Explore topic-wise MCQs in Signals Systems.

This section includes 10 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 the inverse Fourier transform of sgn(ω).

A. \(\frac{1}{πt}\)
B. \(\frac{j}{πt}\)
C. \(\frac{j}{t}\)
D. \(\frac{1}{t}\)
Answer» C. \(\frac{j}{t}\)
Discussion
2.

Find the inverse Fourier transform of f(t)=1.

A. u(t)
B. δ(t)
C. e-t
D. \(\frac{1}{jω}\)
Answer» C. e-t
Discussion
3.

Find the convolution of the signals x1 (t) = e-2t u(t) and x2 (t) = e-3t u(t).

A. e-2t u(t) – e-3t u(t)
B. e-2t u(t) + e-3t u(t)
C. e2t u(t) – e3t u(t)
D. e2t u(t) – e-3t u(t)
Answer» B. e-2t u(t) + e-3t u(t)
Discussion
4.

Find the inverse Fourier transform of \(X(ω) = \frac{6+4(jω)}{(jω)^2 + 6(jω) + 8}\).

A. e-2t u(t) – 5e-4t u(t)
B. e-2t u(t) + 5e-4t u(t)
C. -e-2t u(t) – 5e-4t u(t)
D. -e-2t u(t) + 5e-4t u(t)
Answer» E.
Discussion
5.

Find the inverse Fourier transform of jω.

A. δ(t)
B. \(\frac{d}{dt}\) δ(t)
C. \(\frac{1}{δ(t)}\)
D. ∫δ(t)
Answer» C. \(\frac{1}{δ(t)}\)
Discussion
6.

Find the inverse Fourier transform of ej2t.

A. 2πδ(ω-2)
B. πδ(ω-2)
C. πδ(ω+2)
D. 2πδ(ω+2)
Answer» B. πδ(ω-2)
Discussion
7.

Find the inverse Fourier transform of u(ω).

A. \(\frac{1}{2} δ(t) + \frac{j}{2πt}\)
B. \(\frac{1}{2} δ(t) – \frac{j}{2πt}\)
C. δ(t) + \(\frac{j}{2πt}\)
D. δ(t) – \(\frac{j}{2πt}\)
Answer» B. \(\frac{1}{2} δ(t) – \frac{j}{2πt}\)
Discussion
8.

Find the inverse Fourier transform of δ(ω).

A. \(\frac{1}{2π}\)
B. 2π
C. \(\frac{1}{π}\)
D. π
Answer» E.
Discussion
9.

Find the inverse Fourier transform of X(ω) = \(\frac{1+3(jω)}{(3+jω)^2}\).

A. 3e-3t u(t) + 8e-3t u(t)
B. 3te-3t u(t) – 8e-8t u(t)
C. 3e-3t u(t) + 8te8t u(t)
D. 3e-3t u(t) – 8te-3t u(t)
Answer» E.
Discussion
10.

Find the inverse Fourier transform of X(ω) = e-2ω u(ω).

A. \(\frac{1}{2π(2+jt)}\)
B. \(\frac{1}{2π(2-jt)}\)
C. \(\frac{1}{2(2+jt)}\)
D. \(\frac{1}{π(2+jt)}\)
Answer» C. \(\frac{1}{2(2+jt)}\)
Discussion