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  1. A continuous time LTI system is described by

    Assuming zero initial conditions, the response y(t) of the above system for the input x(t) = e-2t u(t) is given by

  2. A.
    (et - e3t) u(t)
    B.
    (e-t - 3e-3t) u(t)
    C.
    (e-t + e-3t) u(t)
    D.
    (et + e3t) u(t)

  3. The analog signal given below is sampled by 600 samples per second
    m(t) = 2 sin 480pt + 3 sin 720pt
    The folding (maximum) frequency is __________ .

  4. A.
    600 Hz
    B.
    120 Hz
    C.
    300 Hz
    D.
    360 Hz

  5. In the circuit shown, the power supplied by the voltage source

  6. A.
    0 W
    B.
    5 W
    C.
    10 W
    D.
    100 W

  7. In analog signal given below is sampled at such a rate that the samples of signal can be given to a collection of buffers having capacity of either 24 samples/sec. or 25 samples/sec. The sampling rate is minimum such that it fully utilizes the collection of both types of buffers m(t) = 2 sin 480pt + 3 sin 720 pt
    The folding (maximum) frequency is

  8. A.
    600 Hz
    B.
    300 Hz
    C.
    1200 Hz
    D.
    2400 Hz

  9. The system with given T.F. to be stable will be

  10. A.
    causal
    B.
    anticausal
    C.
    both sided
    D.
    non causal

  11. For a Gaussian process, auto-correlation also implies

  12. A.
    statistical dependence
    B.
    statistical independence
    C.
    ergodic process
    D.
    none of the above

  13. The eigen values of a skew symmetric matrix are

  14. A.
    always zero
    B.
    always pure imaginary
    C.
    either zero or pure imaginary
    D.
    always real

  15. An LTI system having transfer function and input x(t) = sin (t + 1) is in steady state. The output is sampled at a rate ωs rad/s to obtain the final output {y(k)}. Which of the following is true?

  16. A.
    y(.) is zero for all sampling frequencies ωs
    B.
    y(.) is nonzero for all sampling frequencies ωs
    C.
    y(.) is nonzero for ωs > 2, but zero for ωs > 2
    D.
    y(.) is zero for ωs > 2 but nonzero for ωs > 2

  17. The current I for the network

  18. A.
    0 mA
    B.
    10.72 mA
    C.
    10.94 mA
    D.
    11.32 mA

  19. A switch tail ring counter is made by using a single D FF. The resulting circuit is a

  20. A.
    SR FF
    B.
    JK FF
    C.
    D FF
    D.
    T FF