School of Engineering B.TECH Civil Engineering Semester End Examination Feb 2024 PDF
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School of Engineering
2024
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This is a past paper for the School of Engineering B.TECH Civil Engineering Semester End Examination in February 2024, covering "Engineering Mathematics-I." The paper contains multiple questions related to different mathematical concepts, from calculus to algebra, and includes computation and application-based problems.
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# School of Engineering ## B.TECH Civil Engineering ### Semester End Examination - Feb 2024 ### Sem I-C1UC122B - Engineering Mathematics-I #### General Instructions - Answer to the specific question asked - Draw neat, labelled diagrams wherever necessary - Approved data hand books are allowed subje...
# School of Engineering ## B.TECH Civil Engineering ### Semester End Examination - Feb 2024 ### Sem I-C1UC122B - Engineering Mathematics-I #### General Instructions - Answer to the specific question asked - Draw neat, labelled diagrams wherever necessary - Approved data hand books are allowed subject to verification by the Invigilator | Question | Description | Marks | |---|---|---| | 1 | Let A= [3 2 7; -2 3 4; 0 5 2] Find out Trace and determinant of the matrix 2A. | 3 | | 2 | Compute the double integral over the region R: 0.5 ≤ x ≤ 10 ≤ y ≤ 2 (6y2-2x)dA | 4 | | 3 | If (cosx)=(siny), show dy/dx=y tan x + log sin y / log cos x - xeot y | 6 | | 4 | Find the Maclaurin series generated by f(x)=1/(1+x) | 6 | | 5 | Express ∂w/∂r and ∂w/∂s in terms of r and s if w=x+2y+zxy x=r2+ins, y=2r%, z=2rs | 6 | | 6 | Find the double integral of the following functions by changing the order of integration ∫∫2xydxdy where R is a region bounded by y=x2, y=2 and x=1. | 9 | | 7 | Compute the integral by changing into polar coordinates :: ∫∫e^(-(x^2+y^2)) dxdy | 9 | | 8 | Determine the interval and radius of convergence for the power series Σ(x - 1)^n/ (10^n) | 8 | | 9 | Find the extreme values of the function f(x,y)=x^2+4y^2-2x+8y on the line x+2y=7 using Lagrange Multiplier method. | 12 | | 10 | Find the first three nonzero terms of Maclaurin series for the function f(x)=e^xlog(1+x) | 10 | | 11 | Prove or Disprove the convergence of ∫_0^1 x(1-x)dx OR Show that the function f(x,y) is continuous at every point except the origin: f(x,y)= 2xy^2 / (x^2+y^2 ) if (x,y)≠(0,0) and f(x,y)= 0 if (x,y)=(0,0) | 15 | | 12 | Find the extreme values of the function f(x,y)=x^2 +4y^2 -4xy on the closed triangular region defined by points (0,0), (2,0) and (0,1) OR Check whether to solve the following system of equations by Gauss elimination: x+3x+4x = 4, x+3x+2x = 2, and 3x2+9x2+6=6. Further, verify that the obtained solution is correct. | 12 | # School of Engineering ## B.TECH Civil Engineering ### Semester End Examination - Jun 2024 ### Sem II-G2UA120B - Basic Electrical and Electronics Engg. #### General Instructions - Answer to the specific question asked - Draw neat, labelled diagrams wherever necessary - Approved data hand books are allowed subject to verification by the Invigilator | Question | Description | Marks | |---|---|---| | 1 | Tell the biasing of P-N junction diode. | 2 | | 2 | Explain the differences between Thevenin's and Norton's theorem. | 4 | | 3 | Summarize the differences between half wave rectifier and full wave rectifier. | 6 | | 4 | Solve the problem with the help of Norton's theorem and find the current through the RL (52) resistor. The circuit has a voltage source of 30V, a current source of 2A, and resistors of 50Ω, 60Ω, 40Ω, 50Ω, and 100Ω. | 9 | | 5 | Solve the problem with the help of Norton's theorem and find the current through the 80 resistor (terminal a and b). The circuit has a voltage sourceof 12V, a current source of 2A, and resistors of 50Ω, 2Ω, 4Ω, and 80Ω. | 9 | | 6 | Measure the value of current through 120 resistor using mesh current analysis for the given circuit. Circuit has resistors of 100Ω, 150Ω, 200Ω, 120Ω, and 300Ω, and voltages of 12V, 10V, and 15V. | 10 | | 7 | Analyze Idc, Irms, ripple factor and rectifier efficiency of a Half Wave rectifier circuit. | 12 | | 8 | Determine, the resonant frequency, the quality factor and the bandwidth of the circuit, the circuit current at resonance and current magnification. Explain parallel RLC resonance network. A parallel resonance network consisting of a resistor of 600, a capacitor of 120uF and an inductor of 200mH is connected across a sinusoidal supply voltage which has a constant output of 100 volts at all frequencies. | 15 | | 9 | Explain Zener voltage regulation circuit. A voltage regulation circuit having a Zener diode with a breakdown voltage of 6V. If the input voltage varies from 8V to 12V, determine the series resistor value (Rs) required maintaining a constant output voltage of 6V. Assume the Zener resistance (Rz) is 10 ohms at breakdown region. | 15 | | 10 | (a) Design a pure capacitive AC circuit and derive its current and voltage. (b) A series RLC Circuit connected to a 230V AC supply. If at resonance frequency, the current draw by the series circuit is 25A and voltage drop across 800 µF capacitor is 40V. Calculate the overall impedance, power factor and resonance frequency of the circuits. | 18 | # GGALGOTIAS UNIVERSITY # School of Engineering # B.TECH Civil Engineering ### Semester End Examination - Jan 2024 ### Sem I-G2UA120B - Basic Electrical and Electronics Engg. #### General Instructions - Answer to the specific question asked - Draw neat, labelled diagrams wherever necessary - Approved data hand books are allowed subject to verification by the Invigilator | Question | Description | Marks | |---|---|---| | 1 | Recall the Kirchhoff's Voltage Law. | 2 | | 2 | Explain the working principal of piezoelectric electric sensor. | 4 | | 3 | Summarize the differences between magnetic circuits and electric circuit | 6 | | 4 | Solve the problem with the help of Norton's theorem and find the current through the 4 Ω resistor. The circuit has voltage source of 5V and resistors of 20Ω. | 9 | | 5 | Solve the problem with the help of Norton's theorem and find the current through the RL (52) resistor. The circuit has a voltage source of 30V and resistors of 5Ω, 4Ω, 100Ω, 50Ω, and 6Ω. | 9 | | 6 | Interpret the selection factors for choosing a sensor. | 10 | | 7 | Analyze Idc, Irms, ripple factor and rectifier efficiency of a Full Wave bridge rectifier circuit. | 12 | | 8 | Define the MMF. Determine the ampere-turn required to produce a flux of 8x10-4 wb for the following. A ring has mean diameter of 21 cm and cross-sectional area 10 cm2. The ring is made up of semi-circle sections of cast iron and cast steel with each joint having reluctance equal to an air gap of 0.2 mm. Assume the relative permeability of cast steel and cast iron are 800 and 200 respectively. Neglect fringing and leakage current. | 15 | | 9 | Define the Magnetic Field Intensity. A coil of insulated wire of 1000 turns and 5 ohm resistance is closely wound on a cast iron ring. The ring has mean diameter of 25 cm and uniform cross-sectional area 20 cm2. Determine total flux in the ring when 15 V DC supply connected two ends of the winding. Assume the relative permeability of cast iron is 250. | 15 | | 10 | (a) Design a pure inductive AC circuit and derive its current and voltage. (b) If 500 µH inductor, 80/2 pF capacitor and a 628 Ω resistor are connected to form a series RLC circuit. Calculate the resonant frequency, and also find impedance and power-factor at resonant frequency. | 18 | # GGALGOTIAS UNIVERSITY # School of Engineering # B.TECH Civil Engineering ### Semester End Examination - Feb 2024 ### Sem I-C1UB129T -Chemical and Biological Materials #### General Instructions - Answer to the specific question asked - Draw neat, labelled diagrams wherever necessary - Approved data hand books are allowed subject to verification by the Invigilator | Question | Description | Marks | |---|---|---| | 1 | Define the term biocompatibility with an example. | 3 | | 2 | Illustrate the role of chemical sensor in fire detection. | 4 | | 3 | Explain the limitations of biofuels. | 6 | | 4 | Summarize the advantages and disadvantages of optical switch. | 6 | | 5 | Explain the application of gas sensor in healthcare sector. | 6 | | 6 | Predict the role of biomaterials in medical devices. | 9 | | 7 | Explain the role of chemical sensor in mobile devices. | 9 | | 8 | Compare the four types of gas sensors. | 8 | | 9 | How does the use of biosensors take part in our day to day life in fitness and entertainment? | 12 | | 10 | Elaborate the application of chemical sensors in various wearable devices. | 10 | | 11 | Justify the role of chemical sensor in industrial emission control. | 15 | | 12 | Explain the operating principle of gas sensors. OR Describe the use of carbon based nanocomposites for various applications. OR Assess the role of liquid crystals in development of holographic devices. | 15 or 12 | # School of Computing Science and Engineering ## Bachelor of Technology in Computer Science and Engineering ### Semester End Examination - Jun 2024 ### Sem II - C1UB129T - Chemical and Biological Materials #### General Instructions - Answer to the specific question asked - Draw neat, labelled diagrams wherever necessary - Approved data hand books are allowed subject to verification by the Invigilator | Question | Description | Marks | |---|---|---| | 1 | What is the recognition element of a biosensor? | 2 | | 2 | Illustrate the role of chemical sensor in fire detection. | 4 | | 3 | Explain the features of biosensors. | 6 | | 4 | Explain the hydrophobic nature of ceramic surfaces with respect to biomedical applications. | 6 | | 5 | Discuss the salient characteristics of biosensors for various applications. | 9 | | 6 | Predict the applications of carbon based nanocomposites for various applications. | 9 | | 7 | Explain the role of chemical sensor in mobile devices. | 9 | | 8 | Compare the purpose and applications of various biosensors with examples. | 8 | | 9 | Analyze the use of chemical sensors for (a) fire detection (b) wearable devices | 12 | | 10 | What are infrared sensors? How are they useful? | 10 | | 11 | Explain the working of liquid crystals in spatial light modulators. | 15 | | 12 | Explain the working mechanism of liquid crystal displays. Describe the functioning of a biosensor with the help of schematic representation. OR Predict the future of biofules. | 15 or 12 | # School of Computing Science and Engineering ## Bachelor of Technology in Computer Science and Engineering ### Mid Term Examination - May 2024 ### Sem II-C1UC224T - Discrete Mathematics #### General Instructions - Answer to the specific question asked - Draw neat, labelled diagrams wherever necessary - Approved data hand books are allowed subject to verification by the Invigilator | Question | Description | Marks | |---|---|---| | 1 | Let P(x) be the statement "x = 2x." If the domain consists of the integers, what are the truth values of the following? a) P(2) b) ∃xP(x) | 2 | | 2 | Three cards are chosen one after the other from a 52-card deck. Find the number of ways this can be done: (a) with replacement; (b) without replacement. | 3 | | 3 | What is the converse, contrapositive, and inverse of the conditional statement "If a positive integer has no divisors other than 1 and itself, then it is prime." | 4 | | 4 | Let R be a relation on the set R of real numbers defined by R = {(x,y): |x - y|< 1}. Show that R is reflexive and symmetric but not transitive. | 5 | | 5 | How many cards must be selected from a deck of 52 cards to guarantee that at least 5 cards of the same suit are chosen? | 5 | | 6 | a) Let f and g be the functions f(x) = √x and g(x) = x²+1. Find the composition functions fog and gof. b) Prove that the function f: R → R+ given by f(x) = e^x and g: R+ → R given by g(x) = In(x) are inverse of each other. | 9 | | 7 | Construct a truth table for the compound proposition: (p→r) → (q∨r) | 8 | | 8 | Let R be the relation defined on the set Z of integers as follows: for integers a and b, aRb if and only if a=b (mod 4), that is, aRb if 4 divides (a-b). 1. Show that R is an equivalence relation on Z. 2. What are the equivalence class containing [0]? OR 1. Prove that if n is an odd integer, then n^2 is odd. 2. Prove that √2 is irrational by giving a proof by contradiction. | 12 | # School of Engineering ## B.TECH Electronics and Communication Engineering ### Semester End Examination - Jan 2024 ### Sem I - G2UC101B - Introduction to Digital System #### General Instructions - Answer to the specific question asked - Draw neat, labelled diagrams wherever necessary - Approved data hand books are allowed subject to verification by the Invigilator | Question | Description | Marks | |---|---|---| | 1 | What are Universal Gates? Interpret your answer through some examples. | 2 | | 2 | Prove that (A + B)' = A'. B' and (A.B)' = (A' + B'). | 4 | | 3 | (a) Subtract 9 from 4, Using 2's complement method. (b) What do you mean by a bubbled AND gate? | 6 | | 4 | Obtain the simplified expression form, F(A,B,C,D) = Σm(5,6,7,8,9,12,13,14). | 9 | | 5 | Sketch the equivalent circuit of OR, NOR & NOT, XOR logics using NAND gate.| 9 | | 6 | Identify the difference between combinational and sequential circuits. How do you build a latch using Universal gates? | 10 | | 7 | Explain a full subtractor circuit and find out its outputs. Show how it can be realized using two half subtractors. Why are subtractor IC's not available? | 12 | | 8 | Convert AB+AC'+BC into standard SOP form. Convert (A+B).(A+C).(B+C') into standard POS form. Why is minimization of switching functions required? | 15 | | 9 | Simplify the boolean function in sum of products using don't care condition. F = x'y' + y', d = yz + xy. (ii) Represent the decimal number 39 in binary code, octal code, BCD code, Hexadecimal code, excess-3 code, gray code. | 15 | | 10 | Minimize the four-variable logic function using K-Map, f(A,B,C,D)= (A+B+C+D' ).(A'+C+D' ).(A'+B+C+D' ).(B'+C). (B'+C' ).(A+B') (B'+D'). And also draw the logical circuit using basic gates. | 18 | # School of Computing Science and Engineering ## Bachelor of Technology in Computer Science and Engineering ### Semester End Examination - Feb 2024 ### Sem I-C1UD124B - Semiconductor and Optoelectronic Devices #### General Instructions - Answer to the specific question asked - Draw neat, labelled diagrams wherever necessary - Approved data hand books are allowed subject to verification by the Invigilator | Question | Description | Marks | |---|---|---| | 1 | Explain the total internal reflection with ray diagram in a optical fiber and write the condition of total internal reflection | 3 | | 2 | Classify the solids based on energy band gap. Write down the values of energy band gap for Silicon and Germanium. | 4 | | 3 | Fermi energy for Zinc is 9.4 eV and for unknown metal it is 2.35 eV. Find the ratio of density of electrons in Zinc to unknown metal | 6 | | 4 | Find the ground state energy of an electron trapped in a one dimensional infinite potential box of width 1.5 Angstrom. | 6 | | 5 | Explain the various components of Laser: (i) Active centres (ii) Metastable state (iii) Life time (iv) pumping (v) Resonant cavity | 6 | | 6 | What are matter waves? Show that the wavelength A associated with a particle of mass m and kinetic energy E is given by A=h/v2mb | 9 | | 7 | Discuss the mobility and conductivity of materials. Obtain an expression for the conductivity of an intrinsic semiconductor. | 9 | | 8 | A diode with potential barrier 0.6 V across its junction, is connected in series with resistance of 24 Ω across source. If 0.2 A current passes through resistance, calculate the source voltage. Also draw the circuit diagram and mention the biasing of the diode | 8 | | 9 | Design the forward and reversed biased circuit by connecting the ammeter and voltmeter using p-n junction diode. Analyze the I-V curve of the diode in forward and reversed biasing conditions. Why static resistance in the case of forward biasing is low? | 12 | | 10 | Indicate the position of Fermi level in n-type and p-type semiconductors in the band diagram by increasing the dopant concentration. Evaluate the Fermi function for an energy KBT above the Fermi energy in a semiconductor. Where, kB is the Boltzmann constant and T is temperature in Kelvin. | 10 | | 11 | Describe the Einstein's photo electric effect with schematic diagram, also sketch the labeled graphs between potential and current at two different frequencies of radiations. OR Describe in details the lithography technique for the integrated circuit printing. | 15 | | 12 | Explain density of states in a solid. Derive the mathematical expression for density of states. OR Show that in an intrinsic semiconductor the conductivity of the material is given by the expression; s=en (ue +up), where [s=conductivity, n carrier density pe mobility of electron and up= mobility of hole and e= electronic charge]. The intrinsic carrier density of Ge at 27°C is 2.4.X10m Calculate its resistivity, if the electron and hole mobility are 0.35m² and 0.18m² respectively. | 12 | # School of Engineering ## B.TECH (For all branches) ### Semester End Examination - Jan 2024 ### Sem 1-E2UC102C-Programming for Problem Solving #### General Instructions - Answer to the specific question asked - Draw neat, labelled diagrams wherever necessary - Approved data hand books are allowed subject to verification by the Invigilator | Question | Description | Marks | |---|---|---| | 1 | Define a function that takes a list as input and returns the sum of all elements in the list. | 2 | | 2 | Interpret the output of the following Python code snippet? ct = [0, 1, 2, 3] and x-2 Write a python function to print the output, until the termination of the loop occurred. for x not in ct: print(x) x += 1 | 4 | | 3 | Draw the flowchart of given question and Check how many times a given number can be divided by 3 before it is less than or equal to 10 | 6 | | 4 | Define Dictionary and explain the method used to access the item in the dictionary. Also, Write a pseudo code and Python script to sort (ascending and descending) a dictionary by value and find the smallest and largest value in the dictionary. | 9 | | 5 | Explain Data types and variables in C programming language. Also, Write a pseudo code and program to calculate simple interest for a given P=4000, T=2, R=5.5. (I =P*T*R/100) | 9 | | 6 | Scenario Here is a short story: Once upon a time in Appleland, John had three apples, Mary had five apples, and Adam had six apples. They were all very happy and lived for a long time. End of story. Your task is to: create the variables: john, mary, and adam; assign values to the variables. The values must be equal to the numbers of fruit possessed by John, Mary, and Adam respectively; having stored the numbers in the variables, print the variables on one line, and separate each of them with a comma; now create a new variable named total_apples equal to the addition of the three previous variables, print the value stored in total_apples to the console; | 10 | | 7 | Let us take a simple problem of counting the number of flights in the airport. At the start of the day there were 100 flights in the airport. Based on the number of takeoffs and number of landings in a day, how would you figure out the current number of flights in the airport? For this problem write an algorithm, draw a flowchart and create pseudocode. | 12 | | 8 | Write C program to take input 2 matrixs and calculte multiplication and print output, but before multiplication you must ensure multiplication is possible or not. | 15 | | 9 | Design a flow chart and C program to convert hexadecimal to integer | 15 | | 10 | You are given a Python code snippet that includes variable assignments, keywords, and mathematical expressions. Your task is to analyze and answer questions related to this code snippet: x = 5. y = 3.0 z = "Hello, World!" result1 = x + y*2 result2 = x/2+y result3 = z + " Python" result4 = result1 // 2 result5 = x **2-2*y is_true = result1 >= result2 is_false = x != y Assign appropriate data types to the variables x, y, and z based on their values. Calculate and provide the values of result1, result2, and result3. Calculate and provide the values of result4 and results. Determine whether is_true is True or False and explain your answer. Determine whether is_false is True or False and explain your answer. | 18 |