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Laplace Transform Question & Answers

February 17, 2023 By Wat Electrical

This article lists 100 Laplace transform MCQs for engineering students. All the Laplace transform Questions & Answers given below include a hint and a link wherever possible to the relevant topic. This is helpful for users who are preparing for their exams, or interviews, or professionals who would like to brush up on the fundamentals of Laplace transform.

A Laplace transform is a mathematical form that converts real type variable function to complex type variable function. These functions are represented in the s-domain or a complex frequency-type domain. There is a number of conversion formulas in the Laplace transform where the integral of Laplace transform is L{f}(s) = Integration (0àinfinity) = f(t) e ^-st dt.

Where f(t) is the time domain function, f(s) is the frequency domain function where “s” is given as sigma + jw. Laplace transform can be of different types such as bilateral Laplace transform, and Inverse Laplace transform.

A Laplace transform where the limit values are extended on both sides is called a bilateral Laplace transform. A Laplace transform where the inverse operation is performed on the Laplace function is inverse Laplace function. Any function that involves in Laplace function deals with a probability value.

The advantages of the Laplace transform include it represents ODE to simpler terms and changes the convolution type operators to multiplication operators. The disadvantages include it solves only known value constants and solving only complex equations and not simple ones. Laplace transform is used in fields such as optics, system modeling, and nuclear physics.

1).What is the linearity property of Laplace transform?

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2).What is the Frequency Shifting Property of Laplace Transform?

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3). What is the Integration of Laplace Transform?

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4). What is the Multiplication by Time of Laplace Transform?

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5). What is the Complex Shift Property of Laplace Transform?

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6). What is the Time Reversal Property of Laplace Transform?

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7). What is the Time Scaling Property of Laplace Transform?


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8). What is the standard notation of Laplace transform?

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9). What is the Laplace Transform of 1 is?

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10). What is the Laplace Transform of f'(t) is?

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11). What is the Laplace Transform of sin(at) is?

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12). What is the Laplace Transform of t sin(at) is?

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13). What is the Laplace Transform of sin(at +b) is?

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14). What is the Laplace Transform of sinh(at) is?

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15). What is the Laplace Transform of eat sin(bt) is?

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16). What is the Laplace Transform of ect f(t) is?

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17). What is the Laplace Transform of eat is?

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18). What is the Laplace Transform of cos(at) is?

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19). What is the Laplace Transform of t cos(at) is?

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20). What is the Laplace Transform of cos(at + b) is?

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21). What is the Laplace Transform of cosh(at) is?

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22). What is the Laplace Transform of e(at)cos((bt) is?

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23). What is the Laplace Transform of f’’(t) is?

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24). What is the Laplace Transform of √(t) is?

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25). A two-sided Laplace transforms with extending limits of integrations is _______?

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Laplace Transform MCQs for Exams

26). What is the Laplace transform of random variable X will be?

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27). Laplace Transform for simplifying the complicated differential equations by adding __________?

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28). Laplace transform is deployed in technical activities like?

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29). Major application of Laplace transform is in_____?

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30). What is the Inverse transform of the function F(s)?

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31). If the two Laplace transform, say F(s) and G(s), then what will be the Inverse Laplace transform?

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32). What is the Inverse Laplace transform of 1 is ?

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33). What is the Laplace transform of sin(at)−at cos(at) is ?

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34). What is the Laplace transform of sin(at) + at cos(at) is ?

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35). What is the Laplace transform of cos(at)−at sin(at) is?

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36). What is the Laplace transform of cos(at)−at sin(at) is?

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37). What is the Laplace transform of eat sinh(bt)?

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38). What is the Laplace transform of eat cosh(bt)?

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39). Laplace transform plays a important role in ?

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40). What is the Integration of Laplace transform?

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41). What is the Nth Derivative property of Laplace transform?

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42). What is the Inverse Laplace transform of 1/s?

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43). What is the Inverse Laplace transform of 1/s , L-1(1/sn)?

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44). What is the Inverse Laplace transform of (1/s2+a2)?

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45). What is the Inverse Laplace transform of (1/s-a)?

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46). What is the Inverse Laplace transform of (s/s2+a2)?

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47). What is the Inverse Laplace transform of (1/(s-a)2+b2)

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48). What is the Inverse Laplace transform of (s-a /(s-a)2+b2)

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49). Inverse Laplace transform is ____ type?

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50). The Inverse Laplace transform of 1 is _____ type of function?

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Laplace Transform MCQs for Interviews

51). Laplace transform purpose is?

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52). Laplace transform used in converting ____ functions?

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53). In which of the following field does laplace equation is used along with three-dimensional problem solving?

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54). In which of the following field laplace equation used along with 2D _______?

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55). What is the Laplace transform of δ(t)?

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56). Find the Laplace transform of e-at u(t) and its ROC?

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57). Find the Laplace transform of u(t) and its ROC?

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58). Find the inverse Laplace transform of F(s) = k/(s-a) (k and a are constants) is?

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59). Frequency domain is also called?

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60). What is the Value of ∫_(-∞)^∞ [e^t Sin(t)]dt?

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61). What is the value of ∫_(-∞)^∞[e^t log(1+t) ]dt?

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62). What is the Laplace transform of y(t) = e^t.t. Sint(t) cos(t)?

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63). What is the Laplace transform of L(cat) is ?

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64). What is the Laplace transform of d/(dt ) (sint/t)?

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65). What is the Laplace transform of (sinh⁡(at))/(t )?

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66). What is the mathematical representation of Inverse Laplace transform is _________?

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67). A system is said to be stable if ?

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68). What is the Initial value theorem?

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69). If x(t) =δ(t) then Laplace transform of X(S) and Roc ?

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70). If Laplace transform of x(s) is rational then ROC?

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71). If x(t) is Right sided signal then ROC of its Laplace transform of X(s) will be?

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72). If x(t) is Right sided signal then ROC of its Laplace transform of X(s) will be?

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73). If x(t) is Double sided signal then ROC of its Laplace transform of X(s) will be ?

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74). Frequency domain involves in?

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75). What is the Laplace transform of the signal x(t) = (dδ(t))/dt?

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Laplace Transform MCQs for Students

76). What is the Laplace transform of x(t) = 1/(√Πt)?

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77). Frequency is expressed as ?

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78). Which of the following is the advantage of frequency domain?

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79). What is The Unilateral Laplace transform?

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80). What is The Bilateral Laplace transform?

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81). What is Laplace transform?

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82). What is the Laplace transform of the unit step function?

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83). What is the inverse Laplace transform of 1/s^2?

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84). What is the Laplace transform of e^(-at)u(t)?

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85).What is the Laplace transform of a periodic function?

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86). What is the Laplace transform of a impulse function?

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87). Laplace transform can be used for what kind of equation?

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88). What is the Laplace transform of a derivative of a function?

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89). What is the Laplace transform of a integral of a function?

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90). What is the Laplace transform of a convolution of two functions?

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91). What is the Laplace transform of a cosine function?

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92). What is the Laplace transform of a sine function?

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93).What is the Laplace transform of a impulse function?

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94).What is the Laplace transform of a function that is zero for tT?

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95). What is the Laplace transform of a function that is zero for t>T?

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96). What is the Laplace transform of a function that is zero for t<T?

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97). What is the Laplace transform of a function that is zero for t<0?

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98). What is the Laplace transform of a function that is zero for t>0?

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99). What is the Laplace transform of a function that is zero for t≠0?

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100). What is the Laplace transform of a function that is zero for t=0?

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