For the time domain function f(t) = t, the Laplace transform of ∫0 t f(t) dt is given by___________________?

Related Mcqs:

1. The Laplace transform of exp(at), where a > 0, is defined only for the Laplace parameter, s > a since______________?

   A. The function is exponential
   B. The Laplace transform of integral of exp(at) has finite values only for s > a
   C. The Laplace transform integral of exp(at) has initial values only for s > a
   D. The function exp(at) is piece-wise continuous only for s > a

2. For an input forcing function, X(t) = 2t2, the Laplace transform of this function is________________?

   A. 2/s2
   B. 4/s2
   C. 2/s3
   D. 4/s3

3. The inverse Laplace transform of the function f(S) = 1/S (1 + S) is_________________?

   A. 1 + et
   B. 1 – et
   C. 1 + e-t
   D. 1 – e-t

4. What is the Laplace transform of impulse input having magnitude „X‟ ?

   A. X
   B. X2
   C. 1/X
   D. 1

5. What is the Laplace transform of sin t ?

   A. 1/(s2 + 1)
   B. s/(1 + s2)
   C. 1/(s2 – 1)
   D. s/(s2 – 1)

6. In a closed loop system, the process to be controlled is an integrating process with transfer function 1/2s. The controller proposed to be used in an integral controller with transfer function 1/T1s. When a step change in set point is applied to such a closed loop system, the controlled variable will exhibit__________________?

   A. Overdamped response
   B. Underdamped response
   C. Undamped response
   D. Unstable response

7. The characteristic equation for the control system with a closed loop transfer function G1/1 + G2 is given by 1 + G2 = 0. The characteristic equation for the control system_________________?

   A. Depends only upon the open loop transfer function
   B. Determines its stability
   C. Is the same for set point or load changes
   D. All A , B & C.

8. Transfer function of transportation lag is___________________?

   A. eTS
   B. e-TS
   C. 1/(Ts + 1)
   D. None of these

9. For two non-interacting first order systems connected in series, the overall transfer function is the ______________ of the individual transfer functions?

   A. Product
   B. Ratio
   C. Sum
   D. Difference

10. The root locus plot of the roots of the characteristics equation of a closed loop system having the open loop transfer function K (s + 1)/[2 (2s + 1) (3s + 1)] will have a definite number of loci for variation of K from 0 to ∞. The number of loci is_______________?

    A. 1
    B. 2
    C. 3
    D. 4