Explore topic-wise MCQs in Signals & Systems.

This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems knowledge and support exam preparation. Choose a topic below to get started.

1.

The Laplace transform of the signal ( int_0^t e^{-3t} ) cos 2t dt is _____________

A. ( frac{-(s+3)}{s[(s+3)^2+4]} )
B. ( frac{(s+3)}{s[(s+3)^2+4]} )
C. ( frac{s(s+3)}{(s+3)^2+4} )
D. ( frac{-s(s+3)}{(s+3)^2+4} )
Answer» C. ( frac{s(s+3)}{(s+3)^2+4} )
Discussion
2.

The Laplace transform of the signal u(t-1) * e-2t u(t-1) is ___________

A. ( frac{e^{-2(s+1)}}{2s+1} )
B. ( frac{e^{-2(s+1)}}{s+1} )
C. ( frac{e^{-(s+2)}}{s+2} )
D. ( frac{e^{-2(s+1)}}{s+2} )
Answer» E.
Discussion
3.

The Laplace transform of the signal t3 u(t) is _____________

A. ( frac{3}{s^4} )
B. ( frac{-3}{s^4} )
C. ( frac{6}{s^4} )
D. ( frac{-6}{s^4} )
Answer» D. ( frac{-6}{s^4} )
Discussion
4.

The Laplace transform of the signal t u(t) * cos 2 t u(t) is _____________

A. ( frac{1}{s(s^2+4 ^2)} )
B. ( frac{2 }{s^2 (s^2+4 ^2)} )
C. ( frac{1}{s^2 (s^2+4 ^2)} )
D. ( frac{s^3}{(s^2+4 ^2)} )
Answer» B. ( frac{2 }{s^2 (s^2+4 ^2)} )
Discussion
5.

The Laplace transform of the signal ( frac{d}{dx} )(te-t u(t)) is ______________

A. ( frac{1}{s(s+1)^2} )
B. ( frac{s}{(s+1)^2} )
C. ( frac{e^{-s}}{s+1} )
D. ( frac{e^{-s}}{(s+1)^2} )
Answer» C. ( frac{e^{-s}}{s+1} )
Discussion
6.

The Laplace transform of the signal u(t) u(t-2) is ______________

A. ( frac{e^{-2s}-1}{s} )
B. ( frac{-e^{-2s}+1}{s} )
C. ( frac{2}{s} )
D. ( frac{-2}{s} )
Answer» C. ( frac{2}{s} )
Discussion
7.

The Laplace transform of the signal sin 5t is _____________

A. ( frac{5}{s^2+5} )
B. ( frac{s}{s^2+5} )
C. ( frac{5}{s^2+25} )
D. ( frac{s}{s^2+25} )
Answer» D. ( frac{s}{s^2+25} )
Discussion
8.

The Laplace transform of the signal e2tu(-t+2) is ___________

A. ( frac{e^{2(s-2)-1}}{s-2} )
B. ( frac{e^{-2s}}{s+2} )
C. ( frac{1-e^{-2(s-2)}}{s-2} )
D. ( frac{e^{-2s}}{s-2} )
Answer» D. ( frac{e^{-2s}}{s-2} )
Discussion
9.

The Laplace transform of the signal e-2tu(t+1) is ___________

A. ( frac{1}{s+2} )
B. ( frac{e^{-s}}{s+2} )
C. ( frac{e^{-(s+2)}}{s+2} )
D. ( frac{-e^{-s}}{s+2} )
Answer» B. ( frac{e^{-s}}{s+2} )
Discussion
10.

The Laplace transform of the signal u (t+2) is _________

A. ( frac{1}{s} )
B. ( frac{-1}{s} )
C. ( frac{e^{-2s}}{s} )
D. ( frac{-e^{-2s}}{s} )
Answer» B. ( frac{-1}{s} )
Discussion
11.

The Laplace transform of signal u(t-2) is ___________

A. ( frac{-e^{-2s}}{s} )
B. ( frac{e^{-2s}}{s} )
C. ( frac{e^{-2s}}{1+s} )
D. Zero
Answer» C. ( frac{e^{-2s}}{1+s} )
Discussion
12.

The inverse Laplace transform of F(s) = ( frac{2}{s^2+3s+2} ) is ______________

A. -2e<sup>-2t</sup> + 2e<sup>-t</sup>
B. 2e<sup>-2t</sup> + 2e<sup>-t</sup>
C. -2e<sup>-2t</sup> 2e<sup>-t</sup>
D. 2e<sup>-t</sup> + e<sup>-2t</sup>
Answer» B. 2e<sup>-2t</sup> + 2e<sup>-t</sup>
Discussion
13.

The inverse Laplace transform of F(s) = ( frac{2}{s+c} e^{-bs} ) is _________________

A. 2 e<sup>-k (t-b)</sup>
B. 2 e<sup>-k (t-b)</sup> u (t-b)
C. e<sup>-k (t-b)</sup> u (t-b)
D. 2 u (t-b)
Answer» C. e<sup>-k (t-b)</sup> u (t-b)
Discussion
14.

Given f (t) = t2e-2x cos (3t). The value of L {f(t)} is __________________

A. ( frac{2(s+2)(s^2+4s-23)}{(s^2+4s+13)^3} )
B. ( frac{2(s-2)(s^2-4s-23)}{(s^2+4s+13)^3} )
C. ( frac{2(s+2)(s^2+4s+23)}{(s^2+4s+13)^3} )
D. ( frac{2(s-2)(s^2+4s-23)}{(s^2+4s-13)^3} )
Answer» B. ( frac{2(s-2)(s^2-4s-23)}{(s^2+4s+13)^3} )
Discussion
15.

The Laplace transform of f(t) = (e-2t 1)2 is ________________

A. ( frac{2}{s+2} + frac{1}{s} )
B. ( frac{1}{s+4} )
C. ( frac{1}{s+4} frac{2}{s+2} + frac{1}{s} )
D. ( frac{2}{s+2} + frac{1}{s} )
Answer» D. ( frac{2}{s+2} + frac{1}{s} )
Discussion