Success TrackerSuccess Tracker
Log inSign up

The PYQ practice room

GATE EC 2017 Set 2

All 65 solved GATE EC 2017 Set 2 questions in exam order. Open a question, commit to an answer, and learn from the step-by-step solution. One question at a time.

Attempt before revealInstant answer feedbackExplore questions
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.

Questions

65

Paper marks

100

Question formats

2

MCQ · NAT

Revision mode

Self-paced

No timer. Focus on understanding.

Difficulty mixEasy 21Medium 39Hard 5

Explore the questions

65 of 65 questions

General Aptitude (GA)

10
  1. Think it through. Then check your answer.

    Question

    The ninth and the tenth of this month are Monday and Tuesday ________.
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  2. Think it through. Then check your answer.

    Question

    It is ______ to read this year's textbook ______ the last year's.
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  3. Think it through. Then check your answer.

    Question

    A rule states that in order to drink beer, one must be over 1818 years old. In a bar, there are 44 people. PP is 1616 years old, QQ is 2525 years old, RR is drinking milkshake and SS is drinking a beer. What must be checked to ensure that the rule is being followed?
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  4. Think it through. Then check your answer.

    Question

    Fatima starts from point PP, goes North for 3 km3\text{ km}, and then East for 4 km4\text{ km} to reach point QQ. She then turns to face point PP and goes 15 km15\text{ km} in that direction. She then goes North for 6 km6\text{ km}. How far is she from point PP, and in which direction should she go to reach point PP?
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  5. Think it through. Then check your answer.

    Question

    500500 students are taking one or more courses out of Chemistry, Physics, and Mathematics. Registration records indicate course enrolment as follows: Chemistry (329329), Physics (186186), Mathematics (295295), Chemistry and Physics (8383), Chemistry and Mathematics (217217), and Physics and Mathematics (6363). How many students are taking all 33 subjects?
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  6. Think it through. Then check your answer.

    Question

    "If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for the reason of the cleaving of the subcontinent into two mutually antagonistic parts and the effects this mutilation will have in the respective sections, and ultimately on Asia, you will not find it in these pages; for though I have spent a lifetime in the country, I lived too near the seat of events, and was too intimately associated with the actors, to get the perspective needed for the impartial recording of these matters." Which of the following statements best reflects the author's opinion?
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  7. Think it through. Then check your answer.

    Question

    Each of P,Q,R,S,W,X,YP, Q, R, S, W, X, Y and ZZ has been married at most once. XX and YY are married and have two children PP and QQ. ZZ is the grandfather of the daughter SS of PP. Further, ZZ and WW are married and are parents of RR. Which one of the following must necessarily be FALSE?
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  8. Think it through. Then check your answer.

    Question

    1200 men and 500 women can build a bridge in 2 weeks. 900 men and 250 women will take 3 weeks to build the same bridge. How many men will be needed to build the bridge in one week?
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  9. Think it through. Then check your answer.

    Question

    The number of 3-digit numbers such that the digit 1 is never to the immediate right of 2 is
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  10. Think it through. Then check your answer.

    Question

    A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25 m25\text{ m} intervals in this plot.
    A contour map showing elevation lines at 25 m intervals. Points P, Q, R, S, and T are marked. Point P is at the center of a high-elevation area (575 m). Arrows indicate paths from P to Q, R, S, and T. A scale bar at the bottom right shows 0, 1, 2 km.
    Which of the following is the steepest path leaving from P?
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page

Electronics and Communication Engineering

55
  1. Think it through. Then check your answer.

    Question

    The rank of the matrix[1−1000001−1001−100−100010001−1]\begin{bmatrix} 1 & -1 & 0 & 0 & 0 \\ 0 & 0 & 1 & -1 & 0 \\ 0 & 1 & -1 & 0 & 0 \\ -1 & 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 & -1 \end{bmatrix}is _________.
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  2. Think it through. Then check your answer.

    Question

    The general solution of the differential equationd2ydx2+2dydx−5y=0\frac{d^2y}{dx^2} + 2\frac{dy}{dx} - 5y = 0in terms of arbitrary constants K1K_1 and K2K_2 is
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  3. Think it through. Then check your answer.

    Question

    The smaller angle (in degrees) between the planes x+y+z=1x + y + z = 1 and 2x−y+2z=02x - y + 2z = 0 is ______.
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  4. Think it through. Then check your answer.

    Question

    The residues of a function f(z)=1(z−4)(z+1)3f(z) = \frac{1}{(z-4)(z + 1)^3} are
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  5. Think it through. Then check your answer.

    Question

    In the circuit shown, VV is a sinusoidal voltage source. The current II is in phase with voltage VV. The ratio amplitude of voltage across the capacitoramplitude of voltage across the resistor\frac{\text{amplitude of voltage across the capacitor}}{\text{amplitude of voltage across the resistor}} is ________.
    A series circuit consisting of a sinusoidal voltage source $V$, a $5\ \Omega$ resistor, a $5\text{ H}$ inductor, and a $5\text{ F}$ capacitor. The current $I$ flows through the circuit.
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  6. Think it through. Then check your answer.

    Question

    A connection is made consisting of resistance AA in series with a parallel combination of resistances BB and CC. Three resistors of value 10 Ω,5 Ω,2 Ω10\ \Omega, 5\ \Omega, 2\ \Omega are provided. Consider all possible permutations of the given resistors into the positions A,B,CA, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ________.
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  7. Think it through. Then check your answer.

    Question

    An LTI system with unit sample response h[n]=5δ[n]−7δ[n−1]+7δ[n−3]−5δ[n−4]h[n] = 5\delta[n] - 7\delta[n-1] + 7\delta[n-3] - 5\delta[n-4] is a
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  8. Think it through. Then check your answer.

    Question

    The input x(t)x(t) and the output y(t)y(t) of a continuous-time system are related asy(t)=∫t−Ttx(u)du.y(t) = \int_{t-T}^{t} x(u) du.The system is
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  9. Think it through. Then check your answer.

    Question

    An nn-channel enhancement mode MOSFET is biased at VGS>VTHV_{GS} > V_{TH} and VDS>(VGS−VTH)V_{DS} > (V_{GS} - V_{TH}), where VGSV_{GS} is the gate-to-source voltage, VDSV_{DS} is the drain-to-source voltage and VTHV_{TH} is the threshold voltage. Considering channel length modulation effect to be significant, the MOSFET behaves as a
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  10. Think it through. Then check your answer.

    Question

    An npnnpn bipolar junction transistor (BJT) is operating in the active region. If the reverse bias across the base-collector junction is increased, then
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  11. Think it through. Then check your answer.

    Question

    Consider an nn-channel MOSFET having width WW, length LL, electron mobility in the channel μn\mu_n and oxide capacitance per unit area CoxC_{ox}. If gate-to-source voltage VGS=0.7 VV_{GS} = 0.7\text{ V}, drain-to-source voltage VDS=0.1 VV_{DS} = 0.1\text{ V}, (μnCox)=100 μA/V2(\mu_n C_{ox}) = 100\text{ }\mu\text{A/V}^2, threshold voltage VTH=0.3 VV_{TH} = 0.3\text{ V} and (W/L)=50(W/L) = 50, then the transconductance gmg_m (in mA/V) is __________.
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  12. Think it through. Then check your answer.

    Question

    The output VoV_o of the diode circuit shown in the figure is connected to an averaging DC voltmeter. The reading on the DC voltmeter in Volts, neglecting the voltage drop across the diode, is __________.
    Half-wave rectifier circuit with a diode, a $1\text{ k}\Omega$ resistor, and a $10 \sin \omega t$ source
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  13. Think it through. Then check your answer.

    Question

    In the figure, D1D_1 is a real silicon pnpn junction diode with a drop of 0.7 V0.7\text{ V} under forward bias condition and D2D_2 is a Zener diode with breakdown voltage of −6.8 V-6.8\text{ V}. The input Vin(t)V_{in}(t) is a periodic square wave of period TT, whose one period is shown in the figure.
    A circuit diagram showing an input voltage $V_{in}(t)$ connected to a $10\text{ }\mu\text{F}$ capacitor in series with a parallel combination of a $10\text{ }\Omega$ resistor and a branch containing two diodes $D_1$ and $D_2$ in series. $D_1$ is a standard diode pointing downwards, and $D_2$ is a Zener diode pointing upwards. The input waveform is a square wave alternating between $+14\text{ V}$ and $-14\text{ V}$ with period $T$.
    Assuming 10τ≪T10\tau \ll T, where τ\tau is the time constant of the circuit, the maximum and minimum values of the output waveform are respectively,
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  14. Think it through. Then check your answer.

    Question

    Consider the circuit shown in the figure. Assume base-to-emitter voltage VBE=0.8 VV_{BE} = 0.8\text{ V} and common-base current gain (α\alpha) of the transistor is unity.
    BJT circuit diagram with voltage divider bias
    The value of the collector-to-emitter voltage VCEV_{CE} (in volt) is ________
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  15. Think it through. Then check your answer.

    Question

    For the circuit shown in the figure, PP and QQ are the inputs and YY is the output.
    CMOS circuit with PMOS and NMOS transistors
    The logic implemented by the circuit is
    1. A.
      XNOR
    2. B.
      XOR
    3. C.
      NOR
    4. D.
      OR

    Answer checking is unavailable for this question. You can review the published solution without a score.

    Open question page
  16. Think it through. Then check your answer.

    Question

    Consider the circuit shown in the figure.
    Circuit diagram with two 2-to-1 multiplexers and an inverter
    The Boolean expression FF implemented by the circuit is
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  17. Think it through. Then check your answer.

    Question

    In a DRAM,
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  18. Think it through. Then check your answer.

    Question

    For the system shown in the figure, Y(s)/X(s)=________Y(s)/X(s) = \_\_\_\_\_\_\_\_
    Control system block diagram with feedback and feedforward paths
    📷 Figure: G(s)=2G(s) = 2
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  19. Think it through. Then check your answer.

    Question

    Consider the state space realization[x˙1(t)x˙2(t)]=[010−9][x1(t)x2(t)]+[045]u(t), with the initial condition [x1(0)x2(0)]=[00],\begin{bmatrix} \dot{x}_1(t) \\ \dot{x}_2(t) \end{bmatrix} = \begin{bmatrix} 0 & 1 \\ 0 & -9 \end{bmatrix} \begin{bmatrix} x_1(t) \\ x_2(t) \end{bmatrix} + \begin{bmatrix} 0 \\ 45 \end{bmatrix} u(t), \text{ with the initial condition } \begin{bmatrix} x_1(0) \\ x_2(0) \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \end{bmatrix},where u(t)u(t) denotes the unit step function. The value of lim⁡t→∞∣x12(t)+x22(t)∣\lim_{t \to \infty} \left| \sqrt{x_1^2(t) + x_2^2(t)} \right| is ______.
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  20. Think it through. Then check your answer.

    Question

    Which of the following statements is incorrect?
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  21. Think it through. Then check your answer.

    Question

    Which one of the following graphs shows the Shannon capacity (channel capacity) in bits of a memoryless binary symmetric channel with crossover probability pp?
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  22. Think it through. Then check your answer.

    Question

    Consider the random processX(t)=U+Vt,X(t) = U + Vt,where UU is a zero-mean Gaussian random variable and VV is a random variable uniformly distributed between 0 and 2. Assume that UU and VV are statistically independent. The mean value of the random process at t=2t = 2 is ________.
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  23. Think it through. Then check your answer.

    Question

    A sinusoidal message signal is converted to a PCM signal using a uniform quantizer. The required signal-to-quantization noise ratio (SQNR) at the output of the quantizer is 40 dB. The minimum number of bits per sample needed to achieve the desired SQNR is ________.
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  24. Think it through. Then check your answer.

    Question

    Two conducting spheres S1 and S2 of radii aa and bb (b>ab > a) respectively, are placed far apart and connected by a long, thin conducting wire, as shown in the figure.
    Two conducting spheres S1 and S2 connected by a wire
    For some charge placed on this structure, the potential and surface electric field on S1 are VaV_a and EaE_a, and that on S2 are VbV_b and EbE_b, respectively. Then, which of the following is CORRECT?
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  25. Think it through. Then check your answer.

    Question

    A two-wire transmission line terminates in a television set. The VSWR measured on the line is 5.8. The percentage of power that is reflected from the television set is ___________
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  26. Think it through. Then check your answer.

    Question

    The values of the integrals∫01∫01x−y(x+y)3 dy dx\int_{0}^{1} \int_{0}^{1} \frac{x - y}{(x + y)^3} \, dy \, dxand∫01∫01x−y(x+y)3 dx dy\int_{0}^{1} \int_{0}^{1} \frac{x - y}{(x + y)^3} \, dx \, dyare
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  27. Think it through. Then check your answer.

    Question

    An integral II over a counterclockwise circle CC is given byI=∮Cz2−1z2+1ez dzI = \oint_{C} \frac{z^2-1}{z^2+1} e^z \, dzIf CC is defined as ∣z∣=3|z| = 3, then the value of II is
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  28. Think it through. Then check your answer.

    Question

    If the vector function F=ax(3y−k1z)+ay(k2x−2z)–az(k3y+z)F = a_x(3y - k_1z) + a_y(k_2x - 2z) – a_z(k_3y + z) is irrotational, then the values of the constants k1,k2k_1, k_2 and k3k_3, respectively, are
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  29. Think it through. Then check your answer.

    Question

    Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is 40%40\% chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is ___________
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  30. Think it through. Then check your answer.

    Question

    The minimum value of the function f(x)=13x(x2−3)f(x) = \frac{1}{3}x(x^2 - 3) in the interval −100≤x≤100-100 \leq x \leq 100 occurs at x=x =
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  31. Think it through. Then check your answer.

    Question

    The switch in the circuit, shown in the figure, was open for a long time and is closed at t=0t = 0.
    Circuit diagram with a 10 A current source, a 5 $\Omega$ resistor, a switch, and a branch with a 5 $\Omega$ resistor in series with a 2.5 H inductor.
    The current i(t)i(t) (in ampere) at t=0.5t = 0.5 seconds is ___________
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  32. Think it through. Then check your answer.

    Question

    Consider the circuit shown in the figure.
    A bridge-like circuit with resistors and a dependent current source.
    The Thevenin equivalent resistance (in Ω\Omega) across P-Q is __________.
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  33. Think it through. Then check your answer.

    Question

    Consider an LTI system with magnitude response∣H(f)∣={1−∣f∣20,∣f∣≤200,∣f∣>20|H(f)| = \begin{cases} 1 - \frac{|f|}{20}, & |f| \leq 20 \\ 0, & |f| > 20 \end{cases}and phase responsearg⁡{H(f)}=−2f.\arg \{H(f)\} = -2f.If the input to the system isx(t)=8cos⁡(20πt+π4)+16sin⁡(40πt+π8)+24cos⁡(80πt+π16),x(t) = 8 \cos \left( 20\pi t + \frac{\pi}{4} \right) + 16 \sin \left( 40\pi t + \frac{\pi}{8} \right) + 24 \cos \left( 80\pi t + \frac{\pi}{16} \right),then the average power of the output signal y(t)y(t) is ___________
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  34. Think it through. Then check your answer.

    Question

    The transfer function of a causal LTI system is H(s)=1/sH(s) = 1/s. If the input to the system is x(t)=[sin⁡(t)/πt]u(t)x(t) = [\sin(t)/\pi t] u(t), where u(t)u(t) is a unit step function, the system output y(t)y(t) as t→∞t\to \infty is
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  35. Think it through. Then check your answer.

    Question

    Consider the parallel combination of two LTI systems shown in the figure.
    Parallel combination of two LTI systems $h_1(t)$ and $h_2(t)$
    The impulse responses of the systems areh1(t)=2δ(t+2)−3δ(t+1)h_1(t) = 2\delta(t + 2) - 3\delta(t + 1)h2(t)=δ(t−2)h_2(t) = \delta(t - 2)If the input x(t)x(t) is a unit step signal, then the energy of y(t)y(t) is ________.
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  36. Think it through. Then check your answer.

    Question

    A MOS capacitor is fabricated on p-type Si (Silicon) where the metal work function is 4.1 eV and electron affinity of Si is 4.0 eV. Ec−EF=0.9E_c - E_F = 0.9 eV, where EcE_c and EFE_F are the conduction band minimum and the Fermi energy levels of Si, respectively. Oxide ϵr=3.9\epsilon_r = 3.9, ϵ0=8.85×10−14\epsilon_0 = 8.85 \times 10^{-14} F/cm, oxide thickness tox=0.1t_{ox} = 0.1 μ\mu m and electronic charge q=1.6×10−19q = 1.6 \times 10^{-19} C. If the measured flat band voltage of this capacitor is −1-1 V, then the magnitude of the fixed charge at the oxide-semiconductor interface, in nC/cm2^2, is
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  37. Think it through. Then check your answer.

    Question

    For a particular intensity of incident light on a silicon pnpn junction solar cell, the photocurrent density (JLJ_L) is 2.5 mA/cm22.5 \text{ mA/cm}^2 and the open-circuit voltage (VocV_{oc}) is 0.451 V0.451 \text{ V}. Consider thermal voltage (VTV_T) to be 25 mV25 \text{ mV}. If the intensity of the incident light is increased by 20 times, assuming that the temperature remains unchanged, VocV_{oc} (in volts) will be
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  38. Think it through. Then check your answer.

    Question

    Two nn-channel MOSFETs, T1 and T2, are identical in all respects except that the width of T2 is double that of T1. Both the transistors are biased in the saturation region of operation, but the gate overdrive voltage (VGS−VTHV_{GS} - V_{TH}) of T2 is double that of T1, where VGSV_{GS} and VTHV_{TH} are the gate-to-source voltage and threshold voltage of the transistors, respectively. If the drain current and transconductance of T1 are ID1I_{D1} and gm1g_{m1} respectively, the corresponding values of these two parameters for T2 are
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  39. Think it through. Then check your answer.

    Question

    An abrupt pnpn junction (located at x=0x = 0) is uniformly doped on both pp and nn sides. The width of the depletion region is WW and the electric field variation in the xx-direction is E(x)E(x). Which of the following figures represents the electric field profile near the pnpn junction?
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  40. Think it through. Then check your answer.

    Question

    Assuming that transistors M1M_1 and M2M_2 are identical and have a threshold voltage of 1 V1\text{ V}, the state of transistors M1M_1 and M2M_2 are respectively
    Circuit diagram showing two NMOS transistors M1 and M2 in series. M2 is on top with its drain at 3V and gate at 2.5V. M1 is at the bottom with its source grounded and gate at 2V.
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  41. Think it through. Then check your answer.

    Question

    In the circuit shown, transistors Q1Q_1 and Q2Q_2 are biased at a collector current of 2.6 mA2.6\text{ mA}. Assuming that transistor current gains are sufficiently large to assume collector current equal to emitter current and thermal voltage of 26 mV26\text{ mV}, the magnitude of voltage gain Vo/VsV_o/V_s in the mid-band frequency range is _______ (up to second decimal place).
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  42. Think it through. Then check your answer.

    Question

    In the voltage reference circuit shown in the figure, the op-amp is ideal and the transistors Q1,Q2,…,Q32Q_1, Q_2, \dots, Q_{32} are identical in all respects and have infinitely large values of common-emitter current gain (β\beta). The collector current (ICI_C) of the transistors is related to their base-emitter voltage (VBEV_{BE}) by the relation IC=ISexp⁡(VBE/VT)I_C = I_S \exp(V_{BE}/V_T), where ISI_S is the saturation current. Assume that the voltage VPV_P shown in the figure is 0.7 V0.7\text{ V} and the thermal voltage VT=26 mVV_T = 26\text{ mV}. The output voltage VoutV_{out} (in volts) is _______.
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  43. Think it through. Then check your answer.

    Question

    The state diagram of a finite state machine (FSM) designed to detect an overlapping sequence of three bits is shown in the figure. The FSM has an input 'In' and an output 'Out'. The initial state of the FSM is S0S_0.
    State diagram of a finite state machine
    If the input sequence is 10101101001101, starting with the left-most bit, then the number of times 'Out' will be 1 is _______
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  44. Think it through. Then check your answer.

    Question

    Figure I shows a 4-bit ripple carry adder realized using full adders and Figure II shows the circuit of a full-adder (FA). The propagation delay of the XOR, AND and OR gates in Figure II are 20 ns, 15 ns and 10 ns, respectively. Assume all the inputs to the 4-bit adder are initially reset to 0.
    Figure I - 4-bit ripple carry adder
    Figure II - Full adder circuit
    At t=0t = 0, the inputs to the 4-bit adder are changed to X3X2X1X0=1100X_3X_2X_1X_0 = 1100, Y3Y2Y1Y0=0100Y_3Y_2Y_1Y_0 = 0100 and Z0=1Z_0 = 1. The output of the ripple carry adder will be stable at tt (in ns) = ________.
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  45. Think it through. Then check your answer.

    Question

    A programmable logic array (PLA) is shown in the figure.
    PLA diagram
    The Boolean function FF implemented is
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  46. Think it through. Then check your answer.

    Question

    A unity feedback control system is characterized by the open-loop transfer functionG(s)=2(s+1)s3+ks2+2s+1G(s) = \frac{2(s + 1)}{s^3 + ks^2 + 2s + 1}The value of kk for which the system oscillates at 2 rad/s2\text{ rad/s} is ________.
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  47. Think it through. Then check your answer.

    Question

    A second-order LTI system is described by the following state equations,ddtx1(t)−x2(t)=0\frac{d}{dt}x_1(t) - x_2(t) = 0ddtx2(t)+2x1(t)+3x2(t)=r(t)\frac{d}{dt}x_2(t) + 2x_1(t) + 3x_2(t) = r(t)where x1(t)x_1(t) and x2(t)x_2(t) are the two state variables and r(t)r(t) denotes the input. The output c(t)=x1(t)c(t) = x_1(t). The system is
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  48. Think it through. Then check your answer.

    Question

    A unity feedback control system is characterized by the open-loop transfer functionG(s)=10K(s+2)s3+3s2+10G(s) = \frac{10K(s + 2)}{s^3 + 3s^2 + 10}The Nyquist path and the corresponding Nyquist plot of G(s)G(s) are shown in the figures below.
    Nyquist Path and Nyquist Plot
    If 0<K<10 < K < 1, then the number of poles of the closed-loop transfer function that lie in the right-half of the ss-plane is
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  49. Think it through. Then check your answer.

    Question

    The signal x(t)=sin⁡(14000πt)x(t) = \sin(14000\pi t), where tt is in seconds, is sampled at a rate of 9000 samples per second. The sampled signal is the input to an ideal lowpass filter with frequency response H(f)H(f) as follows:H(f)={1,∣f∣≤12 kHz0,∣f∣>12 kHzH(f) = \begin{cases} 1, & |f| \leq 12 \text{ kHz} \\ 0, & |f| > 12 \text{ kHz} \end{cases}What is the number of sinusoids in the output and their frequencies in kHz?
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  50. Think it through. Then check your answer.

    Question

    The unmodulated carrier power in an AM transmitter is 5 kW5 \text{ kW}. This carrier is modulated by a sinusoidal modulating signal. The maximum percentage of modulation is 50%50\%. If it is reduced to 40%40\%, then the maximum unmodulated carrier power (in kW) that can be used without overloading the transmitter is ___________
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  51. Think it through. Then check your answer.

    Question

    A modulating signal given by x(t)=5sin⁡(4π103t−10πcos⁡2π103t) Vx(t) = 5 \sin(4\pi 10^3 t - 10\pi \cos 2\pi 10^3 t) \text{ V} is fed to a phase modulator with phase deviation constant kp=5 rad/Vk_p = 5 \text{ rad/V}. If the carrier frequency is 20 kHz20 \text{ kHz}, the instantaneous frequency (in kHz) at t=0.5 mst = 0.5 \text{ ms} is ___________
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  52. Think it through. Then check your answer.

    Question

    Consider a binary memoryless channel characterized by the transition probability diagram shown in the figure.
    transition probability diagram of a binary memoryless channel with inputs 0, 1 and outputs 0, 1. Transition probabilities are P(0|0)=0.25, P(1|0)=0.75, P(0|1)=0.25, P(1|1)=0.75
    The channel is
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  53. Think it through. Then check your answer.

    Question

    An electron (q1q_1) is moving in free space with velocity 10510^5 m/s towards a stationary electron (q2q_2) far away. The closest distance that this moving electron gets to the stationary electron before the repulsive force diverts its path is __________ ×10−8\times 10^{-8} m.
    [Given, mass of electron m=9.11×10−31m = 9.11 \times 10^{-31} kg, charge of electron e=−1.6×10−19e = -1.6 \times 10^{-19} C, and permittivity ϵ0=(1/36π)×10−9\epsilon_0 = (1/36\pi) \times 10^{-9} F/m]
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  54. Think it through. Then check your answer.

    Question

    Standard air-filled rectangular waveguides of dimensions a=2.29a = 2.29 cm and b=1.02b = 1.02 cm are designed for radar applications. It is desired that these waveguides operate only in the dominant TE10TE_{10} mode with the operating frequency at least 25%25\% above the cutoff frequency of the TE10TE_{10} mode but not higher than 95%95\% of the next higher cutoff frequency. The range of the allowable operating frequency ff is
    Your answer

    Choose one option, then check your answer.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page
  55. Think it through. Then check your answer.

    Question

    The permittivity of water at optical frequencies is 1.75ϵ01.75 \epsilon_0. It is found that an isotropic light source at a distance dd under water forms an illuminated circular area of radius 5 m5\text{ m}, as shown in the figure. The critical angle is θc\theta_c.
    A diagram showing a light source at depth $d$ in water. Light rays travel upwards to the water-air interface. The rays at the critical angle $\theta_c$ define the boundary of an illuminated circular area of radius $5\text{ m}$ on the surface.
    The value of dd (in meter) is ________.
    Your answer

    Enter a number. Decimals, negative values and scientific notation are accepted.

    Restoring your progress…

    The solution stays hidden until you check.
    Open question page