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ECE :: Signals and Systems

  1. what will be sampling rate to aviod aliasing for the signal m(t) = 10 cos 100 pt?

  2. A.
    ≤ 100 n2
    B.
    ≥ 100 n2
    C.
    D.

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  3. If Laplace transform of f(t) is F(s), then =

  4. A.
    s F(s) - f(0-)
    B.
    C.
    s F(s) + f(0-)
    D.

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  5. Choose the function f(t), - ∞ < t < + ∞, for which a Fourier series cannot be defined

  6. A.
    3 sin (25t)
    B.
    4 cos (20t + 3) + 2 sin (10t)
    C.
    exp - | t | sin 25 t
    D.
    1

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  7. Assertion (A): The number ∈ such that the probability that an error is between -∈ and + ∈ is 1 is called probable error of single obserevation.

    Reason (R): The standard deviation is the arms value of the deviation from the arithmetic mean.

  8. A.
    Both A and R are correct and R is correct explanation of A
    B.
    Both A and R are correct but R is not correct explanation of A
    C.
    A is true, R is false
    D.
    A is false, R is true

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  9. Which of the following is the correct Laplace transform of the signal shown in the given figure

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  11. If x(t) and its first derivative are Laplace transformable and Laplace of transform x(t) is X(s), then x(t) is

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  13. If a function has only cosine terms, it must satisfy the equation

  14. A.
    f(t) = -f(t)
    B.
    f(-t) = f(t)
    C.
    f(-t) = -f(t)
    D.
    none of the above

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  15. If v(t) is a time varying voltage, is

  16. A.
    initial current
    B.
    initial voltage
    C.
    initial charge
    D.
    initial flux leakages

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  17. The data of speed of train V and resistance to motion R is

    The law R = a + bV2 is of the form

  18. A.
    6.7 + 0.0092 V2
    B.
    3 + 0.001 V2
    C.
    3.2 + 0.0012 V2
    D.
    5.2 + 0.006 V2

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  19. If then the sequence x[n] is

  20. A.
    periodic
    B.
    non-perodic
    C.
    depends on n
    D.
    none

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