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ECE :: Exam Questions Paper

  1. A system described by the following differential equation is initially at rest. For input x(t) - 2u(t), the output y(t) is :

  2. A.
    (1 - 2e-t + e -2t)
    B.
    (1 + 2e-t - 2e -2t)u(t)
    C.
    (0.5 + e-t + 1.5e -2t)u(t)
    D.
    (0.5 + 2e-t + 2e -2t)u(t)

  3. A transmission line terminates in two branches, each of length λ/4, as shown. The branches are terminated by 50Ω loads. The lines are lossless and have the characteristics impedances shown. Determine the impedance Z1 as seen by the source

  4. A.
    200Ω
    B.
    100Ω
    C.
    50Ω
    D.
    25Ω

  5. The Nyquist plot of

  6. A.
    will start from (ω = ∞) in the first quadrant and will terminate (ω = 0) in the second quadrant
    B.
    will start from (ω = ∞) in the fourth quadrant and will terminate (ω = 0) in the second quadrant
    C.
    will start form (ω = ∞) in the second quadrant and will terminate (ω = 0) in the fourth quadrant
    D.
    will start from (ω = ∞) in the first quadrant and will terminate (ω = 0) in the fourth quadrant

  7. The counter shown in figure is built using 4 negative edge triggered toggle FFs. The FFs can be set synchronously when R = 0. The combinational logic required to realize a modulo 13 counter is

  8. A.
    F= Q4 Q3 Q2 Q1
    B.
    F= Q4 + Q3 + Q2 + Q1
    C.
    F = Q4 + Q3 + Q2 + Q1
    D.
    F = Q4 Q3 Q2 Q1

  9. Consider the following statements a half adder.

    1. As a half subtractor also
    2. has two outputs CH = x x y and Sn = xy for two inputs x and y
    3. has two outputs CH = x + y and SH = xy for two inputs x and y
    4. is a combinational circuit
    Which of the statements given above is/are correct?

  10. A.
    1, 3, 4
    B.
    1, 2, 4
    C.
    4 only
    D.
    2 and 3

  11. The expression given is F(A, B, C, D, E, F, G, H) = Σ(33, 48, 102, 158, 222, 229, 233, 243, 255); then the __________ and __________ minterms are grouped together into dual and variable __________ is reduced using the dual

  12. A.
    243, 233, D
    B.
    222, 158, B
    C.
    243, 255, A
    D.
    229, 243, E

  13. If for certain x(t), the Fourier transform is:

    Then for x(2t) the Fourier transform will be:

  14. A.
    B.
    C.
    D.
    same as X(jω)

  15. The circuit I in figure is

  16. A.
    1 mA
    B.
    4 mA
    C.
    8 mA
    D.
    10 mA

  17. In x = the value of x is

  18. A.
    10
    B.
    25
    C.
    36
    D.
    44

  19. The Z-inverse of the given Z-transform is __________

  20. A.
    unit step
    B.
    unit ramp
    C.
    unit impulse
    D.
    unit parabola