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  • Question
  • If £[f(t)] = F(s), then £[f(t - T)] =


  • Options
  • A. est F(s)
  • B. e-st F(s)
  • C. If £[f(t)] = F(s), then £[f(t - T)] = est F(s) e-st F(s) A linear system is one in which the relatio
  • D. If £[f(t)] = F(s), then £[f(t - T)] = est F(s) e-st F(s) A linear system is one in which the relatio

  • Correct Answer
  • e-st F(s) 

    Explanation
    A linear system is one in which the relationship between input and output is linear.

    All linear system possess the property of superposition i.e., if input u1 gives output y1 and input u2 gives output y2 then input u1 + u2 will give output y1 + y2.

    Superposition implies homogencity i.e., if input u gives output y, then input ku gives output ky where k is a rational number.

    In general a system is linear if a transformation T satisfies the relation

    T(au1 + ?u2) = aT(u1) + ?T(u2)

    where a and ? are constant.


    More questions

    • 1. A copper atom is neutral. Its core has a net charge of

    • Options
    • A. 0
    • B. + 1
    • C. - 1
    • D. + 2
    • Discuss
    • 2. The characteristics of which device has peak point and valley point

    • Options
    • A. SCR
    • B. PUT
    • C. SCS
    • D. Shockley diode
    • Discuss
    • 3. Schrodinger wave equation is partial differential equation.

    • Options
    • A. True
    • B. False
    • Discuss
    • 4. The output frequency of a cycloconverter can be changed by changing the firing angle.

    • Options
    • A. True
    • B. False
    • Discuss
    • 5. Most of the memory chips in static RAM

    • Options
    • A. do not require any supply
    • B. need 2 V supply
    • C. need 5 V supply
    • D. need 12 V supply
    • Discuss
    • 6. In crystalline solids, atoms are stacked in a regular manner.

    • Options
    • A. True
    • B. False
    • Discuss
    • 7. The classes of solid dielectrics are

    • Options
    • A. A, B, C, D, E, F, H
    • B. A E B F H C D
    • C. Y A E B F H C
    • D. A E B F H C
    • Discuss
    • 8. The unit for mmf is

    • Options
    • A. A
    • B. Wb
    • C. T
    • D. V
    • Discuss
    • 9. In a single phase full wave regulator, the firing angles in the positive and negative half cycles are generally

    • Options
    • A. equal
    • B. different
    • C. equal or different
    • D. different but sometimes equal
    • Discuss
    • 10. The real part of complex dielectric constant and tan? for a dielectric are 2.1 and 5 x 10-4 at 100 Hz respectively. The imaginary part of dielectric constant at 100 Hz is

    • Options
    • A. 1.05 x 10-3
    • B. 2.1 x 10-3
    • C. 5 x 10-3
    • D. 1.05 x 10-2
    • Discuss


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