This set of MATLAB Multiple Choice Questions & Answers (MCQs) focuses on “Laplace Transform”.

1. The default Laplace transform, of functions, computed by MATLAB is __________**a) Unilateral**

b) Bilateral

c) Multipolar

d) Cannot be computed

2. The laplace transform of step function, u(t), can be calculated by using _____**a) syms t; laplace(t/t)**

b) laplace(1)

c) laplace(t/t)

d) sym t; laplace(t/t)

3. How many time domain representations of the following signal is possibly stable?

F(s)=2s+4/(s^{2}+4s+3)…. Where s is the Laplacian frequency

a) 2 for sigma>-1

b) 2 for sigma>-3**c) Only 1 for -3<sigma<-1**

d) 1 for sigma<-1

4. The Transfer Function of an L.T.I. system is ___________**a) the impulse response with 0 initial conditions**

b) the impulse response with some initial conditions

c) the ramp response with 0 initial conditions

d) the step response with 0 initial conditions

5. What will be the output of the following code?

syms ‘-t’; laplace(4*(-t))

**a) Syntactical Error**

b) The laplace transform of the time reversed ramp function.

c) -4/s^{2}

d) Logical Error

6. What is the output of the following code?

(z,p)=tf2zp([1],[1,0])

**a) Error**

b) z=0,p=0

c) z=0,p=1

d) z=1,p=0

7. The final value theorem is applicable if __________

a) Poles lie on right half of s plane**b) Poles lie on left half of s plane**

c) Poles lie on the imaginary axis

d) Zeros lie on left half of s plane

8. What is the output of the following code?

laplace[‘t^t’]

a) A gamma function**b) Error due to []**

c) Error due to ‘’

d) Cannot be determined

9. If f(t)=f_{1}(t)+f_{2}(t), the laplace transform of f(t) exists if f_{1}(t) and f_{2}(t) does not have the same R.O.C.

a) True**b) False**

10. What is the output of the following code?

[r,p,k]=residu(z,p);….. Assuming z and p are vectors of unequal length

a) Returns the transfer function as partial fractions

b) Returns the transfer function variable**c) Returns an error**

d) Cannot be determined

11. What is the output of the following code?

(r,p,k)=residue(z,p);….. Assuming z and p are vectors of unequal length

a) Returns the residue and poles for the partial fractions

b) Returns the zeros and poles**c) Returns a syntactical error**

d) Cannot be determined

12. What is the default variable used to represent the laplace transform in the output?**a) s**

b) z

c) S

d) p

13. A causal system is stable if the pole lies on the right half of the s-plane.

a) True**b) False**

14. The laplace transform of the following function.

f(t)= 3 when t=[0-5] = 0 otherwise is….. L denotes Laplace Transform

a) L{3u(t+3)-3u(t-5)}

b) L{3u[t+5]-u[t-5]}**c) L(3u(t)-3u(t-5))**

d) L(u[t]-3u[t+5])

15. What will be the output of the following code?

ilaplace(‘1/s’)

**a) Error**

b) 1

c) u(t)

d) 0

16. An L.T.I. system is stable if _______

a) Poles lie on left half of s-plane

b) The R.O.C. encompasses the imaginary axis

c) The poles lie on the left half of s-plane and the R.O.C. encompasses the imaginary axis**d) Cannot be determined**

17. The final value of the following transfer function is ________

F(s)= 2/s(s-824)

**a) Not calculable**

b) -1/412

c) 0

d) 1

18. The number of inverse lapalace transform of a function is equal to ________

a) the number of poles**b) the number of poles+1**

c) the number of poles-1

d) cannot be determined

19. The laplace transform method used to solve a differential function is ____ than the classical way.**a) Easier**

b) Harder

c) Moderately difficult

d) Relatively difficult

20. What is the output of the following code?

laplace[t,t,2]

a) 1/16**b) Error**

c) 1/s^2

d) Cannot be determined

21. The laplace transform of a cascaded system is defined if _______**a) the individual systems have a common R.O.C.**

b) the individual systems doesn’t have a common R.O.C.

c) the impulse response of each system is defined

d) cannot be determined

22. The inverse laplace transform of a function in s-domain is the transfer function of the system.

a) True**b) False**

23. The following output is defined for _______

>>ilaplace(1/s) >> ans= 1

a) t>0**b) t>=0**

c) for all t

d) t<0

24. The differential equation d2p/dt2=9t has a solution.

a) 3/(2*t^{3})**b) cannot be determined**

c) no solution

d) ilaplace(9/s^{4})

25. What is the output of the following code?

syms t; laplace(-t/t)

a) The laplace transform of u(-t)

b) The laplace transform of -u(t)

c) The laplace transform of -u(-t)**d) The laplace transform of -u(t)**