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ECE :: Exam Questions Paper

  1. To realize following function 'f'

    How many minimum number of 2 input NAND gates are required?

  2. A.
    3
    B.
    6
    C.
    4
    D.
    10

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  3. A uniform plane wave in air with H = 3 sin (ωt - 8x)uzA/m is incident normally on a region with σ = 0, μr = 1, εr = 9. The reflection coefficient is

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  5. A memoryless source emits n symbols each with a probability p. The entropy of the source as a function of n

  6. A.
    increases as log n
    B.
    decreases as log (1/n)
    C.
    increases as n
    D.
    increases as n log n

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  7. If (10) x x(10)x = (100)x; (100)x x (100)x = (10000)x then x can take value

  8. A.
    2
    B.
    5
    C.
    10
    D.
    All

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  9. Assuming that flip-flops are in reset condition initially, the count sequence observed at QA in the circuit shown is

  10. A.
    0010111...
    B.
    0001011...
    C.
    0101111...
    D.
    0110100...

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  11. The Taylor series expansion of at x = p is given by

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  13. F = ∑(0, 3, 4, 5, 7) =

  14. A.
    [B ⊕ C] + AC
    B.
    B'C' + BC + AC
    C.
    AB + BC + CA
    D.
    None

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  15. The matrix A is defined as A = . The eigen values of A2 are

  16. A.
    -1, -9, -4
    B.
    1, 9, 4
    C.
    1, 3, -2
    D.
    -1, -3, 2

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  17. A uniform plane wave travelling in air is incident on the plane boundary between air and another dielectric medium with er = 15. The reflection coefficient for normal incidence is

  18. A.
    0.6 ∠0°
    B.
    1 ∠0°
    C.
    0.6 ∠180°
    D.
    1.2 ∠180°

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  19. The system shown in figure remains stable when :

  20. A.
    k £ - 1
    B.
    -1 < k < 1
    C.
    l < k < 3
    D.
    k > 3

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