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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.

  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.

  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

  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

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


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


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

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

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

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

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

    The law R = a + bV2 is of the form

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

  17. If then the sequence x[n] is

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