Explore topic-wise MCQs in Signals Systems.

This section includes 9 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.

Find x(∞) if X(s) is given by \(\frac{s-2}{s(s+4)}\).

A. 1
B. -1
C. \(\frac{1}{2}\)
D. –\(\frac{1}{2}\)
Answer» E.
Discussion
2.

Find the final value of the function F(s) given by \(\frac{(s-1)}{s(s^2-1)}\).

A. 1
B. 0
C. -1
D. ∞
Answer» B. 0
Discussion
3.

Find the initial value of f(t) if F(s) = \(\frac{s}{(s+a)^2+ω^2}\).

A. 0
B. -1
C. ∞
D. 1
Answer» E.
Discussion
4.

Find the Laplace transform for f(t) = \(\frac{1}{t}\) [e-2t – e-3t]u(t).

A. ln\(\left(\frac{s-2}{s-3}\right)\)
B. ln\(\left(\frac{s+2}{s+3}\right)\)
C. ln\(\left(\frac{s-2}{s+3}\right)\)
D. ln\(\left(\frac{s+2}{s-3}\right)\)
Answer» C. ln\(\left(\frac{s-2}{s+3}\right)\)
Discussion
5.

Find the Laplace transform of the signal x(t) = te-αt.

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

Find the Laplace transform of the signal x(t) = \(\frac{dδ(t)}{dt}\).

A. 1
B. s
C. \(\frac{1}{s}\)
D. s2
Answer» C. \(\frac{1}{s}\)
Discussion
7.

Find the Laplace transform of the signal x(t) = sin⁡(\(\frac{t}{2}\))u(\(\frac{t}{2}\)).

A. \(\frac{1}{s^2+1}\)
B. \(\frac{s}{s^2+1}\)
C. \(\frac{2s}{(2s)^2+1}\)
D. \(\frac{2}{(2s)^2+1}\)
Answer» E.
Discussion
8.

Find the Laplace transform of the signal x(t) = e-2t cos⁡(200πt)u(t).

A. \(\frac{s}{s^2+(200π)^2}\)
B. \(\frac{s}{s^2-(200π)^2}\)
C. \(\frac{s-2}{(s-2)^2+(200π)^2}\)
D. \(\frac{s+2}{(s+2)^2+(200π)^2}\)
Answer» E.
Discussion
9.

Find the Laplace transform of x(t) = u(t+2) + u(t-2).

A. \(\frac{cos⁡2s}{s}\)
B. \(\frac{cosh⁡2s}{s}\)
C. \(\frac{sinh⁡2s}{s}\)
D. \(\frac{sin⁡2s}{s}\)
Answer» C. \(\frac{sinh⁡2s}{s}\)
Discussion