotor current is equal to the slip times the supply frequency in a three phase induction motor. b) A 3-phase, 6 pole, 50 Hz induction motor has a slip of 1 % at no load and 3% at full load. Find: i)synchronous speed ii) No load speed iii) Full load speed iv) Frequency of rotor current at standstill and v) Frequency of rotor current at full load. [8] [8] 7 a) Explain with a neat diagram the working of a AC servomotor [10] b) List the differences between Single phase induction motor and three phase [6] induction motor. 2 of 2

15 Code No: RT21041 R13 SET - 1 ELECTRONIC DEVICES AND CIRCUITS (Com. to ECE, EIE, ECC) PART A 1. a) What is meant by energy band? (3M) b) Describe Tunneling phenomenon? (4M) c) Define Ripple factor and Form factor. (4M) d) Describe the basic structure of the BJT. (4M) e) What is the effect of change in temperature on the stability of operating point? (4M) f) The output of common emitter amplifier is out of phase with the input. Explain the reason. (3M) PART B 2. a) Explain the principle of Hall effect with diagram and write its applications (8M) b) What is law of junction? Explain (8M) 3. a) Explain the construction and working of Tunnel diode. (8M) b) Explain the construction and working of LCD. (8M) 4. a)what are different types of rectifiers? Compare them (6M) b) Determine the rating of a transformer to deliver 125 watts of dc power to a load for the following. (i) Half wave rectifier. (ii) Full wave rectifier (iii) Bridge rectifier (10M) 5. a) Draw the circuit diagram for finding the CC characteristics of a Transistor. (8M) b) Explain the working of a NPN transistor. (8M) 6. a) What is Biasing? Explain the need of it. List out different types of biasing methods. (6M) b) If the various parameters of a CE Amplifier which uses the self bias method are V CC =12V, R 1 =5KΩ, R 2 =10KΩ, R C =3KΩ, Re=1KΩ and β=50, find i) the coordinates of the operating point and ii) the Stability Factor, assuming the transistor to be of silicon. (10M) 7. a) Give the approximate H-parameter conversion formulae for CB and CE configuration in terms of CC. (10M) b) Compare A V, A I, R i and R o of CE, CB and CC configurations. (6M) 1 of 1

16 Code No: RT21041 R13 SET - 2 ELECTRONIC DEVICES AND CIRCUITS (Com. to ECE, EIE, ECC) PART A 1. a) Define Depletion region and explain how the pn junction formed? (4M) b) What are the applications of Varactor diode? (3M) c) Define Transformer utilization factor. (4M) d) What are the applications of MOSFET? (4M) e) What is meant by Amplification and in what region of the characteristics the transistor is operated as amplifier? (4M) f) What are half power frequencies? Why it is named so? (3M) PART B 2. a) Derive an expression for Continuity Equation. (8M) b) Derive an expression for Fermi level in an intrinsic semiconductor. (8M) 3. a) Explain the construction and working of Zener diode. (8M) b) Explain the construction and working of SCR. (8M) 4. a) Define Rectification efficiency and derive expression for it for the following (i) Half wave rectifier (ii) Full wave rectifier (iii) Bridge rectifier. (8M) b) Design Two-section LC filter to provide an output voltage 9V with a load current of 100 ma and the ripple is limited to 0.2%. (8M) 5. a) Draw and explain the CB characteristics of a transistor. (8M) b) Draw the Eber-moll model of a transistor. (8M) 6. a) What is the necessity of Biasing circuits? Derive the expression for stability factor of self bias circuit. (8M) b) In a Silicon transistor circuit with a fixed bias, V CC =10V, R C =4KΩ, R B =7KΩ, β =100, V BE =0.7V.Find the operating point and Stability factor. (8M) 7. Derive the Expressions for voltage gain, current gain, input impedance, output impedance of a CE amplifier, using exact and approximate model. (16M) 1 of 1

17 Code No: RT21041 R13 SET - 3 ELECTRONIC DEVICES AND CIRCUITS (Com. to ECE, EIE, ECC) PART A 1. a) What are conductors, insulators and semiconductors? (4M) b) What are the applications of laser diode? (3M) c) What are the advantages and disadvantages of full wave rectifier? (4M) d) What are the differences between BJT and JFET? (4M) e) Define thermal runaway. (3M) f) Define the stability factor and write the expression for it (4M) PART B 2. a) What is the Hall Effect? Derive the an Expression for Hall Coefficient? (8M) b) Explain the Diffusion and Drift currents for a semiconductor. (8M) 3. a) Explain in detail about the current components in a pn junction diode. (8M) b) Explain in detail the break down mechanisms in a diode. (8M) 4. a) With a neat sketch explain the working of bridge rectifier. (6M) b) Define Ripple factor and derive expression for it for the following (i) Half wave rectifier (ii) Full wave rectifier (iii) Bridge rectifier. (10M) 5. a) Compare CE, CB and CC configurations. (6M) b) Explain in detail the working of JFET and draw its drain and transfer characteristics. (10M) 6. In a Self bias circuit containing R 1 =50KΩ, R 2 =25KΩ, Re=1KΩ, R C =3KΩ, β =90, V CC =12V, V BE =0.7V. Find the operating point, S, S, and S. (16M) 7. a) Analyze a Single stage transistor amplifier using h-parameters. (6M) b) Give the approximate H-parameter conversion formulae for CC and CB configuration in terms of CE. (10M) 1 of 1

18 Code No: RT21041 R13 SET - 4 ELECTRONIC DEVICES AND CIRCUITS (Com. to ECE, EIE, ECC) PART A 1. a) Define Energy gap. How it varies with temperature? (4M) b) What is Avalanche breakdown? (4M) c) Define peak inverse voltage. (3M) d) Define Amplification factor and transconductance. (4M) e) Define Stability factor. (3M) f) Draw H-parameter model of a CE transistor. (4M) PART B 2. a) Derive an expression for Fermi level in an extrinsic semiconductor. (10M) b) Explain about Energy Band Diagrams. (6M) 3. a) Explain the working of pn diode in forward and reverse bias conditions. (8M) b) Explain the construction and working of UJT. (8M) 4. a) Draw the block diagram of a power supply. Explain in detail about different elements in power supply. (8M) b) With a neat sketch explain the working of Half-wave rectifier. (8M) 5. a) Explain the working of a PNP transistor with a neat diagram (6M) b) Explain the construction and working of Enhancement MOSFET. (10M) 6. a) What is the need of Biasing and Stabilization? Explain (8M) b) Explain in detail about Thermal Runaway and Thermal Resistance. (8M) 7. a) Give the advantages of H-parameter analysis. (4M) b) The H-parameters of a Transistor used in a CE circuit are h ie =1KΩ, h re = h fe =50, h oe =100K. The load resistance for the transistor is 1KΩ in the collector circuit. Determine R i, R O, A V, A i in the amplifier stage (Assume Rs= 1KΩ). (12M) 1 of 1

19 Code No: RT21043 R13 SET - 1 ENVIRONMENTAL STUDIES (Com. to ECE, EIE, ECC) PART-A 1 a) What are Green house gases? How are they responsible for global warming? 3 b) What are Food Pyramids? 3 c) Mention the merits of Solar Energy 3 d) What is Eutrophication? 3 e) Define the term bio-diversity 2 f) What is Noise? What are the CPCB standards of day time noise levels at silence 3 zones g) What is Fluorosis? 2 h) Define the term Environment 3 PART-B 2 a) What is Sustainable development? What are the strategies for Sustainable 10 development? b) Define Ecosystem. Give the classification of Ecosystem 6 3 a) What are the causes and consequences of deforestation 10 b) Distinguish between Renewable and Non-renewable resources 6 4 a) What is meant by generic, species and ecosystem diversity 6 b) Explain In-situ and Ex-situ measure of conservation of biodiversity 10 5 a) Explain the role of an individual in prevention of pollution 10 b) Write short note on Solid waste management 6 6 a) Man cannot command nature except by obeying it. Explain 8 b) Write the salient features of The Air (Prevention and Control of Pollution) Act 8 7 Write short notes on a) Environmental Impact Statement 6 b) Environmental Audit 6 c) Checklist method 4 1 of 1

20 Code No: RT21043 R13 SET - 2 ENVIRONMENTAL STUDIES (Com. to ECE, EIE, ECC) PART-A 1 a) Define the term Environment 2 b) What is acid rain? 3 c) Distinguish between renewable and non-renewable resources 3 d) What are Hot-spots of biodiversity in India? 3 e) Mention few natural sources of air pollution 2 f) Define the term Water pollution as per The Water Act, g) What is EIA? 3 h) Mention the aesthetic value of biodiversity 2 PART-B 2 a) What is the importance of Environmental education? 6 b) Explain the structure and functions of an Ecosystem 10 3 a) Write the impacts of mining on forests 6 b) What are the non-conventional sources of energy. Write their merits 10 4 Define the term bio-diversity. Describe the In-situ and Ex-situ measures of biodiversity conservation 16 5 a) Explain the impacts of Air Pollution on human and plant 10 b) Write short notes on Nuclear hazards 6 6 a) Write the salient features of The Forest Conservation Act 10 b) The principle of living is To live and Let live. Explain 6 7 Write short note on a) Environmental audit 6 b) Draft EIS 4 c) Primary and Secondary Impacts 6 1 of 1

21 Code No: RT21043 R13 SET - 3 ENVIRONMENTAL STUDIES (Com. to ECE, EIE, ECC) PART - A 1 a) What is sustainable development? 3 b) Distinguish between producers and consumers 3 c) Define bio-magnification 3 d) Mention the agents responsible for soil erosion 2 e) What are the threats to bio-diversity 2 f) What is garbage? What is the best method of disposal of garbage from hotels 3 g) What is rain-water harvesting? 3 h) Write the difference between Draft EIS and final EIS 3 PART - B 2 a) What are the Global Environmental challenges? Explain 10 b) Distinguish between Food chain and Food web 6 3 a) Write the benefits and problems associated with dams 6 b) What is sustainable development? What are the strategies for sustainable development? 10 4 a) What are the values of bio-diversity? 8 b) Explain the measures of bio-diversity conservation? 8 5 a) What is Solid waste management? 8 b) What are water-borne diseases? Explain water as a vehicle of disease transmission 8 6 a) Nature has for man s needs but not for man s greed s. Explain 10 b) Write the salient features of Wild life Protection Act 6 7 Write short note on a) EIA methodologies 8 b) Ecotourism 4 c) Public Hearing 4 1 of 1

22 Code No: RT21043 R13 SET - 4 ENVIRONMENTAL STUDIES (Com. to ECE, EIE, ECC) PART A 1 a) Mention the global impacts air pollution 3 b) Define the term Ecosystem 3 c) Mention two flood control measures 2 d) What is meant by desertification 3 e) Define genetic biodiversity 3 f) Mention the pollutant responsible for Bhopal gas Tragedy 3 g) Distinguish between composting and very-composting 3 h) What is Draft EIS? 2 PART B 2 a) What is man s impact on Environment? 8 b) Explain Forest Ecosystem 8 3 a) What are the effects of modern agriculture? 8 b) Explain the role of an individual in conservation of natural resources 8 4 a) What is biodiversity? What are the threats to bio-diversity? 8 b) Describe India as a mega diversity nation 8 5 a) What is noise? What are the auditory effects and non-auditory effects 8 b) Explain the reduction, recycling, reuse and recovery principles of solid waste management 8 6 a) Write the impacts of mining and dams on forests and Tribal people 8 b) Write the salient features of The Water Act 8 7 Write short note on a) Adhoc method 5 b) Cost benefit analysis 6 c) Safety audit 5 1 of 1

23 Code No: RT21034 R13 SET - 1 MANAGERIAL ECONIMICS AND FINANCIAL ANALYSIS (Com. to ME, ECE, CSE, IT, ECC, MTE) PART A 1 a) What is demand? And explain the types of demand. 3M b) Explain Cobb-Douglas Production function. 4M c) What is Oligopoly market? And significance of kinked demand curve. 4M d) Explain the salient features and types of partnership. 4M e) Describe the importance of ratio analysis. 4M f) Explain the meaning of capital. 3M PART B 2 a) Define managerial economics and explain its relation with other subjects. 8M b) Explain the importance of demand forecasting and describe any two methods of 8M demand forecasting. 3 a) Describe the salient features of law of variable propositions. 8M b) Explain any four concepts of costs. 8M 4 a) Explain the conditions of perfect competition and how the price and output 8M determined in the short-run? b) Describe the importance of pricing and write any two methods of pricing. 8M 5 a) What is business? And explain the merits and demerits of Joint-Stock Companies. 8M b) Explain the causes and consequences of business cycles. 8M 1 of 2

24 Code No: RT21034 R13 SET a) Explain the limitations of ratio analysis. 6M b) The following is an extract of a balance sheet of a company during the last year. Compute current ratio and quick ratio. Also interpret the ratios. (Rs.) 10M Land and buildings 50,000 Plant and machinery 1,00,000 Furniture and fixtures 25,000 Closing stock 25,000 Sundry debtors 12,500 Wages prepaid 2,500 Sundry creditors 8,000 Rent outstanding 2,000 7 a) What is capitalization? And explain the need for capital budgeting. 8M b) Briefly explain the techniques of capital budgeting. 8M 2 of 2

25 Code No: RT21034 R13 SET - 2 MANAGERIAL ECONIMICS AND FINANCIAL ANALYSIS (Com. to ME, ECE, CSE, IT, ECC, MTE) PART A 1 a) Explain the law of demand and types of demand. 4M b) Describe the salient features of Isoquants. 3M c) Explain the conditions of monopoly. 4M d) Describe the merits and demerits of sole trader. 4M e) Explain the double entry system. 4M f) What is Capitalization? 3M PART B 2 a) Define managerial economics and explain its scope. 8M b) What is elasticity of demand? And explain its types and measurement. 8M 3 a) Explain the importance production function and describe the salient features of 8M Cobb-Douglas production function. b) Describe the importance of Break-even analysis and Break-even point. 8M 4 a) Explain the conditions of perfect competition and monopolistic competition. 8M b) Describe any three methods of pricing. 8M 5 a) Explain the salient features of private limited and public limited companies. 8M b) What is the meaning of business cycles? And explain different phases of business 8M cycles. 1 of 2

26 Code No: RT21034 R13 SET a) Explain the importance of funds flows and cash flow statements. 6M b) The following is an extract of a balance sheet of a company during the last year. Compute current ratio and quick ratio. Also interpret the ratios. (Rs.) 10M Land and buildings 1,50,000 Plant and machinery 3,00,000 Furniture and fixtures 1,25,000 Closing stock 25,000 Sundry debtors 62,500 Wages prepaid 7,500 Sundry creditors 18,000 Rent outstanding 12,000 7 a) Briefly explain the traditional methods of capital budgeting. 8M b) Briefly describe the modern methods of capital budgeting. 8M 2 of 2

27 Code No: RT21034 R13 *** SET - 3 MANAGERIAL ECONIMICS AND FINANCIAL ANALYSIS (Com. to ME, ECE, CSE, IT, ECC, MTE) PART A 1 a) Define Managerial Economics. 3M b) Isoquants Vs. Iso costs. 4M c) Salient features of Oligopoly and kinked demand curve. 4M d) Merits and demerits of partnership. 4M e) Importance of ratio analysis. 4M f) Explain the need for capital budgeting. 3M PART B 2 a) What is demand? And explain the law of demand and its exceptions. 8M b) Explain the significance of demand forecasting and describe any two methods of 8M demand forecasting. 3 a) Explain the law of variable proportions. 8M b) Describe any three cost concepts. 8M 4 a) Explain the conditions of monopoly and how the price and output determined in 8M the monopoly? b) Explain any three methods of pricing. 8M 5 a) Describe the salient features, merits and demerits of public enterprises. 8M b) Explain the meaning and phases of business cycles. 8M 1 of 2

28 Code No: RT21034 R13 SET a) Explain the limitations of financial analysis. 4M b) Calculate Funds from operations from the following Profit and Loss Account. 12M Dr. Cr. (Rs.) (Rs.) To salaries To printing and stationery To postage and telegrams To telephone charges To auditor s fee To other expenses To depreciation To loss on sale of furniture To discount To good will To trademarks To net profit 2,50,000 20,000 20,000 25,000 20,000 95,000 1,40,000 8,000 2,000 40,000 10,000 3,90,000 10,20,000 By gross profit By gain on sale of land 9,00,000 1,20,000 10,20,000 7 a) What is capitalization? And briefly explain the traditional methods capital 8M budgeting. b) Describe the modern methods of capital budgeting. 8M 2 of 2

29 Code No: RT21034 R13 SET - 4 MANAGERIAL ECONIMICS AND FINANCIAL ANALYSIS (Com. to ME, ECE, CSE, IT, ECC, MTE) PART A 1 a) Explain the scope of Managerial Economics. 3M b) Explicit Vs. Implicit costs. 4M c) Oligopoly and kinked demand curve. 4M d) Salient features of partnership. 4M e) Significance of ratio analysis. 4M f) Explain the need for capital budgeting. 3M PART B 2 a) What is elasticity of demand? And explain its types and measurement. 10M b) Explain any two methods of demand forecasting. 6M 3 a) Describe the importance of Break-even analysis and Break-even pint. 8M b) Briefly explain the salient features of law of variable propositions. 8M 4 a) Describe the conditions and price-out-put determination in perfect completion. 10M b) Explain any two methods of pricing. 6M 5 a) Explain the salient features, merits and demerits of private and public limited 10M companies. b) Describe the phases of business cycle. 6M 1 of 2

30 Code No: RT21034 R13 SET a) Explain the objectives of funds flows statement. 4M b) Calculate the funds from operations from the following profit and loss account for the year ending Dr. Cr. (Rs) (Rs) To salaries To rent To postage and telegrams To printing and stationery To telephone charges To audit fee To law charges To interest To bad debts To provision for bad debts To preliminary expenses written off To goodwill written off To provision for Tax To proposed dividend To general reserve To loss on sale of furniture To net profit 50,000 30,000 20,000 30,000 30,000 20,000 25,000 5,000 2,000 3,000 20,000 30,000 40,000 60,000 1,00,000 10,000 1,75,000 By gross profit By profit on sale of buildings 6,00,000 50,000 6,50,000 6,50,000 12M 7 a) Explain the traditional methods of capital budgeting. 8M b) Describe the modern methods of capital budgeting. 8M 2 of 2

31 Code No: RT21044 R13 SET - 1 SIGNALS AND SYSTEMS (Com. to ECE, EIE, ECC) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ PART-A 1. a) Obtain the Fourier series coefficient b n for x[n]=sin w 0 n? b) Define Hilbert transform? c) Define System and signal bandwidth. d) Define Energy Spectral Density (ESD) and give the relation between ESD and auto correlation? e) Find the Laplace transform of the signal and its ROC of x(t)=e -at u(t). f) Find the Z-transform and its ROC of δ[n+k]. (4M+3M+4M+3M+4M+4M) PART-B 2. a) Find the trigonometric Fourier series for the periodic signal x(t) shown below. b) Find the complex exponential Fourier series coefficient of the signal x(t)=sin t 3. a) Determine the Nyquist sampling rate and Nyquist sampling interval for The signal x(t) = sinc 2 (200. b) State and prove time convolution and time differentiation properties of Fourier Transform. 1 of 2

32 Code No: RT21044 R13 SET a) A causal LTI system is described by y[n]- y[n-1] + y[n-2] = x[n],where x[n] is the input to the system h[n] is the impulse response of the system. Find System function H(z) Impulse response h(n). b) Derive the relation between bandwidth and rise time. 5. a) Prove that the correlation and convolution functions are identical for even signals. b) Find the convolution of the following signals using graphical analysis: x(t) = e -2t u(t) and h(t) = u(t + 2). 6. a) Find the Laplace transform of the signal x(t) =e -at u(t) + e -bt u(-t) b) Explain quantitatively how the signal is reconstructed from its samples 1 7. a) Find the signal corresponding to the z-transform X ( z) = ( z )( z ) b) Find the inverse z transform of X (z) using power series method, given 1 X ( z) =, z < a. 1 (1 az ) 2 of 2

33 Code No: RT21044 R13 SET - 2 SIGNALS AND SYSTEMS (Com. to ECE, EIE, ECC) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ PART-A 1. a) State the condition for convergence of Fourier series. b) State and prove duality property of Fourier transform? c) Define Impulse response of a system and write the expression for transfer function in terms of input signal and output signal. d) List the steps involved in linear convolution. e) State the time scaling property of Laplace transform. f) Mention any two properties of ROC of Z-transform. (4M+3M+4M+3M+4M+4M) PART-B 1 ( t + 2), 2 t 4 2. a) Given x( t) = 6. Then Sketch (i) x (t) (ii) x (t+1) (iii) x (2t) 0 otherwise (iv) x( ) b) Explain the classification of various signals. 3. a) A signal g(t) = Cos(200πt) + 2Cos(280πt) is sampled at a sampling frequency of 300Hz. If the sampled signal is transmitted through an ideal LPF with cut-off frequency of 250Hz. What frequency component will present in the output? b) Determine the Fourier transform of a two sided exponential pulse x (t) = e t. 4. a) Define an LTI system. List the properties of LTI system and Explain. b) Prove that the Transmission of a pulse through a Low Pass Filter causes the dispersion of the pulse. 1 of 2

34 Code No: RT21044 R13 SET a) Determine the output of an LTI system whose input and unit sample response are given as follows: x(n) = b n u(n) and h(n) = a n u(n). b) Derive the relation between PSDs of input and output for an LTI system. 6. a) Prove the scaling and time shifting properties of Laplace transform. b) Determine the Laplace transform of x(t) = cos. 7. a) Determine the Z-transform and sketch the pole-zero plot with the ROC for each of the following signals: (i) x[n] = (0.5) n u(n) ( )n u(n) (ii) x[n] = (0.5) n u(n) + ( )n u(n-1). b) State and prove initial and final value theorems of z-transform. 2 of 2

35 Code No: RT21044 R13 SET - 3 SIGNALS AND SYSTEMS (Com. to ECE, EIE, ECC) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ PART-A 1. a) State the Drichlet s conditions. b) State differentiation and integration properties of Fourier Transform both time and frequency domains. c) List the filter characteristics of linear systems. d) Determine the convolution of the signals x[n]={2, -1, 3, 2} and h[n]={1, -1, 1, 1}. e) Give the relationship between Fourier Transform and Laplace Transform. f) State the initial and final value theorems of Z-transform. (4M+3M+4M+3M+4M+4M) PART-B 2. a) Obtain the trigonometric Fourier series for the half wave rectified sine wave as given below. b) Explain about complex Fourier spectrum. 3. a) Find the Fourier transform of a gate pulse of unit height, unit width and centered at t=0. b) Find the Fourier Transform of f(t) = t Cos(2t). 4. a) Obtain the conditions for the distortion less transmission through a system. b) Let the transfer function of an LTI system be. What is the output of the system for an input (0.8) t u (t). 1of 2

36 Code No: RT21044 R13 SET a) Show that the cross correlation of f(t) with δ(t t 0 ) is equal to f(t t 0 ). Where δ(t t 0 ) is delayed unit impulse function. b) Show that the auto-correlation function at the origin is equal to the energy of the function. 6. a) Find the inverse Laplace transform of X(s) = for the ROCs. (i). -5<Re{s}<3. (ii). Re{s} < 3 b) State and prove the initial and final value theorem of Laplace transform. 7. a) Find the Z-transform of the given signal x(n) and find ROC: X(n) = [sin(w 0 n] u(n) b) Find the Inverse Z-transform using Residue method of the following: z X ( z) = z + 2z, z > 2. 2 of 2

37 Code No: RT21044 R13 SET - 4 SIGNALS AND SYSTEMS (Com. to ECE, EIE, ECC) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ PART-A 1. a) Explain about unit impulse and unit step signals. b) Define Nyquist rate. c) Define stability and causality of an LTI system. d) Define the convolution integral. e) How is Z-transform obtained from Laplace transform? f) Using Z-transform, check whether the following system is stable or not. z 2z 1 X ( z) = +, < z < 3. 1 z z (4M+3M+4M+3M+4M+4M) PART-B 2. a) Sketch the following signals: where r(t) is a unit ramp signal. (i).x(t) =r(-t+2) (ii). x(t) =-2r(t) (iii).x(t) =r(2t-4) b) Find the Fourier series coefficients of the signal x(t)=sin(w 0 t). 3. a) State and prove the sampling theorem for a band limited signals b) State and prove differentiation and integration properties of Fourier transform. 4. a) Find the response of an ideal low pass filter when unit step signal is applied as an input. b) What are the requirements of a system to allow the distortion less transmission of a signal? 5. a) Define auto-correlation and cross-correlation. Prove any two properties of correlation function. b) Find the Fourier transform of cross-correlation of f 1 (t) and f 2 (t). 1 of 2

38 Code No: RT21044 R13 SET - 4 5s a Find the inverse Laplace transform of X ( s) =, Re( s) > 0. 2 s( s + 4s + 13) b. Find the signal x(t) that corresponds to the Laplace transform X s) = ( s 2 3s + 22s s + 2)( s + 2s + 5) ( 2 2 n 7. a) Find the Z-transform and ROC of the discrete signal x[ n] = [3(2 n ) 4.(3 )] u[ n]. 2 z b) Given H ( z) =. ( z 0.5 j0.5)( z j0.5) Find h[n]. 2 of 2