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.

If the Fourier transform of g(t) is G(ω), then match the following and choose the right answer.

A. (i)-B, (ii)-A
B. (i)-A, (ii)-C
C. (i)-D, (ii)-C
D. (i)-C, (ii)-AView Answer
Answer» C. (i)-D, (ii)-C
Discussion
2.

Find the Fourier transform of sinc(t).

A. Gπ (ω)
B. G2π (ω)
C. \(G_{\frac{π}{2}}\) (ω)
D. Gπ (-ω)
Answer» C. \(G_{\frac{π}{2}}\) (ω)
Discussion
3.

Find the Fourier transform of \(\frac{1}{a+jt}\).

A. 2πeaω u(ω)
B. 2πeaω u(-ω)
C. 2πe-aω u(ω)
D. 2πe-aω u(-ω)
Answer» C. 2πe-aω u(ω)
Discussion
4.

Find the Fourier transform of x(t) = f(t – 2) + f(t + 2).

A. 2F(ω)cos⁡2ω
B. F(ω)cos⁡2ω
C. 2F(ω)sin⁡2ω
D. F(ω)sin⁡2ω
Answer» B. F(ω)cos⁡2ω
Discussion
5.

Find the Fourier transform of u(-t).

A. πδ(ω) + \(\frac{1}{ω}\)
B. πδ(ω) + \(\frac{1}{jω}\)
C. πδ(ω) – \(\frac{1}{jω}\)
D. δ(ω) + \(\frac{1}{jω}\)
Answer» D. δ(ω) + \(\frac{1}{jω}\)
Discussion
6.

Find the Fourier transform of ejω0t.

A. δ(ω + ω0)
B. 2πδ(ω + ω0)
C. δ(ω – ω0)
D. 2πδ(ω – ω0)
Answer» E.
Discussion
7.

Find the Fourier transform of f(t)=te-at u(t).

A. \(\frac{1}{(a-jω)^2} \)
B. \(\frac{1}{(a+jω)^2} \)
C. \(\frac{a}{(a-jω)^2} \)
D. \(\frac{ω}{(a-jω)^2} \)
Answer» C. \(\frac{a}{(a-jω)^2} \)
Discussion
8.

Find the Fourier transform of \(\frac{j}{πt}\).

A. sinc(ω)
B. sa(ω)
C. δ(ω)
D. sgn(ω)
Answer» E.
Discussion
9.

The Fourier transform of a function x(t) is X(ω). What will be the Fourier transform of \(\frac{dX(t)}{dt}\)?

A. \(\frac{X(f)}{jf}\)
B. j2πfX(f)
C. \(\frac{dX(f)}{dt}\)
D. jfX(f)
Answer» C. \(\frac{dX(f)}{dt}\)
Discussion